14400-sided die
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- Опубликовано: 13 июл 2021
- We can subdivide every face of a dodecahedron into 10 triangles, making a 120-sided fair die (The Dice Lab sells dice like this).
Here, every 3-dimensional face of the 120-cell is subdivided into 120 tetrahedra, as explained above. Thus, we obtain a four-dimensional 14400-sided die.
The boundary (3-dimensional surface) is three-dimensional, so we can have the "inner view" of the die. Here the inner view is approximated using spherical geometry. The opposite faces sum to 14401; because of the weirdness of spherical geometry, they are seen in the same spot. (1/2)
Here is a similar scene without the approximation: / 1415331248785006593 (people think there are compression artifacts -- not sure whether they see actual compression artifacts or think that the weird effects caused by the Euclidean approximation of spherical geometry are compression artifacts!) or in HyperRogue 11.2d with commandline parameters: "-noplayer -geo 120c -coxeter 7 -canvas-random 5 -ray-do -ray-cells 99999 ray_fixed_map=1 -gfake-euc" - Наука
Me calculating how much wood I need to make a ladder in Minecraft
1 log is enough to craft 2 ladders, with 2 sticks left over
@@spiritusterra5688 thamks
You can only fit 576 oak logs or 2304 oak planks in a crafting table
How can you fit thousands of oak planks or logs in a crafting table?
@@Rainbowgame649 but my game is modded
A bug I found in Hyperrogue:
You can give a tortoise its baby and take it away, repeat the process to farm as many baby tortoises as you want. I found this bug in tge puzzle mode, I don't know if it works in the normal game too.
Also, if you read this, it would be really nice to have the option to turn friendly fire for multiplayer off and maybe also add the optiob to increase/ decrease the game speed for the shmup mode.
I know this has absolutely nothing to do with the video, but I don't know a better way to give feedback for hyperrogue.
Thanks for the feedback! The preferred way is to post in the #bugs / #suggestions channel in the HyperRogue discord server ( discord.gg/8G44XkR ), e-mail ( zeno at attnam.com ) works too.
Number confetti!!
Yeah, cool, but can you make a 14401-sided die?
Why is there darkness? Won't every direction eventually hit a number so the image would be a pastel mess?
I guess you are fading things beyond a certain distance.
In spherical geometry, light rays travel in great circles, so if they don't hit anything in distance up to 2π, they won't hit anything ever. Or rather, they will hit the back of your head (I have posted another video about this).
Anyway, the space is filled with dark fog (that's why numbers on the antipode are darker than numbers close).
Oh my god this is beautiful
could you do a Dice-sseract (a Tesseract dice) ?
Roll for initiative
someone roll this and lmk what number it gets
it landed on 3573
42069, we in the bussiness call this "nice"
@@AMan-xz7tx its a 14400 die the number is impossible lol
nice
no need to bother making 4D physics simulation. just pick random number between 1 and 14400
You win by rolling 6 or higher
The die is a 4D ball (hypersphere)?
is a 4-polytope with 14400 sides i think
@@hotwolfmommy that is topologically equivalent to...
What shape?
Its a subdivision of a 4-dimensional 120-cell
Wtf is this?
the "hypersurface" (volume) of the hypersphere