I never realized they had 20 sides! Or that one company owned the trademark. Also surprised that there is no deeper meaning to choosing the 8- ball, they just partnered with billiards company.

  • Bassman1805@lemmy.world
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    14 days ago

    Each response is on an equilateral triangle face, so the die inside must be either a tetrahedron, octahedron, or a icosahedron (d4, d8 or d20). There are no other regular polyhedrons composed of equilateral triangles.

    Doesn’t take too many attempts to see more than 4 answers, so it can’t be the tetrahedron. It might take a large number of attempts to get the 9th unique response, but if you look carefully you can sort of see the adjacent faces while the die settles. Not well enough to read, but well enough to get an idea of the angle between the faces. Too shallow to be an octahedron, so it must be a dodecahedron.

    • Scubus@sh.itjust.works
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      14 days ago

      I feel like I saw a d100 composed of equilateral triangles. Is there an algorithm that determines whether a shape can be composed of equalateral triangles? I’d ask for a proof but I fucking hate proofs.

      • Bassman1805@lemmy.world
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        14 days ago

        There are only 5 polyhedrons that can be made from regular polygons. They’re called the Platonic Solids.

        Tetrahedron (triangle), cube (square), octahedron (triangle), dodecahedron (pentagon), icosahedron (triangle)