It would be cool to have a thin layer of liquid around the dice with a small bubble inside, encased in plastic for instance. The bubble always goes up, so it indicates which number is selected.
I bought a red one and I am pleased to say that I rolled a natural 120 at least once with it. If we celebrate the typical natural 20, I wonder what kind of party I should throw for a natural 120.
I will point out that since 120 is divisible by 4, 6, 8, 12, and 20, that this has a unique advantage over all other dice. In theory, ONE of these dice can work as any die in the D20 system by dividing and truncating the result.
Good point. It's obviously very impractical, but it could spark interest in classrooms as gimmick in a calculation game. It could also be used to simulate combinations of these dice as well, like rolling a d6 and a d12. Even though you basically step away from getting the numbers you need immediately by rolling separate dice, at the very least you can't let more than one die roll off the table. Then again, that approach could make for a good exercise of modulo calculation.
That advantages are lost when you need a chart to easy get the converted results and the time this die need to get a real random result, just rolling it is not enough to give a unpredictable result it need a lot of rolling and twisting in all axes to secure all number are viable.
You could also take the remainder of the division as your result, with a remainder of zero being the highest value possible on the die you're simulating.
A game of d120 Yathzee would take hours. Here are but a few hypotheticals: "Alright, I guess I'll score my two 47s for this turn" "Okay time to go for the full house with my 86s and 33s" "Three 1s in a row? That's impressive, but you won't get much score out of that."
You can use it to replace a D2, a D3, a D4, a D5, a D6, a D8, a D10, a D12, a D20, a D30 and by rolling two numbers between one and ten you can generate random numbers between 1 and 100. What other kind of die would you need?
Three suggestions: 1. Think of colouring numbers, or the faces, with the tone or the hue of the colours encoded by the numbers. It will make the die visually more pleasant, and perhaps easier to distinguish the numbers when reading them. 2. Make a transparent die with small bubble floating in a liquid, like water, inside. This way finding which side is up is easier as the bubble goes under the face that is facing up. To make the water-filled die less heavy, you can consider a hollow space inside the die that takes almost all of its inner space, and use a thin layer of water between the surface of the die and the surface of that hollow ball inside. 3. If you make any, or both, of the suggested models, send me one for free to thank me! :)
+Henry Segerman Sure. But so are any other products that do not only want to amaze people, but actually stay in the market. I can imagine myself playing with this die many times before I get bored, but to use it in a game with all the difficulties of reading numbers, hmmm... just do not see it. May be it is not in your intensions to hit the game or casino industry after all, which will be a huge loss. Nevertheless it is quite amusing as it is. Think of and read about Rubik Cubic and the available analysis on the reasons of its success. On average, 1 in 4 people living on earth has played it once. Among many causes, colored face stimuli and its effect on keeping the brain excited for a long time is a major one. Bottom line: It is a great product with great potential, well thought and mathematically correct, but not practical enough at this stage to make it popular. I hope you do not stop here and you do not satisfy yourself with what it is at this point. Best of luck.
Not gonna lie A multi-colored die would not really be pleasing to view It would just be a bleeding rainbow mess The second suggestion is interesting but expensive and even more impractical I recommend using a small level tool to find the direct top side Also I don't think someone would send someone else an incredibly expensive die just for free because you gave them a suggestion I think if you want to incorporate those ideas yourself, you should probably manufacture your own D120 Might get an idea of how hard it is to make in the process
Damn I always thought the D100 was the biggest die out there, can't believe this is the first mass produced die from just last month! Pretty neat. I don't play AD&D but some times my friend and I roll dice to see what videogame we'll play so I kept telling him as a joke I was going to buy some AD&D dice (I really did). He'd be astonished if I busted this sucker out.
@ValkyRiver The d100s are more like golf balls than dice. d100s don't use identically-shaped polygons for all faces, making them mathematically unfair. They're effectively truncated spheres. What I find rather interesting about the d120 is that despite having 20% more sides than a d100, it has better rolling behavior. Also I'm surprised that it rolls better than the d60 which is half the sides. Also the d120 is effectively a bifurcation of a d60. The kite shapes on a d60 get split in half to triangles on a d120, and somehow this fixes the d60 being too close to a sphere to roll quickly rather than worsening the problem. The d120 can be used for percentage rolls, even without throwing away numbers beyond 100, because in many TTRPG games for stuff like damage calculation, having percentages over 100 would be useful as random boosts, making the game more dynamic. So if using a d120 for percentage rolls like a d100, it's not strictly necessary to re-roll rolls of 101 and higher in stuff like TTRPGs. A natural 120 would be like a full critical hit.
@@stgigamovement i think this is the biggest misconception with the d120, we don't get the shape by modifying other previous shapes. the d120 shape is just another catalan solid, and it's just a coincidence that it is related to the d60 shape
It's so nice, I have a project that needed a random result spread of results 1-100 (well 99 and 1) so a D100 is perfect, but I wanted to add 13 to the "pool" making 112 and found fairly easily the extras to bring the pool up to 119. It can be used as a D4, D6, D8, D10, D12, D20, D100 and I have found a use for the D120 as itself (119 and 1) 😁
Michael Lubin no u dont otherwise ud most likely die by the time u rolled 121 times or even if it was the first time someone rolled it then 1 in 120 people who rolled it would die the first time they rolled it
@@chasemarangu thats not how it works. you could still roll the die and get the same number as before, which means no, rolling it 120 times doesnt mean you'll get a number at least once.
@@uwnoodle i know. I your chance of dying at least once after rolling 121 times is 1−(120/121)¹²¹ ≈ 63.34% which is greater then 50% so BAM THERE, YOUR MOST LIKELY DEAD' (still good chance of alive, but it is less then)
We don't know that. I would be very surprised if it's the only solution - the search space is so enormous that it seems unlikely that we would have found the only solution.
@@brendanmurphy4429 So it is essentially a cylinder except the side it rolls along is many very narrow rectangle/triangles? He did say that was possible in the video, but is not a very practical die, unlike this one that is more fair to roll and has omnidirectional symmetry.
"D3 for the Elven-kings under the sky, D7 for the Dwarf-lords in their halls of stone, D9 for Mortal Men doomed to die, D1 for the Dark Lord on his dark throne. One Dice to rule them all, One Dice to find them, One Dice to bring them all, and in the darkness bind them."
There are sevral uses for the d120 and one of which is it can be used as an d% (or a d100), by rerolling the die when it lands at numbers from 101 to 120, give you a "fair" d%/d100 with only a 1 in 6 chance of rerolling the die.
Okay, I ordered the five piece set. I find the game possibilities of the d120 to be a lot of fun to explore. I'm looking forward to the uses people come up with this and am hoping for a bunch of ideas to be posted. I've heard demand is fantastic, I'm not surprised and good for Dicelab!
Do you play D&D? Are you tired of losing...ALL...THOSE...DAMN...DICE! Then buy the D120. Roll it. Divide number rolled by 6 for a d20, 10 for a d12, 12 for a d10, 15 for a d8, 20 for a d6, and 30 for a d4. Round up. ONLY 1 die!
