#regular octahedron

[best-shapes]

Regular-ish Convex Polyhedra Bracket — Round 3

Which shape is better?

Regular Octahedron

Regular Icosahedron

Voting ended onJan 4, 2024

Propaganda

Regular Octahedron:

Platonic Solid

Regular

Dual of the Cube

It has 8 regular triangular faces, 12 edges, and 6 vertices.

Image Credit: Tumblr

Don't forget that there's a game called OCTAHEDRON!! With an equally banger soundtrack!! Also the protagonist is octahedron-headed btw. They're a silly little (tm) guy.

Regular Icosahedron:

Platonic Solid

Regular

Dual of the Regular Dodecahedron

It has 20 regular triangular faces, 30 edges, and 12 vertices.

Image Credit: @etirabys

[best-shapes]

Regular-ish Convex Polyhedra Bracket — Round 2

Which shape is better?

Regular Octahedron

Pentagonal Hexecontahedron

Voting ended onDec 28, 2023

Propaganda

Regular Octahedron:

Platonic Solid

Regular

Dual of the Cube

It has 8 regular triangular faces, 12 edges, and 6 vertices.

Image Credit: Tumblr

Don't forget that there's a game called OCTAHEDRON!! With an equally banger soundtrack!! Also the protagonist is octahedron-headed btw. They're a silly little (tm) guy.

Pentagonal Hexecontahedron:

Catalan Solid

Dual of the Snub Dodecahedron

It has 60 irregular pentagonal faces, 150 edges, and 92 vertices of two types.

Chiral so it has two forms that are mirror images of each other.

It is the Catalan solid with the most vertices.

Image Credit: Cyp

[best-shapes]

Regular-ish Convex Polyhedra Bracket — Round 1

Which shape is better?

Regular Octahedron

Deltoidal Icositetrahedron

Voting ended onDec 20, 2023

Propaganda

Regular Octahedron:

Platonic Solid

Regular

Dual of the Cube

It has 8 regular triangular faces, 12 edges, and 6 vertices.

Image Credit: Cyp

Deltoidal Icositetrahedron:

Also called the Trapezoidal Icositetrahedron, Tetragonal Icosikaitetrahedron, Tetragonal Trisoctahedron, Strombic Icositetrahedron

Catalan Solid

Dual of the Rhombicuboctahedron

It has 24 deltoidal (kite) faces, 48 edges, and 26 vertices of three types.

Image Credit: Cyp