Most active commenters

    Industrious Dice

    (mathenchant.wordpress.com)
    136 points 082349872349872 | 16 comments | | HN request time: 1.457s | source | bottom
    1. oatsandsugar ◴[] No.41871895[source]
    This is glorious. What a world we live in.

    How can we make a die that functions as a d6, but has "less pips". An elegant dodecahedron as the solution. Less pips but more sides. Not an economic solution, but I love that these problems are being solved.

    2. pavel_lishin ◴[] No.41872553[source]
    This would be a fun video to send to your DM before showing up with these dice.
    replies(1): >>41872786 #
    3. hinkley ◴[] No.41872783[source]
    That is the nerdiest thing I’ve ever seen and it’s appropriate that he was wearing a top hat while presenting it.

    However, the point of dice is typically not so you can count the numbers but so others can count them. People sitting at a table with you cannot see “up”, they can only see from an angle and so these dice while mathematically cool are completely impractical. Great example of white tower design.

    replies(1): >>41875819 #
    4. hinkley ◴[] No.41872786[source]
    Oh no a boulder fell on your character. 200 points of crush damage.
    5. robinhouston ◴[] No.41874249[source]
    I'm (pleasantly) surprised to see this on the front page of HN!

    If anyone really wants to nerd out on the rhombic triacontahedral die, my proof of uniqueness is at https://s3.boskent.com/rhombic-triacontahedron-die/uniquenes...

    I first discovered the result computationally, using a program written in https://sentient-lang.org/, before finding the ‘human’ proof described in that PDF.

    6. penteract ◴[] No.41874965[source]
    Such a waste of faces :). Give a tetrahedron's faces 0,1,2, and 4 pips and throw it into a v-shaped groove so that it lands on an edge. (This is also a solution to numbering the corners of a cube).
    replies(1): >>41877364 #
    7. mkl ◴[] No.41875819[source]
    The article points this problem out. It's recreational mathematics, not intended to be practical.
    replies(1): >>41878968 #
    8. tromp ◴[] No.41877364[source]
    So you get, with equal probabilities, 0+1, 0+2, 1+2, 0+4, 1+4, or 2+4 = {1,2,3,4,5,6}. Same as 2:07 in the video, but using only 1/3 of the faces. Brilliant!
    9. cjg ◴[] No.41878198[source]
    Or a d6 with the 4, 5 and 6 faces blank. When you roll, if the face isn't blank, that's your number. If it is then flip the die over and subtract that number from 7.

    Only uses 6 pips.

    replies(1): >>41878766 #
    10. ejddhbrbrrnrn ◴[] No.41878766[source]
    Pip position encoding can get that down to 3. One pip on 3 adjacent sides.

    Centre pip = 1, Edge = 2, Corner = 3

    replies(1): >>41878999 #
    11. PaulHoule ◴[] No.41878968{3}[source]
    Would be a feature not a bug for this "game"

    https://en.wikipedia.org/wiki/Razzle_(game)

    12. quirino ◴[] No.41878999{3}[source]
    If we're gonna go that route, you can just put a single pip on a corner and derive all of the other positions from that.
    replies(1): >>41879236 #
    13. gcr ◴[] No.41879236{4}[source]
    Nope, that’s rotationally symmetric around the (pip, center of dice) axis.

    Put the pip on the face, but near the corner.

    replies(2): >>41883594 #>>41889887 #
    14. ejddhbrbrrnrn ◴[] No.41883594{5}[source]
    Or the edge so, the pipped face is 1, then go over that edge for 2, keep going around for 3 and 4. If we consider that "going east" then 5 is on the north pole.
    15. quirino ◴[] No.41889887{5}[source]
    That's what I mean by "pip on the corner" :P

    The comment above mine was using this terminology to refer to the corner of a face.