Interested in keeping this dice fair, but also make it roll more smoothly. I do understand that all of the faces have the same dihedral angles between their neighbors. If the 10 face vertices were shortened from the decagon base they rise from, that would make it less spiky and roll better. That being said, this being an accurate Catalan solid is very cool.
robertethanbowman I think it’s an advantage that it doesn’t roll too well. The d60 doesn’t have the degree ten spikes, and it rolls too well - it takes forever to settle down on a face.
@@henryseg Thanks for your reply. I was looking at the d120 and while I am 99.99999% sure that what I am going to ask now is not possible, I wonder why all of the 120 scalene triangles can't be split into 4 congruent triangles and then with some finagling you could make a 480 sided die. But tweaking the radius of all of the vertex types, the three for the current d120 and the 3 more from bisecting all of the edges, to make it a fair die would a challenge if it is even possible. Looking this up more, maybe this would just be like making a geodesic of the d120 by triangular subdivision. Ah, looking at this more, even if the all of the 480 triangles had the same size and shape (by some computerized sorcery) they would not be the same because there would a few different types of neighbor groupings for the triangle faces. While for the d120 each face triangle has the same (or exactly mirrored) faces in the same way as neighbors. The new triangular faces in the center of the 10-vertex will be physically isolated from the new faces in the center of the 4-vertex and 6-vertex.
The fact that this rolls better than my d100 is a good thing, especially given that it has significantly more sides. In the heat of a game, you don't want your dice rolling forever and falling off the table. Especially when it's around the size of a golf ball. Also, it helps when rolling it on softer surfaces. Also, the wobbling can add to the suspense of any game using it. I use my d120 in conjunction with a program I wrote known as BWTC32Key for the purposes of cryptography (in this case password generation). I'm not a TTRPG player or math person. I got a d120 purely for cryptographic purposes, and it actually has done me some good, because a month later I HAD to use it for real, and it's gone well. I even made Diceware word lists based on two lists from r/d120Lists, specifically the single-word personality traits and the list of NPC professions. 120^2 is around double the entropy of traditional Diceware lists. So in actuality, my password system uses a d120 to generate entropy as input data, and a human-memorable password. Basically, I take my d120, roll it for some time and write the rolls down (this becomes a recovery key), and then that is stored in a text document. You "upload" it to BWTC32Key (its entirely client-side offline JS) with a password of your choice in the relevant box. For the extremely-security-conscious, you can take the word lists, and roll for a personality and for a profession. You can stack if you want, and even chain the program into itself, because what makes it a password generator is that it outputs to text, though it's Base32768 (best way to store data as text) so unless your site supports Unicode passwords, you need to use UTF7 too. So the idea is that, you know the components of your password (the file and the memorable string), and the program "assembles" them into something extremely strong, especially given the double usage of d120s, which are great analog RNGs. I've tested its efficacy even against quantum levels of bruteforce and it's held. I've tested it against MD5 attacks, and it's survived. Basically, a d120 can be used to truly lock down one's passwords. No, you don't roll one every time you log in. You log in by putting your memorable/ d120 Diceware password in, and then uploading the file with rolls, and then the output string would be your password you give the site. Basically, one middle step. Also, the program can be used to store passwords and other data too. It uses AES256. Secondly, I've found that a d120 could be interesting for some type of drawing. They make raffle drums large enough to hold 15000 (120^2 + a multiple of 120) tickets. Now, you'd use the d120 to select the number that would be the winner. Also, Powerball balls are around the size of golf balls, as are d120s. Something that would be absolutely ridiculous would be to replace all 6 balls in Powerball with d120s, making the 1 in 292 million odds of Powerball over 10,000 times worse. I can't see how that would be a good idea. A lottery inside a TTRPG with just 1 d120 would work well, as would using it for boosted items. Also, 120 sides is just enough to fit the 78 cards in a Tarot deck, the two jokers in a typical deck of cards that aren't in tarot, and the entirety of a spirit board (0-9, A-Z, Yes, No, Hello, Goodbye). That adds up to an even 120. The effect is best with a Malachite or glow-in-the-dark d120. Also, ASCII is 96 characters, 120-96 is 24, and 4x24 is 96. So, you can roll random ASCII with a d120 even if the number is 97 or higher. Now, 96/256 is relatively clean, so you can roll enough random ASCII to get random bytes (120 is just shy of 7-bit, AKA 2^7, AKA 128) via Base96. Meanwhile, to get random bytes on a d16 you need to roll twice. On a d120 you have much better efficiency. Basically, d120s are quite useful for computing purposes, especially in the area of cryptography.
A hollow and transparent sphere with numbered grooves and one or two or more marbles inside Launched it would get more results based on where the inside marbles fit together. These results, in the case of several marbles, would always be different but close For instance: marble1 = 40 and marble2 = 43 ... so 40 with a delta = 3 would it make sense?
Even most d8 dice don't have pips. Fitting lots of dots onto small faces just isn't viable, partly due to readability but also partly due to manufacturing and engineering tolerances. Also, even if it did work, they'd be small enough to be really worn after extended use. Numbers just make the most sense. Also, the three-digit numbers on the d120 are tightly crammed into a small scalene triangle and this was a challenge in terms of engineering tolerances to make them hardy enough. The metal d120s you can buy for 10x the price have the numbers laser-etched into the metal, allowing for a more-conventional font. I don't think pips would work with laser well either.
To make the die truly fair, do you need to ensure that the amount of weight removed by the engraving of the numbers is the same, for all faces, or in some other way balanced? Presumably you would. And is that more and more necessary, as you increase the number of faces? (Has the time come for producing dice whose numbers are visible only to some external device that reveals them?) Also, to roll a die fairly, is it necessary to roll it further, the more faces it has, or with more tossing in your hand before you launch it?
+Cedric I thing that inaccuracies in the moulding process would outweigh any differences coming from the amount of material removed from each face. Small differences in the diameters of a die, as measured between different pairs of opposite faces, can have a huge effect. On rolling fairly - you want to mix up the possibilities well, and of course with a big die there are more possibilities. I would guess that tossing in the hand is likely more useful for this than rolling longer, but I don't have any hard evidence or argument on the question.
@@henryseg Hello, I've purchased one of these for a gift and one for myself. We've been using this to decide who goes first in games for years. Can you confirm that the numbers that can be read upsidedown, are meant to be read with the dot on the left? I guess it doesn't matter as long as we are consistently reading all numbers the same way. It just seems like lately we can't agree where the dot should be.
@@Chestnut529 The numbers on each face all read away from the corner of the face where ten faces meet. So the dot is to the left of the number as you read it.
