I'm on the cover of a Scholastic Magazine!
HTML-код
- Опубликовано: 15 фев 2019
- Can't believe I'm on the cover of a Scholastic Science World magazine... I used to read these in school when I was a kid!! Mind blown 🤯 Here are behind the scenes of how ShanesDominoez and I built this massive domino structure that traps me inside 😂 Can anyone figure out that math problem??
Watch the final video here! • TRAPPED IN A DOMINO ST...
✨Visit the H5 Domino Community Hub and get involved! ➡ hevesh5.com/h5dominocommunity (find domino clubs, be featured on this channel, and read my exclusive monthly newsletter here!)
Hey! I'm Lily/Hevesh5 and I want to welcome you to the #H5DominoCommunity! This is a channel dedicated to the most enthusiastic domino fans around the world. It is a place where the inner domino community can connect, make friends with other builders, and share their passion for dominoes together! Be sure to subscribe for new videos every week! :) bit.ly/jointheH5DC
LET'S BE SOCIAL! You can also find me here 😉
🔹INSTAGRAM🔹 / hevesh5 (for aesthetic pics of dominoes + random stories :D)
🔹TWITTER🔹 / hevesh5 (fastest way to connect with me!)
🔹FACEBOOK🔹 / hevesh5 (for more domino video content!)
SUBSCRIBE TO MY OTHER CHANNELS!
🔸Hevesh5 (main channel): / hevesh5
🔸BehindThe5 (personal channel): / behindthe5
📧 For all non-business related emails: H5dominocommunity@gmail.com
📧 For business inquiries only please: Hevesh5@gmail.com
🎵 MUSIC: "Fortaleza" from RUclips's Audio Library 
Развлечения
A bit about the math behind this…
Using the table at 1:23, I was able to take its data and do some calculations.
With each new ring added, you decreased the amount of layers by 2, and added 4 dominoes to each side of the ring's base. Since the rings had 4 sides, you added a total of 16 dominoes to the ring's base with each 2 layer decrease. This can be simplified down to an addition of 8 dominoes for each 1 layer decrease.
By these deductions, I created the formula *y = (17 - x)(84 + 8x)*, with the 17 and 84 coming from the amount of layers and dominoes in the base layer of the 1st ring, as shown in the table.
By distributing, this formula becomes y = -8x^2 + 52x + 1428, and by converting this quadratic equation into its vertex form, it becomes *y = -8(x - 3.25)^2 + 1512.5*.
This equation's vertex lies at (3.25, 1512.5), showing that a layer decrease of 3.25 (or 13.75 layers in total), creates the ring with the most dominoes, which would have 1512.5 dominoes in total.
Of course, you can't have a quarter of a layer, or half of a domino, so by rounding up, the ring with the most dominoes would have a layer decrease of 3 (or 14 layers in total) and 1512 dominoes in total.
I don't know how to work with vertex form, so I came up with a simpler way that works with smaller numbers. I expressed everything in terms of y.
1. Base = 4y + 4
2. Layers = (54 - y)/2
3. Dominoes = Base * Layers = -2y^2 + 106y + 108
4. Derivative = -4y + 106
5. Set the derivative equal to 0. Since there is already a negative term, move it to the right:
-4y + 106 = 0
106 = 4y
26.5 = y
Substituting into Step 3 produces 1,512.5 dominoes like you said. Substituting into Step 2 produces 13.75 layers like you said.
..... i don't understand maths sorry
You know as much as I hate math you made me love it more
Omg you are too smart good job though
what the heck is this math? It's so crazy!!!
About your math problem, the thing is the amount of dominoes is given by the formula height * length * width
Since with every layer, the height decreases but the length and the width increase, if you call amounts of a particular square h, l and w you get the formula
dominoes (n) = (h - n) * (l + n) * (w + n)
= hlw + (hl + hw - lw) * n + (h - l - w) * n^2 - n^3
With n being the amount of squares between the rankyou originally chose and the one you wish to know the amount of dominoes (positive if going outwards, negative if going inwards)
When you go outwards, at some point you reach n=h which lets the domino amount equal 0, and when you go inwards you get n=w (or l) which also explains it.
