Assertion: octahedron's face | /r/HasAspect | same color
Facets:
Source sentences:
text: To color the icosahedron, such that no two adjacent faces have the same color, requires at least 3 colors.
text: : if one face has a different color (or two opposite faces have colors different from each other and from the other four), the cube has 8 isometries, like a square has in 2D. D 2 h , , (*222): if opposite faces have the same colors, different for each set of two, the cube has 8 isometries, like a cuboid.
text: : if two opposite faces have the same color, and all other faces have one different color, the cube has 16 isometries, like a square prism (square box).
text: : if two opposite faces have the same color, and all other faces have one different color, the cube has 16 isometries, like a square prism (square box).
text: C 2 v , , (*22): if two adjacent faces have the same color, and all other faces have one different color, the cube has 4 isometries.
text: if two opposite faces have the same color, and two other opposite faces also, and the last two have different colors, the cube has 4 isometries, like a piece of blank paper with a shape with a mirror symmetry.
text: if two opposite faces have the same color, and all other faces have different colors, the cube has 2 isometries, like an asymmetric piece of blank paper.
text: To color the cube so that no two adjacent faces have the same color, one would need at least three colors.
text: , , (*222): if opposite faces have the same colors, different for each set of two, the cube has 8 isometries, like a cuboid.