Hi Henry, nice to run into you online (this is Nigel from Manchester/Quirkus). The stuff about numerical balancing got me pondering a bit, and rather than bother doing anything more than have my brain toying with it I figured you'd probably already know the answers to what I was wondering... So it occurs to me that one can never numerically balance a D6, since around one vertex you're forced into a total of 6 and around another a total of 15 (assuming you've used the usual sum of opposite sides), which lead to my first question - what is the minimum number of sides for a die to be numerically balanced? I then got to having a bit of a think about distributions of possible numbering systems. It's obvious that when numbering a die totals on faces meeting at vertices can range from 1+2+3+...+a (where a is the number of faces meeting at that vertex) to n+(n-1)+(n-2)+...+(n-a+1) (where n is the number of faces on the die). The possible numbering systems would (at least on first consideration without actually setting up any kind of sample space or doing any maths) clearly increase with an increase in n. My assumption at this point is that the distribution of possible numbering systems will tend toward a normal curve centred about numerically balanced, would that be the case? (And are D4s and D6s the only dice forcing a numbering system which includes both highest and lowest possible vertex totals ). Related issues which I came across - is there a relatively straightforward relationship between n and the range of possible vertex totals? Is there a relatively straightforward relationship between n and the amount of possible numbering solutions? When dealing with dice with a lower n than the answer to my first question, is the variance of the "fairest" numbering system(s) from perfectly numerically balanced related to n? Along similar lines (OK, I could probably just google the answer to this, and I do kinda feel like I should already know the answer, but while I have your attention...), how do n-agons with equal edge lengths compare to n-agons with unequal edge lengths for probabilities of landing on a particular face? You've mentioned in other comment answers that there is no mathematical argument for different-shaped-face-dice being fair (at least on every-face-numbered dice), so clearly P(1)=P(2)=P(3)=...=P(n) isn't simply down to equal surface area for sides 1-n, though that would appear to be the case from casual observation.
+pigflicker Hi Nigel! Are you around July 30 by any chance? Distribution of possible numberings: I guess it would be approximately normal, just because everything is. Interesting question there - how far from numerically balanced can you get? A "roller" die based on an n-sided prism trivially forces highest and (equal) lowest vertex totals. I don't think there are any others beyond the d4 and d6. Relationship between n, a and range of possible vertex totals - I would guess that you can get anything between the max and min you listed apart from the very small dice. Number of possible numberings is n!, but then you want to divide out by symmetries of the die. Variance of "fairest" for small dice is likely a bunch of special cases. n-gons with equal lengths have equal probability for each face (assuming the initial position is random, rolling them won't bias the answer towards any particular face). With unequal lengths, the answer depends on how you roll it and the physical properties of the table and die. If you have access to it, see "Dungeons, Dragons and Dice" by K. Robin McLean, The Mathematical Gazette, Vol. 74, No. 469 (Oct., 1990), pp. 243-256, in particular the example on p252 - 253. The example involves rolling a long rectangle - usually you'd expect it to land on one of the long sides. Now spin the rectangle very fast, and make the table infinitely sticky. It's more likely to hit on a corner which then sticks to the table, so that the die continues rotating then stops, with a short side down.
Potentially could be around on the 30th. There won't be a quirkus on 1st August though. Ah, knew I wasn't phrasing my questions particularly well... Yes, n! if you're just spraying numbers at the die, but (n/2)!/symmetries is the answer to what I was asking since I was assuming n+1 for opposite faces. (Thanks for pointing me in that direction, it is a straightforward relation...). By range of possible vertex totals I was actually asking a relatively trivial question (which, to be fair, I still haven't bothered working out) range of possible vertex totals for any die is obviously just [n+(n-1)+(n-2)+...+(n-a+1)] - [1+2+3+...+a], I was just after an expression in n to get straight to the answer to that tediously long sum (at least for larger n) without all the faffing. My wife teaches at the University of Manchester, so I should be able to get hold of the Mathematical Gazette article, thanks. And thanks for taking the time to answer... Hopefully we can throw stuff at each other in July.
+AdamLore yes Adam a Disdyakis Tria, check out the 120 DNA Code www.codefun.com .. download the free disdyakis earthgrid for Google earth here www.vortexmaps.com/hagens-grid-google.php and the new physics modelling unified field as disdyakis here www.amazon.com/The-Mereon-Matrix-Perspective-Elsevier/dp/0124046134
A d120 is disdyakis triacontahedron, equivalent to a hexakis icosahedron. It's basically turning every triangle on an icosahedron into a 6-sided pyramid, hence the "hexakis" part. It's also a decakis dodecahedron, because it's a d12/dodecahedron with each pentagon made into a ten-sided pyramid. It's also a d30 but with each diamond/rhombus turned into a 4-sided pyramid. And it's a bifurcation of the d60's shape, turning each 4-sided kite face into two scalene triangles. A d120 is the multiple of an entire polyhedral dice set plus a LOT of the rarer shapes, including ones that can't be made into dedicated dice fairly. It can do a d2, d3, d4, d5, d6, d7, d8, d9 (according to one commenter), d10, d11, d12, d14, d15, d16, d17, d20, d24, d30, d40, d60, and d100 in addition to its role as a d120. Basically, a d120 can take the place of an entire set of dice, including the rare ones. Partly because a lot of the members of quite a few dice sets multiply to fit into 120.
@calculator_gaming well, D2, d3, d4, d5, and D6 are factors of 120. D7 is possible because 7x17 = 119, so if you re-roll a 120 and divide anything else by 17 you get a d7. 8 is a factor of 120. One commenter now lost to time said 9 would theoretically work but it's just barely possible given the division being murky. 10 is a factor of 120. 11x11 = 121, and we're doing division, so dividing by 11 and rounding can essentially work as a d11. D12 is a factor of 120. D14 is in the same boat as d9 but much closer to an integer. D15 is a factor of 120. D16 is obtained by re-rolling 120s, and if the number you get by dividing the roll by 7 is 17, you re-roll. The makers of the Metal d120 have made an easier table. D16 is useful for hexadecimal. D17 is a re-roll if 120, but if 119 or lower, divide by 7. D20, d24, d30, d40, and d60 are all factors of 120. D100 means throwing away a 101 or higher, but if doing percentages it's helpful for lucky boosts in your TTRPG, same for encounter tables where having 20 extra cells is better. Basically, a d120 can be almost an entire set of common and rare dice with division. And then there's rolling one for more-digital purposes.
Something about the numbers are wrong, they (all the numbers in a corner) don't sum to 605 in the following cases which were featured in the video: 6 sided vertex at 3.49 - 117, 107, 2, 104, 28 and 5 sum to 363. 4 sided vertex at 3.57 - 2, 107, 13 and 120 sum to 242. 4 sided vertex at 4.17 - 100, 112, 18 and 12 also sum to 242. Depending on how many sides a vertex has, the sum is different, but consistent. A 4 sided vertex will sum to 242, a 6 sided vertex will sum to 363 and a 10 sided vertex sums to 605.
0:28 "This is the largest number that is possible on a mathematically fair die." Not if you have the ability to precisely manufacture a tungsten (to prevent the sides from wearing down into each other) trapezohedron
Concerning weight and balance... Each side has a number engraved. That engraving reduces the amount of plastic and weight. Would one side be lighter and then more likely to stop on top?
+Philip Techi Sure, this is a factor. But I would think that other issues, e.g. a slightly oblate die, or differences in rounding off of the corners during tumbling and polishing will have a much greater effect.