Why the amount goes up and down in between us because the derivative of this function is a quadratic function as you pointed in the video, namely
dominoes' (n) = hl + hw - lw + 2 (h - l - w) * n - 3 * n^2
which indeed goes up and down, and you can find its maximum at n = (w + l - h) / (hl + hw - lw)
I hope that was understandable and helps, have a nice day !
Im trying to make sense of this, and it seems to connect in my head. I'm glad it ended up being a quadratic!
My little tiny 5th grader brain just melted into a blob of domino goo. Who knew my brain was made out of dominoes. That explains why I suck at math. Am I supposed to be good at math to be a good domino builder?
Are you a teacher? How are you so smart
amazing. I think I'm following and this indeed seems to explain it. thanks for breaking this down!
@@Epictastick think of it as being good at cooking. If you get to know physics, chemistry, and biology, you end up with a good understanding what happens to your food when you cook it, but, you're surelt aware of many people with poor schooling who are great cooks (e.g. my grandma was illiterate but was an awesome cook). It's possible to achieve great results by learning what works and what doesn't even if you don't fully comprehend the why.
i really admire your work hard
I read this in my 6th grade class and I loved it
Melissa Granger - Thank you for being a teacher ❤
regarding the math problem. The number of dominoes in a ring is the perimeter of the rind times the height each ing is 2 dominoes sorter and its perimeter increases by 16 as 4 dominoes are added to each side. So if n is the ring number from your spreadsheet perimeter = 68 + 16n and height = 19 - 2n so total dominoes = (68 + 16n)(19 - 2n) = 1292 + 168n - 32n^2. This has a maximum between 2 and 3 rings.
Michales response seems very concise and correct, but a smaller example might be to understand for a some people, and I think it will be rather clear that you can generalize from this example. Assume you did make a perfect square for each layer.
The easiest way to explain what happens is that number of dominoes per layer of a given perimeter is basically proportional to the width of the square (you have four domino “lines” with the width as their length, that connect to form a square, if we simplify a bit). This number is multiplied by the height to get the total number of dominoes. What is important here is that the total number of dominoes is proportional to the width*height .
Assume an innermost layer that is a structure with height 20 dominoes and width 4 dominoes. Each perimeter layer will (simplified) contain in the order of 4*4 dominoes (since you connect four domino lines to form a square). This structure will thus contain in the order of 20*4*4 dominoes. The next layer will have a height of 18 dominoes, and a width of 6 dominoes. Thus each perimeter layer will contain in the order of 6*4 dominoes (simplified), and the height will be 18 dominoes. This structure will thus have in the order of 18*6*4 dominoes. Clearly the increase of the width (going from 4 to 6) is more important than the decrease of the height (going from 20 to 18).
The number of dominoes in the perimeter increases by a large percentage (33 %), while the height decreases by a small percentage (10 %). This will not always be the case. In the other extreme you have the outermost layer where the height (in this example) will decrease from height = four to height = two (a decrease of 50 %). The width of the last layer will increase from 20 dominoes to 22 dominoes (a 10 % increase).
Thus, in conclusion, you were a bit “lucky” to hit the sweet spot where the trend reverses.
In technical terms you managed to hit the spot where the derivative of Michaels equation (168 - 64n) changes from plus to minus (the derivative equals zero for around n = 2.6, and that is the functions maximum).
On a side note I find it a bit strange that you don't see that Hugo Bs formula is calculating a volume, which is not valid for this problem. You do not have a height * length * width that you fill with dominoes. You have a perimeter * height that you fill with dominoes. This directly gives rise to a quadratic equation, just as is the case in Michaels answer above.
@@Lillarion Wooops, that's true I didn't actually calculate the right thing... Thanks for pointing that out, I guess I should have thought a bit more before typing
Minute 11:58
Hevesh: OK we are almost done this.
