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"
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Комментарии • 37

  • @vehicleboi5598
    @vehicleboi5598 2 года назад +97

    Me calculating how much wood I need to make a ladder in Minecraft

    • @spiritusterra5688
      @spiritusterra5688 2 года назад +9

      1 log is enough to craft 2 ladders, with 2 sticks left over

    • @vehicleboi5598
      @vehicleboi5598 2 года назад +6

      @@spiritusterra5688 thamks

    • @Rainbowgame649
      @Rainbowgame649 Год назад +2

      You can only fit 576 oak logs or 2304 oak planks in a crafting table

    • @Rainbowgame649
      @Rainbowgame649 Год назад +2

      How can you fit thousands of oak planks or logs in a crafting table?

    • @vehicleboi5598
      @vehicleboi5598 Год назад +3

      @@Rainbowgame649 but my game is modded

  • @luiswi
    @luiswi 2 года назад +19

    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.

    • @ZenoRogue
      @ZenoRogue  2 года назад +11

      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.

  • @katakana1
    @katakana1 2 года назад +12

    Number confetti!!

  • @YoYo-dq6on
    @YoYo-dq6on 2 года назад +13

    Yeah, cool, but can you make a 14401-sided die?

  • @SimonClarkstone
    @SimonClarkstone 2 года назад +15

    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.

    • @ZenoRogue
      @ZenoRogue  2 года назад +25

      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).

  • @roccoleader279
    @roccoleader279 2 года назад +3

    Oh my god this is beautiful

  • @Fine_Mouche
    @Fine_Mouche Год назад +2

    could you do a Dice-sseract (a Tesseract dice) ?

  • @ratfuk9340
    @ratfuk9340 Год назад +1

    Roll for initiative

  • @Patashu
    @Patashu 2 года назад +9

    someone roll this and lmk what number it gets

    • @miners_haven
      @miners_haven 2 года назад +7

      it landed on 3573

    • @AMan-xz7tx
      @AMan-xz7tx 2 года назад +2

      42069, we in the bussiness call this "nice"

    • @lolzsicka9454
      @lolzsicka9454 2 года назад +5

      @@AMan-xz7tx its a 14400 die the number is impossible lol

    • @hotwolfmommy
      @hotwolfmommy 2 года назад

      nice

    • @kaidatong1704
      @kaidatong1704 2 года назад

      no need to bother making 4D physics simulation. just pick random number between 1 and 14400

  • @EvilStreaks
    @EvilStreaks Год назад

    You win by rolling 6 or higher

  • @elietheprof5678
    @elietheprof5678 2 года назад +7

    The die is a 4D ball (hypersphere)?

    • @hotwolfmommy
      @hotwolfmommy 2 года назад +6

      is a 4-polytope with 14400 sides i think

    • @kapzduke
      @kapzduke 14 дней назад

      @@hotwolfmommy that is topologically equivalent to...

  • @lukatolstov5598
    @lukatolstov5598 Год назад +1

    What shape?

  • @TechWithTom_
    @TechWithTom_ 2 года назад +2

    Wtf is this?

    • @user-si7ep1lz7z
      @user-si7ep1lz7z Год назад

      the "hypersurface" (volume) of the hypersphere