How much do you think that removal of plastic would *really* affect the dice? I don't think it would counter-act the force of it rolling at all. It would have to be an impossibly precise roll, for that removal of weight to be a factor of where it lands. Wind, and breezes also affect dice as well, and wonky tables would do it as well.
i couldn't find the fair numbering anywhere so i had to keep pausing and writing down what i saw from different orientations, please upload the fair numbering on the website!
+anothermoth The absolute value of difference from 60.5 would be the numbers of a d60, minus 0.5, written twice over the die. Are you asking if it would still be balanced?
Henry Segerman Yes, was wondering if one area of the dice might have significantly more extreme values than another. If so, a subtly biased dice might roll significantly more (or fewer) extreme numbers while still converging to the same average as a fair dice.
+anothermoth It seems to me that this would be impossible to avoid. The 120 has to go somewhere, and with the balancing condition, there have to be small numbers near it. So there will be quite a bit of variance near the 120.
Not quite sure, if this is really "fair" ... it is not a "Plato solid" and therefore the angles between the triangles is not the same. Or Am I missing something here...
I thought these dice looked familiar. I was just trying (and failing) to buy at mathartfun.com yesterday, and today I find your channel via a hypoerbolic CodeParade video that was on my Watch Later list for some time. Talk about coincidence. Oh and as to why I failed to buy... For international orders they don't charge taxes and I know in such cases the import duties and taxes will be sky high :(
if you have a few years to spare, you should find all the possible solutions with perfectly average numbers around every vertex, and see which of all the solutions is the most balanced when splitting the die in half in all the directions that you can split it :D
I think you possibly could also have a larger fair die if you made it so that some numbers repeated, although maybe you'd need so many to end up at a nice round number that you'd have a sphere.
The dots are to the lower left of a number. So it would be .68 meaning 68. The orientation can also be inferred from the neighboring numbers around a degree 10 corner.
Wooooow thats what godgodessgoodness could be doing just rollin some dice, reincarnated trials of creation, we could be the result of just a cast of one hand?
This cannot be correct - "It has 120 faces - it is the largest number, that is possible on a mathematically fair die". You could do a trapezohedron with any even number of faces. It will just be annoying trying to determine the result if it's a D2000.
+therandomdot Your comment got me to thinking about golf balls. A quick Google search found that they have between 300 - 500 dimples (with 336 as a very common number). Why couldn't someone write numbers in the dimples to create d336 or more? Obviously it would roll for a long time and I don't believe most golf balls have symmetry, but could this be done? and would it be fair?
Assuming that a golf ball could be made symmetrical (it appears that most actually are), can one achieve a shape with more than 120 "sides" that is fair?
It would be cool to have a thin layer of liquid around the dice with a small bubble inside, encased in plastic for instance. The bubble always goes up, so it indicates which number is selected.
Fun fact: this is essentially how old magic 8-balls work
@@keyboardegg931 Is it not how new ones work still? Or do you just mean old as in 8 balls are an old fashioned item.
@@paws27 yeah, I just meant that anything like a magic 8-ball nowadays would probably be an app or something
@@keyboardegg931 fun fact, america.
@@jan_Mamu what
I bought a red one and I am pleased to say that I rolled a natural 120 at least once with it.
If we celebrate the typical natural 20, I wonder what kind of party I should throw for a natural 120.
I think you just win D&D if you roll a nat 120
I use d100s for actions in games I DM, and I must say, a natural 100 is quite the experience.
@@celestialtree8602 if you roll a d100, the entire campaign stops, in lore.
I will point out that since 120 is divisible by 4, 6, 8, 12, and 20, that this has a unique advantage over all other dice.
In theory, ONE of these dice can work as any die in the D20 system by dividing and truncating the result.
Good point.
It's obviously very impractical, but it could spark interest in classrooms as gimmick in a calculation game.
It could also be used to simulate combinations of these dice as well, like rolling a d6 and a d12. Even though you basically step away from getting the numbers you need immediately by rolling separate dice, at the very least you can't let more than one die roll off the table.
Then again, that approach could make for a good exercise of modulo calculation.
That advantages are lost when you need a chart to easy get the converted results and the time this die need to get a real random result, just rolling it is not enough to give a unpredictable result it need a lot of rolling and twisting in all axes to secure all number are viable.
Also 10
120 - 2, 3, 4, 5, 6, 8,10,12, 15, 20, 24, 30, 60
You could also take the remainder of the division as your result, with a remainder of zero being the highest value possible on the die you're simulating.
The odds of getting yahtzee on one roll with a 120 sided dice are 1 in 207,360,000.
*[Please note that you should never play Yahtzee with five d120s]*
I would think it would be even higher then that with d20s its 1 in a 160,000
A game of d120 Yathzee would take hours.
Here are but a few hypotheticals:
"Alright, I guess I'll score my two 47s for this turn"
"Okay time to go for the full house with my 86s and 33s"
"Three 1s in a row? That's impressive, but you won't get much score out of that."
As if it takes long enough to roll a yahtzee with 6 sided dice!
You can use it to replace a D2, a D3, a D4, a D5, a D6, a D8, a D10, a D12, a D20, a D30 and by rolling two numbers between one and ten you can generate random numbers between 1 and 100. What other kind of die would you need?
How tf does a d3 work?
@@azucenamoranfente3307 take the remainder of the roll of the dice when dividing by 3 this would simulate a d3
Also a D24 and D40 and D60.
@@Trilobita98 huh?
incredible design
Three suggestions:
1. Think of colouring numbers, or the faces, with the tone or the hue of the colours encoded by the numbers. It will make the die visually more pleasant, and perhaps easier to distinguish the numbers when reading them.
2. Make a transparent die with small bubble floating in a liquid, like water, inside. This way finding which side is up is easier as the bubble goes under the face that is facing up. To make the water-filled die less heavy, you can consider a hollow space inside the die that takes almost all of its inner space, and use a thin layer of water between the surface of the die and the surface of that hollow ball inside.
3. If you make any, or both, of the suggested models, send me one for free to thank me! :)
Interesting, but both would be considerably more difficult to manufacture, and so considerably more expensive.
+Henry Segerman Sure. But so are any other products that do not only want to amaze people, but actually stay in the market. I can imagine myself playing with this die many times before I get bored, but to use it in a game with all the difficulties of reading numbers, hmmm... just do not see it. May be it is not in your intensions to hit the game or casino industry after all, which will be a huge loss. Nevertheless it is quite amusing as it is.
Think of and read about Rubik Cubic and the available analysis on the reasons of its success. On average, 1 in 4 people living on earth has played it once. Among many causes, colored face stimuli and its effect on keeping the brain excited for a long time is a major one.
Bottom line: It is a great product with great potential, well thought and mathematically correct, but not practical enough at this stage to make it popular. I hope you do not stop here and you do not satisfy yourself with what it is at this point. Best of luck.
Not gonna lie
A multi-colored die would not really be pleasing to view
It would just be a bleeding rainbow mess
The second suggestion is interesting but expensive and even more impractical
I recommend using a small level tool to find the direct top side
Also
I don't think someone would send someone else an incredibly expensive die just for free because you gave them a suggestion
I think if you want to incorporate those ideas yourself, you should probably manufacture your own D120
Might get an idea of how hard it is to make in the process
Thats amazing!
