Polygons and their names

Oberton

First Post
Just for fun:

I think I fixed the 3-d issue... Let me know...


NAMES OF THE POLYGONS ( 3-d PolyHedron?)

4 tetrahedron
5 PENTAHEDRON
6 HEXAHEDRON
7 SEPTAHEDRON
8 OCTAHEDRON
9 ENNEAHEDRON
10 DECAHEDRON
11 HENDECAHEDRON
12 DODECAHEDRON
13 TRIDECAHEDRON
14 QUADECAHEDRON
15 PENDECAHEDRON
16 HEXDECAHEDRON
17 SEPTDECAHEDRON
18 OCTDECAHEDRON
19 ENNEADECAHEDRON
20 ICOSAHEDRON
21 ICOSITEMONOHEDRON
22 ICOSITEDIHEDRON
23 ICOSITETRIHEDRON
24 ICOSITETRAHEDRON
25 ICOSITEPENTAHEDRON
26 ICOSITEHEXAHEDRON
27 ICOSITESEPTAHEDRON
28 ICOSITEOCTAHEDRON
29 ICOSITENONAHEDRON
30 TRIACONTAHEDRON
31 TRICONTAMONAHEDRON
32 TRICONTADIHEDRON
33 TRICONTATRIHEDRON
34 TRICONTATETRAHEDRON
35 TRICONTAPENTAHEDRON
36 TRICONTAHEXAHEDRON
37 TRICONTASEPTAHEDRON
38 TRICONTAOCTAHEDRON
39 TRICONTAENNEAHEDRON
40 TETRACONTAHEDRON
41 TETRACONTAMONOHEDRON
42 TETRACONTADIHEDRON
43 TETRACONTATRIAHEDRON
44 TETRACONTATETRAHEDRON
45 TETRACONTAPENTAHEDRON
46 TETRACONTAHEXAHEDRON
47 TETRACONTASEPTAHEDRON
48 TETRACONTAOCTAHEDRON
49 TETRACONTAENNEAHEDRON
50 PENTACONTAHEDRON
 
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Polygon =/= Polyhedron

Those are indeed the names of the polygons, closed plane figures bounded by straight lines.

They are not the names of the polyhedrons, solids formed by plane faces. Dice are three-dimensional, and as such are polyhedrons.

Since we're only talking about regular polyhedrons (those which have equal-sized faces and angles), you can get through the first ones:

4-sided = tetrahedron
6-sided = cube (or hexahedron, I guess)

In the rest of the cases just replace "GON" with "HEDRON" to get the correct names.
 
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How the heck could you roll a polygon? It's flat, so it would act just like a d2.

I suggest rolling polyhedrons, they're much better at providing a variety of random number ranges. The platonic solids, if memory serves, are tetrahedron (d4), cube/hexahedron (d6), octahedron (d8), dodecahedron (d12), and icosahedron (d20); the d10 isn't platonic but is called, predictably enough, a decahedron.
 
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CRGreathouse said:
the d10 isn't platonic but is called, predictably enough, a decahedron.

Since you brought it up, we might note that the platonic solids are provably the only possible regular polyhedra. That is, all of their faces and vertex angles are congruent, with all edges equal in length. Which is why you need the irregularly-shaped decahedron if you want to make a d10 with unique faces (as opposed to an icosahedron with 2 instances of each digit on different faces, which is an old-school d10).

As a bit of side trivia, they fall into three distinct classes of rotational symmetry (tetrahedron<->tetrahedron, cube<->octahedron, dodecahedron<->icosahedron) where within each class the number of faces in one shape is the number of vertices in the other. You can swap from one shape from the other by mapping the coordinates of face centers to vertices and vice versa.
 




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