(done with this)
Shanes still has his mythical trousers ! 😂😂😂
I read the magazine from online school work
Love the video! 😃😃
Im so obsessed with dominos to
Really an awesome job!
You will always amaze me
so cool.
I added your video to my Playlist
Wow congrats 👏 big achievement love your hard work
I read that at school the other day and that's how I found you
I've read that magazine before!
Way to go cute little kid !!! That is *_EXCELLENT_*_ _*_!!!_*
Congratulations sis.... 👌🏻👌🏻👌🏻
We read this magazine in science class everybody hated me that day because i was screaming
u are my dream ytuber
I love you for this
@@H5dominocommunity i do domino videos too! they are on my RUclips Channel. i sent you one for your domino deep dive
I saw your magazine at my school
I see flannel pants and I know its ShanesDominoez
I have the same flannel pants
he’s the PJ man
@@H5dominocommunity I am the same lol
Congratulations you're awesome!!:) Keep up the good work and video's
So awesome
I'm writing a paper on you for public speaking! And I have to memorize it by tonight.. But it's the only paper I have ever had fun writing!
omg what this feels so weird but I am honored! best of luck!! ☺️
@@H5dominocommunity thanks!
Look at my boy Shanesdominoez, all grown up :,)
Even though each additional row/wall is 2 layers shorter they are longer/wider so should either balance out or each additional row/wall uses more dominoes then the previous one.
My head with all this map ugh
So interesting.
Dude i swear my school better give me this magazine.
Did they
I read that magazine and did a worksheet about it! Some people said I look like you 😊
Congrats Lily.
good job it's cool
I was like 😵😵😵 when he said the math
cool!
What a great production again: you really merit your success!
wow
I like the original video
Great stuff!
You should make a cake named helio crumbs
You ki fit
Pi mb g
H5 Your work is very, very amazing
WOW..
Came for Shane, stayed for the math. And also Shane.
Ok, the first one had 333 comments and this one has 100?
Wooooooo een tore
the equation is great but i don't understand 😋😋😋😋😋😋😋
Nice! Good job, too!
roses are red violets are blue i'm so glad that i've known you
neat
Hi
Congratulations!
İ have 278 dominoes total
😃👍🏻👊🏻
My son and i love your vids its our saturday night routine with pizza ☺☺☺ , hugs from ireland .
Is 100+60 is 160
Hi Turkish
lol
Yesterday I did a presentation on that magazine
That was extremely satisfying.
Good job! Though, as you get older, I’d imagine sitting like that will hurt your knees and back! Haha.
This is how I found your channel
Sup!! Guys
Hi
Πολύ ωραίο το βίντεο
130th
He's cute.
I SAW THAT MAGAZINE IN MY SCIENCE ROOM
we had to do a hw on it
I just read that magazine a few days ago.
Even when you're trying to knock dominoes down, you still manage to make one stand up haha
hahaha funny how that works 😂
@@H5dominocommunitythe dominoes queen has spoken
I’ve always wanted to be on a scholastic
I do this alot, watch hevesh5 when im building doinoes cor a vid (dont judge me) very cool vid btw
Your basic explanation at the start was spot on. The outer wide ring with 0 height has 0 dominoes, and your inner tall tower with 0 width has 0 dominoes. So you have to have a maximum somewhere between those 0's.
I’m reading this one in class
...
I always thought it was hee-vesh 5
arent u that one girl that was that one guys first subscriber or smthn
First
WE DONT CARE
@@dezcubing5844 Lily tweeted that she doesn't like when people say "First."
u made one domino stand up, u are excited about that. Yet you have made 15, 000 dominoes stand in the triple spiral... and you aren't excited about that?! XD
You don't have any "amount" of dominos. You have a "number" of dominos. Amount is only used for things you can't count. An amount of sugar, a number of dominos.
I wish I was in ninth grade so I would be able to help😢😢😢
Congratulations!