Even though you rolled a nat 1 ;) @1:59
Damn I always thought the D100 was the biggest die out there, can't believe this is the first mass produced die from just last month! Pretty neat. I don't play AD&D but some times my friend and I roll dice to see what videogame we'll play so I kept telling him as a joke I was going to buy some AD&D dice (I really did). He'd be astonished if I busted this sucker out.
The D100 isn’t even isohedral
@ValkyRiver The d100s are more like golf balls than dice. d100s don't use identically-shaped polygons for all faces, making them mathematically unfair. They're effectively truncated spheres. What I find rather interesting about the d120 is that despite having 20% more sides than a d100, it has better rolling behavior. Also I'm surprised that it rolls better than the d60 which is half the sides. Also the d120 is effectively a bifurcation of a d60. The kite shapes on a d60 get split in half to triangles on a d120, and somehow this fixes the d60 being too close to a sphere to roll quickly rather than worsening the problem. The d120 can be used for percentage rolls, even without throwing away numbers beyond 100, because in many TTRPG games for stuff like damage calculation, having percentages over 100 would be useful as random boosts, making the game more dynamic. So if using a d120 for percentage rolls like a d100, it's not strictly necessary to re-roll rolls of 101 and higher in stuff like TTRPGs. A natural 120 would be like a full critical hit.
@@stgigamovement i think this is the biggest misconception with the d120, we don't get the shape by modifying other previous shapes. the d120 shape is just another catalan solid, and it's just a coincidence that it is related to the d60 shape
@@calculator_gaming right
It's so nice, I have a project that needed a random result spread of results 1-100 (well 99 and 1) so a D100 is perfect, but I wanted to add 13 to the "pool" making 112 and found fairly easily the extras to bring the pool up to 119. It can be used as a D4, D6, D8, D10, D12, D20, D100 and I have found a use for the D120 as itself (119 and 1) 😁
Well presented and congratulation on a superb job !
nice critical fail at 2:00
+felipeshaman worst crit fail in the history of ever.
+felipeshaman Happens to me every time.
If you roll a 1, you die instantly.
Michael Lubin no u dont otherwise ud most likely die by the time u rolled 121 times or even if it was the first time someone rolled it then 1 in 120 people who rolled it would die the first time they rolled it
2:00
@@chasemarangu thats not how it works. you could still roll the die and get the same number as before, which means no, rolling it 120 times doesnt mean you'll get a number at least once.
@@uwnoodle i know. I your chance of dying at least once after rolling 121 times is 1−(120/121)¹²¹ ≈ 63.34% which is greater then 50% so BAM THERE, YOUR MOST LIKELY DEAD' (still good chance of alive, but it is less then)
@@chasemarangu ok fair enough but
why did you take the time to go through my channel and comment on my video
Do you know if this is the only arrangement for a numerically balanced d120?
We don't know that. I would be very surprised if it's the only solution - the search space is so enormous that it seems unlikely that we would have found the only solution.
There is one other shape for a d120, but that shape is not mirrored. Meaning there is a flat space on the top and bottom at the same time.
@@brendanmurphy4429 So it is essentially a cylinder except the side it rolls along is many very narrow rectangle/triangles? He did say that was possible in the video, but is not a very practical die, unlike this one that is more fair to roll and has omnidirectional symmetry.
@@ShadowsOfTheSky no, think more like a d4. When the bottom surface is flat, the top would be pointed, or at an angle.
"D3 for the Elven-kings under the sky,
D7 for the Dwarf-lords in their halls of stone,
D9 for Mortal Men doomed to die,
D1 for the Dark Lord on his dark throne.
One Dice to rule them all, One Dice to find them, One Dice to bring them all, and in the darkness bind them."
There are sevral uses for the d120 and one of which is it can be used as an d% (or a d100), by rerolling the die when it lands at numbers from 101 to 120, give you a "fair" d%/d100 with only a 1 in 6 chance of rerolling the die.
Or if you want to add spice to your TTRPG, you could honor the values over 100 and use them as boosts/crits/bonuses.
This item rerolls pickups into enemy and enemys into pick ups, 10 room recharge. 10% chance to work on nob endgame bosses turns them into boss items
Okay, I ordered the five piece set. I find the game possibilities of the d120 to be a lot of fun to explore. I'm looking forward to the uses people come up with this and am hoping for a bunch of ideas to be posted. I've heard demand is fantastic, I'm not surprised and good for Dicelab!
There's r/d120Lists where you can find many TTRPG uses for d120s.
I use my d120 for cryptography purposes.
Playing a game against my gf before, she rolled a 6 on a d6 and happily went "Omg i got a 6! What are the chances!"
We're no longer together.
😂
+stuartrockin your probably single now no doubt.
well he does have his d120 to keep him company
"One in six"
"What are the odds for a D120?"
"One in one hundred twenty"
I also strongly suggest you get in touch with Chessex to discuss the possibility of adding more colors and patterns to the d120
Just ordered the new white glow in the dark d120. collection complete! Let us know if and when even more colors come out
How many of the d120 are there?
This will be the most OP die if used in Baldur's Gate II. Great sword damage for 2d120. LOL
dat jesus-level crit success @ 1:59-2:01 doe
Do you play D&D? Are you tired of losing...ALL...THOSE...DAMN...DICE! Then buy the D120. Roll it. Divide number rolled by 6 for a d20, 10 for a d12, 12 for a d10, 15 for a d8, 20 for a d6, and 30 for a d4. Round up. ONLY 1 die!
Interested in keeping this dice fair, but also make it roll more smoothly. I do understand that all of the faces have the same dihedral angles between their neighbors.
If the 10 face vertices were shortened from the decagon base they rise from, that would make it less spiky and roll better.
That being said, this being an accurate Catalan solid is very cool.
robertethanbowman I think it’s an advantage that it doesn’t roll too well. The d60 doesn’t have the degree ten spikes, and it rolls too well - it takes forever to settle down on a face.
@@henryseg Thanks for your reply.
I was looking at the d120 and while I am 99.99999% sure that what I am going to ask now is not possible, I wonder why all of the 120 scalene triangles can't be split into 4 congruent triangles and then with some finagling you could make a 480 sided die.
But tweaking the radius of all of the vertex types, the three for the current d120 and the 3 more from bisecting all of the edges, to make it a fair die would a challenge if it is even possible.
Looking this up more, maybe this would just be like making a geodesic of the d120 by triangular subdivision.
Ah, looking at this more, even if the all of the 480 triangles had the same size and shape (by some computerized sorcery) they would not be the same because there would a few different types of neighbor groupings for the triangle faces. While for the d120 each face triangle has the same (or exactly mirrored) faces in the same way as neighbors.
The new triangular faces in the center of the 10-vertex will be physically isolated from the new faces in the center of the 4-vertex and 6-vertex.
