The Cube Made Interesting |
Contents
The planes of symmetry and axes of sym | 6 |
The group of rotations of the cube | 21 |
Sections of the cube | 37 |
Copyright | |
4 other sections not shown
Common terms and phrases
A₁ axes of symmetry B₁ bigger cube black faces blue C₁ canal centre of symmetry coloured cubes colours to choose common vertex congruent with K₁ conjugate octahedron cube fits cube III cube K₁ cube VII cut the cube D₁ denoted diagonal plane different colour dodecahedron edge of intersection Euler theorem Face Cube four faces gn b gy gn gy green gy gn gy VII icosahedron joining the centres meshes neighbouring faces non-congruent blocks number of faces number of vertices opposite faces original position P₁ and P₂ parallelogram pentagon perpendicular planes of symmetry possible prisms pyramids R₁ R₂ regular hexagon regular octahedron regular polyhedron relative to plane rotation P₁ rotation through 90 semiregular semiregular polyhedron shown in Fig side simple polyhedron simply connected single rotation six square faces small cubes small faces superposition of rotations surface symmetric transformation relative tetrahedron triangles W r gn white faces yellow