The fact that this rolls better than my d100 is a good thing, especially given that it has significantly more sides. In the heat of a game, you don't want your dice rolling forever and falling off the table. Especially when it's around the size of a golf ball. Also, it helps when rolling it on softer surfaces. Also, the wobbling can add to the suspense of any game using it. I use my d120 in conjunction with a program I wrote known as BWTC32Key for the purposes of cryptography (in this case password generation). I'm not a TTRPG player or math person. I got a d120 purely for cryptographic purposes, and it actually has done me some good, because a month later I HAD to use it for real, and it's gone well. I even made Diceware word lists based on two lists from r/d120Lists, specifically the single-word personality traits and the list of NPC professions. 120^2 is around double the entropy of traditional Diceware lists. So in actuality, my password system uses a d120 to generate entropy as input data, and a human-memorable password. Basically, I take my d120, roll it for some time and write the rolls down (this becomes a recovery key), and then that is stored in a text document. You "upload" it to BWTC32Key (its entirely client-side offline JS) with a password of your choice in the relevant box. For the extremely-security-conscious, you can take the word lists, and roll for a personality and for a profession. You can stack if you want, and even chain the program into itself, because what makes it a password generator is that it outputs to text, though it's Base32768 (best way to store data as text) so unless your site supports Unicode passwords, you need to use UTF7 too. So the idea is that, you know the components of your password (the file and the memorable string), and the program "assembles" them into something extremely strong, especially given the double usage of d120s, which are great analog RNGs. I've tested its efficacy even against quantum levels of bruteforce and it's held. I've tested it against MD5 attacks, and it's survived. Basically, a d120 can be used to truly lock down one's passwords. No, you don't roll one every time you log in. You log in by putting your memorable/ d120 Diceware password in, and then uploading the file with rolls, and then the output string would be your password you give the site. Basically, one middle step. Also, the program can be used to store passwords and other data too. It uses AES256.
Secondly, I've found that a d120 could be interesting for some type of drawing. They make raffle drums large enough to hold 15000 (120^2 + a multiple of 120) tickets. Now, you'd use the d120 to select the number that would be the winner. Also, Powerball balls are around the size of golf balls, as are d120s. Something that would be absolutely ridiculous would be to replace all 6 balls in Powerball with d120s, making the 1 in 292 million odds of Powerball over 10,000 times worse. I can't see how that would be a good idea. A lottery inside a TTRPG with just 1 d120 would work well, as would using it for boosted items. Also, 120 sides is just enough to fit the 78 cards in a Tarot deck, the two jokers in a typical deck of cards that aren't in tarot, and the entirety of a spirit board (0-9, A-Z, Yes, No, Hello, Goodbye). That adds up to an even 120. The effect is best with a Malachite or glow-in-the-dark d120.
Also, ASCII is 96 characters, 120-96 is 24, and 4x24 is 96. So, you can roll random ASCII with a d120 even if the number is 97 or higher. Now, 96/256 is relatively clean, so you can roll enough random ASCII to get random bytes (120 is just shy of 7-bit, AKA 2^7, AKA 128) via Base96. Meanwhile, to get random bytes on a d16 you need to roll twice. On a d120 you have much better efficiency.
Basically, d120s are quite useful for computing purposes, especially in the area of cryptography.
@henryseg isnt that one of the reasons why the d60 is popular though?
Now I want to think of a game mechanic that would actually use a d120 as an excuse to include this in something i'm working on.
Lottery tickets. Player says “20” if they roll a 20 they get huge reward ( quest or money or weapon)if not they pay a fine
Your roll equals your damage output idk.
A hollow and transparent sphere with numbered grooves and one or two or more marbles inside
Launched it would get more results based on where the inside marbles fit together.
These results, in the case of several marbles, would always be different but close
For instance:
marble1 = 40 and marble2 = 43 ... so 40 with a delta = 3
would it make sense?
*I want to buy one just so that when there is a coin flip, I can flex my 120-sided dice!*
Good thing they didn't use pips!
Even most d8 dice don't have pips. Fitting lots of dots onto small faces just isn't viable, partly due to readability but also partly due to manufacturing and engineering tolerances. Also, even if it did work, they'd be small enough to be really worn after extended use. Numbers just make the most sense.
Also, the three-digit numbers on the d120 are tightly crammed into a small scalene triangle and this was a challenge in terms of engineering tolerances to make them hardy enough. The metal d120s you can buy for 10x the price have the numbers laser-etched into the metal, allowing for a more-conventional font.
I don't think pips would work with laser well either.
well of course, imagine trying to fit 120 dots onto that small face. and even then, it would be impossible to read
To make the die truly fair, do you need to ensure that the amount of weight removed by the engraving of the numbers is the same, for all faces, or in some other way balanced? Presumably you would. And is that more and more necessary, as you increase the number of faces? (Has the time come for producing dice whose numbers are visible only to some external device that reveals them?)
Also, to roll a die fairly, is it necessary to roll it further, the more faces it has, or with more tossing in your hand before you launch it?
+Cedric I thing that inaccuracies in the moulding process would outweigh any differences coming from the amount of material removed from each face. Small differences in the diameters of a die, as measured between different pairs of opposite faces, can have a huge effect.
On rolling fairly - you want to mix up the possibilities well, and of course with a big die there are more possibilities. I would guess that tossing in the hand is likely more useful for this than rolling longer, but I don't have any hard evidence or argument on the question.
+Henry Segerman Thanks, Henry. It's all fascinating, and a little mind-boggling, to contemplate.
@@henryseg Hello, I've purchased one of these for a gift and one for myself. We've been using this to decide who goes first in games for years. Can you confirm that the numbers that can be read upsidedown, are meant to be read with the dot on the left? I guess it doesn't matter as long as we are consistently reading all numbers the same way. It just seems like lately we can't agree where the dot should be.
@@Chestnut529 The numbers on each face all read away from the corner of the face where ten faces meet. So the dot is to the left of the number as you read it.
I just ordered one in black, i saw an article in The New Yorker. I want one! :)
I made a board game with the d120
It's called the virus
Razzi Syabama How does It works?
We’ll never know :(
HAHAHA each comment and reply is one year after the previous one lmao
Aaaaahhhhhhhhhh
Hi Henry, nice to run into you online (this is Nigel from Manchester/Quirkus). The stuff about numerical balancing got me pondering a bit, and rather than bother doing anything more than have my brain toying with it I figured you'd probably already know the answers to what I was wondering...
So it occurs to me that one can never numerically balance a D6, since around one vertex you're forced into a total of 6 and around another a total of 15 (assuming you've used the usual sum of opposite sides), which lead to my first question - what is the minimum number of sides for a die to be numerically balanced?
I then got to having a bit of a think about distributions of possible numbering systems. It's obvious that when numbering a die totals on faces meeting at vertices can range from 1+2+3+...+a (where a is the number of faces meeting at that vertex) to n+(n-1)+(n-2)+...+(n-a+1) (where n is the number of faces on the die). The possible numbering systems would (at least on first consideration without actually setting up any kind of sample space or doing any maths) clearly increase with an increase in n. My assumption at this point is that the distribution of possible numbering systems will tend toward a normal curve centred about numerically balanced, would that be the case? (And are D4s and D6s the only dice forcing a numbering system which includes both highest and lowest possible vertex totals ).
Related issues which I came across - is there a relatively straightforward relationship between n and the range of possible vertex totals? Is there a relatively straightforward relationship between n and the amount of possible numbering solutions? When dealing with dice with a lower n than the answer to my first question, is the variance of the "fairest" numbering system(s) from perfectly numerically balanced related to n?
Along similar lines (OK, I could probably just google the answer to this, and I do kinda feel like I should already know the answer, but while I have your attention...), how do n-agons with equal edge lengths compare to n-agons with unequal edge lengths for probabilities of landing on a particular face? You've mentioned in other comment answers that there is no mathematical argument for different-shaped-face-dice being fair (at least on every-face-numbered dice), so clearly P(1)=P(2)=P(3)=...=P(n) isn't simply down to equal surface area for sides 1-n, though that would appear to be the case from casual observation.
+pigflicker Hi Nigel! Are you around July 30 by any chance?
Distribution of possible numberings: I guess it would be approximately normal, just because everything is. Interesting question there - how far from numerically balanced can you get?
A "roller" die based on an n-sided prism trivially forces highest and (equal) lowest vertex totals. I don't think there are any others beyond the d4 and d6.
Relationship between n, a and range of possible vertex totals - I would guess that you can get anything between the max and min you listed apart from the very small dice.
Number of possible numberings is n!, but then you want to divide out by symmetries of the die.
Variance of "fairest" for small dice is likely a bunch of special cases.
n-gons with equal lengths have equal probability for each face (assuming the initial position is random, rolling them won't bias the answer towards any particular face). With unequal lengths, the answer depends on how you roll it and the physical properties of the table and die. If you have access to it, see "Dungeons, Dragons and Dice" by K. Robin McLean, The Mathematical Gazette, Vol. 74, No. 469 (Oct., 1990), pp. 243-256, in particular the example on p252 - 253. The example involves rolling a long rectangle - usually you'd expect it to land on one of the long sides. Now spin the rectangle very fast, and make the table infinitely sticky. It's more likely to hit on a corner which then sticks to the table, so that the die continues rotating then stops, with a short side down.
Potentially could be around on the 30th. There won't be a quirkus on 1st August though.
Ah, knew I wasn't phrasing my questions particularly well... Yes, n! if you're just spraying numbers at the die, but (n/2)!/symmetries is the answer to what I was asking since I was assuming n+1 for opposite faces. (Thanks for pointing me in that direction, it is a straightforward relation...). By range of possible vertex totals I was actually asking a relatively trivial question (which, to be fair, I still haven't bothered working out) range of possible vertex totals for any die is obviously just [n+(n-1)+(n-2)+...+(n-a+1)] - [1+2+3+...+a], I was just after an expression in n to get straight to the answer to that tediously long sum (at least for larger n) without all the faffing.
My wife teaches at the University of Manchester, so I should be able to get hold of the Mathematical Gazette article, thanks.
And thanks for taking the time to answer... Hopefully we can throw stuff at each other in July.
Very very cool! This is a hexakis icosahedron, right? (or equivalently a disdyakis triacontahedron)
+AdamLore yes Adam a Disdyakis Tria, check out the 120 DNA Code www.codefun.com .. download the free disdyakis earthgrid for Google earth here www.vortexmaps.com/hagens-grid-google.php and the new physics modelling unified field as disdyakis here www.amazon.com/The-Mereon-Matrix-Perspective-Elsevier/dp/0124046134
A d120 is disdyakis triacontahedron, equivalent to a hexakis icosahedron. It's basically turning every triangle on an icosahedron into a 6-sided pyramid, hence the "hexakis" part. It's also a decakis dodecahedron, because it's a d12/dodecahedron with each pentagon made into a ten-sided pyramid. It's also a d30 but with each diamond/rhombus turned into a 4-sided pyramid. And it's a bifurcation of the d60's shape, turning each 4-sided kite face into two scalene triangles.
A d120 is the multiple of an entire polyhedral dice set plus a LOT of the rarer shapes, including ones that can't be made into dedicated dice fairly.
It can do a d2, d3, d4, d5, d6, d7, d8, d9 (according to one commenter), d10, d11, d12, d14, d15, d16, d17, d20, d24, d30, d40, d60, and d100 in addition to its role as a d120.
Basically, a d120 can take the place of an entire set of dice, including the rare ones. Partly because a lot of the members of quite a few dice sets multiply to fit into 120.
@stgigamovement what? where did d17 and the other odd numbers come from?
@calculator_gaming well,
D2, d3, d4, d5, and D6 are factors of 120. D7 is possible because 7x17 = 119, so if you re-roll a 120 and divide anything else by 17 you get a d7. 8 is a factor of 120. One commenter now lost to time said 9 would theoretically work but it's just barely possible given the division being murky. 10 is a factor of 120. 11x11 = 121, and we're doing division, so dividing by 11 and rounding can essentially work as a d11. D12 is a factor of 120. D14 is in the same boat as d9 but much closer to an integer. D15 is a factor of 120. D16 is obtained by re-rolling 120s, and if the number you get by dividing the roll by 7 is 17, you re-roll. The makers of the Metal d120 have made an easier table. D16 is useful for hexadecimal. D17 is a re-roll if 120, but if 119 or lower, divide by 7. D20, d24, d30, d40, and d60 are all factors of 120. D100 means throwing away a 101 or higher, but if doing percentages it's helpful for lucky boosts in your TTRPG, same for encounter tables where having 20 extra cells is better. Basically, a d120 can be almost an entire set of common and rare dice with division. And then there's rolling one for more-digital purposes.
Very nicely done!
I don't play any board games, but I own the 7-Dice Set and a d60 and now I want a d120. I have a problem..
Would love to see the code that crunched out the number locations. Any chance it could be shared?
+noslowerdna Here's a preprint of a paper on the numbering: www.oberlin.edu/math/faculty/bosch/nbd.pdf
+noslowerdna I read that it was some sort of iterative proces so the code is probably pretty ugly.
Something about the numbers are wrong, they (all the numbers in a corner) don't sum to 605 in the following cases which were featured in the video:
6 sided vertex at 3.49 - 117, 107, 2, 104, 28 and 5 sum to 363.
4 sided vertex at 3.57 - 2, 107, 13 and 120 sum to 242.
4 sided vertex at 4.17 - 100, 112, 18 and 12 also sum to 242.
Depending on how many sides a vertex has, the sum is different, but consistent. A 4 sided vertex will sum to 242, a 6 sided vertex will sum to 363 and a 10 sided vertex sums to 605.
Right, the sum is the average value on the die (60.5) times the number of faces around the vertex.
+Henry Segerman Thanks for clarifying!
+vaivij He literally said this in the freakin' video.
Could you chop off the "Corners" and add 12 numbers to make a D132?
+infrabread You could, but then the faces would not all be identical - there would be no mathematical argument that the die would be fair.
0:28 "This is the largest number that is possible on a mathematically fair die."
Not if you have the ability to precisely manufacture a tungsten (to prevent the sides from wearing down into each other) trapezohedron
lol at 2:00 when first demonstrating the die vs other dice, he rolls a 1 on the D120!
Incredible achievement. I want a red and black one
Concerning weight and balance...
Each side has a number engraved. That engraving reduces the amount of plastic and weight. Would one side be lighter and then more likely to stop on top?
+Philip Techi Sure, this is a factor. But I would think that other issues, e.g. a slightly oblate die, or differences in rounding off of the corners during tumbling and polishing will have a much greater effect.
How much do you think that removal of plastic would *really* affect the dice?
I don't think it would counter-act the force of it rolling at all. It would have to be an impossibly precise roll, for that removal of weight to be a factor of where it lands.
Wind, and breezes also affect dice as well, and wonky tables would do it as well.
Fun fact, this is why casino dice are painted on top instead of engraved
How do you even tell which side is directly up at this point?
Epic.
Why didn't you roll 5d120
i couldn't find the fair numbering anywhere so i had to keep pausing and writing down what i saw from different orientations, please upload the fair numbering on the website!
See figure 9 of www2.oberlin.edu/math/faculty/bosch/nbd.pdf
Imaging playing D&D using a D120
Can we please talk about how he rolled a ONE @ 2:01?
The shape is a 5-3-2 as well
If you replaced the numbers with the absolute value of their difference from 60.5, or the square of that, how uniform would the dice be?
+anothermoth The absolute value of difference from 60.5 would be the numbers of a d60, minus 0.5, written twice over the die. Are you asking if it would still be balanced?
Henry Segerman Yes, was wondering if one area of the dice might have significantly more extreme values than another. If so, a subtly biased dice might roll significantly more (or fewer) extreme numbers while still converging to the same average as a fair dice.
+anothermoth It seems to me that this would be impossible to avoid. The 120 has to go somewhere, and with the balancing condition, there have to be small numbers near it. So there will be quite a bit of variance near the 120.
this is brilliant
When you roll a natural 120
thanks for the explanation
It's a d12 with 10 numbers per face. What if they made a d200 out of a d20 with 10 numbers on each face?
How are you supposed to divide the triangular faces into ten transitive parts?
Not quite sure, if this is really "fair" ... it is not a "Plato solid" and therefore the angles between the triangles is not the same. Or Am I missing something here...
Kurt Söser All of the faces are the same as each other, which is all you need for physics to not be biased towards some of them over others.
I thought these dice looked familiar. I was just trying (and failing) to buy at mathartfun.com yesterday, and today I find your channel via a hypoerbolic CodeParade video that was on my Watch Later list for some time. Talk about coincidence.
Oh and as to why I failed to buy... For international orders they don't charge taxes and I know in such cases the import duties and taxes will be sky high :(
The "Where to Buy" link at the bottom of thedicelab.com/ might list a dealer in your country.
I've probably spent £60 on dice and only buy them because I like looking at the shapes and stuff
I want 1 but i live in Spain, do you plan to send these to retailers in europe?
LeonBleak If you follow the “Where to Buy” link at the bottom of thedicelab.com it lists dice suppliers all over the world, including Europe.
if you have a few years to spare, you should find all the possible solutions with perfectly average numbers around every vertex, and see which of all the solutions is the most balanced when splitting the die in half in all the directions that you can split it :D
Or just program it
240 might be fair. It's 120 just doubled!
Though how is one supposed to divide the triangle in half?
I want One but i dont know which color i should buy
I want to know how on earth the numbers were inked!
Using a toothpick? 🤔
2:01 what the hell? why did they d120 suddenly stop?
I Bought Myself One They Are Really Amazing:3
I'm Gonna Eventually Collect All The Colors Hehe:)
uses it for billiards
come out with some more colors. work with chessex for various formulas
Couldn’t someone put flat spots in the crevices between the circles and add numbers there?
Not if you wanted the die to be fair.
isn't this just a disdyakis triacontahedron????
Yeah. But with numbers on it.
Those dice are not practical, they can be rolling forever.
Besides, what kind of game needs a roll of 120 (and even more than 20)?
Show me something that beats a natural 120 and I'll show you *hateful lies!*
Warhammer 40k roll 4 D6 and if all 4 are 6 believe me that is a true miracle.
Getting a yahtzee on the first roll
that's fucking cool dude
put cant i split all the triangle in 2 to get a d240?
Not in such a way that all the resulting faces are the same, so there's no guarantee that it would be fair.
Imagine rolling 4 of those dices in d&d and all of them roll a nat 120
That is one in 120^4
Or, 1 in 2,073,600, I think.
I have all 8 coulors
White, black ,blue ,green ,red ,purple, clear and amber
So now ten in total with malachite and glow in the dark. 👍🏻
$15? That's way too much. great dice btw
Really awesome, just waiting for some fantastically complicated board game to make use of it, heh!
Role play
It is every dice it just depends on what you divide and round up by
A d1000 is just a fucking circle with numbers
I think you possibly could also have a larger fair die if you made it so that some numbers repeated, although maybe you'd need so many to end up at a nice round number that you'd have a sphere.
Aka Munsa musa has return
Round d60 greater than d120 inkrypton
You can't simulate d8 with d60.
but.... what is the purpose of a d120?
Because it's there.
Can it be delivered outside USA?
Yes. Maybe best to email and ask if it's unclear on the website, but Robert can definitely send internationally.
What do the dots mean? Does *89 = 89 or 68?
The dots are to the lower left of a number. So it would be .68 meaning 68. The orientation can also be inferred from the neighboring numbers around a degree 10 corner.
I'm guilty of being here after the numberphile video 😁
The link to buy one is broken.
Thanks for the heads up, I've corrected the link.
Imagine betting on those and getting 120 on all of them 😝 I get 4/5 6 side when throwing normal dice. I'm not lying btw...
That is one in 120^n
I want one but its too expensive😩
There is a 0.00000048% chance of getting a Yahtzee 😬
Wooooow thats what godgodessgoodness could be doing just rollin some dice, reincarnated trials of creation, we could be the result of just a cast of one hand?
Where can I buy this?
+WolfyMcMarmalade www.mathartfun.com/DiceShop.html, but it will be a month or so from now before they are available.
I miss more dice rolling in the video
2:00 you rolled a nat 1 on a fucking d-120 and didn't even comment on it
that's 100 sideds with 20 more sideds
This cannot be correct - "It has 120 faces - it is the largest number, that is possible on a mathematically fair die".
You could do a trapezohedron with any even number of faces. It will just be annoying trying to determine the result if it's a D2000.
You also have to factor in the size of faces. A d50 made using those rolls like a spinning top, especially given the size of each face.
What do you use that numbered ball for? It seems like an exercise in boredom.
I use mine for cryptography.
what, no d100? :P
+therandomdot Your comment got me to thinking about golf balls. A quick Google search found that they have between 300 - 500 dimples (with 336 as a very common number). Why couldn't someone write numbers in the dimples to create d336 or more? Obviously it would roll for a long time and I don't believe most golf balls have symmetry, but could this be done? and would it be fair?
+Timothy Rosenfeld There would be no mathematical argument proving that it would be fair. Without symmetry, there isn't much you can say in general.
Assuming that a golf ball could be made symmetrical (it appears that most actually are), can one achieve a shape with more than 120 "sides" that is fair?
Im getting one
Major fumble @ 2:00.
now d240