regular tetrahedron | cube | regular octahedron | regular dodecahedron | regular icosahedron

1-uniform dual polyhedron | 1-uniform polyhedron | 1-Zalgaller polyhedron | 3-canonical pyramid | 3-pyramid | 3-simplex | tetrahedron | three-simplex | triangular pyramid

3-trapezohedron | 4-prism | 5-uniform dual polyhedron | 6-uniform polyhedron | hexahedron | regular cuboid | square prism

3-antiprism | 4-canonical dipyramid | 4-dipyramid | 5-uniform polyhedron | 6-uniform dual polyhedron | canonical 4-dipyramid | square dipyramid | triangular antiprism

dodecahedron | duodecahedron

icosahedron

| vertices | edges | faces regular tetrahedron | 4 | 6 | 4 (4 triangles) cube | 8 | 12 | 6 (6 quadrilaterals) regular octahedron | 6 | 12 | 8 (8 triangles) regular dodecahedron | 20 | 30 | 12 (12 pentagons) regular icosahedron | 12 | 30 | 20 (20 triangles)

1 (6 edges)

1 (12 edges)

1 (12 edges)

1 (30 edges)

1 (30 edges)

| volume regular tetrahedron | 1/(6 sqrt(2)) cube | 1 regular octahedron | sqrt(2)/3 regular dodecahedron | 1/4 (15 + 7 sqrt(5)) regular icosahedron | (5 ϕ^2)/6 | surface area regular tetrahedron | sqrt(3) cube | 6 regular octahedron | 2 sqrt(3) regular dodecahedron | 3 sqrt(5 (5 + 2 sqrt(5))) regular icosahedron | 5 sqrt(3) | circumradius regular tetrahedron | sqrt(3/2)/2 cube | sqrt(3)/2 regular octahedron | 1/sqrt(2) regular dodecahedron | 1/4 (sqrt(3) + sqrt(15)) regular icosahedron | 1/4 sqrt(10 + 2 sqrt(5)) | midradius regular tetrahedron | 1/(2 sqrt(2)) cube | 1/sqrt(2) regular octahedron | 1/2 regular dodecahedron | 1/4 (3 + sqrt(5)) regular icosahedron | ϕ/2 | inradius regular tetrahedron | 1/(2 sqrt(6)) cube | 1/2 regular octahedron | 1/sqrt(6) regular dodecahedron | 1/20 sqrt(250 + 110 sqrt(5)) regular icosahedron | 1/12 (3 sqrt(3) + sqrt(15)) (assuming unit edge lengths)

| skeleton graph name regular tetrahedron | tetrahedral graph cube | cubical graph regular octahedron | octahedral graph regular dodecahedron | dodecahedral graph regular icosahedron | icosahedral graph

| dual name regular tetrahedron | tetrahedron cube | regular octahedron regular octahedron | cube regular dodecahedron | regular icosahedron regular icosahedron | regular dodecahedron

| dual skeleton name regular tetrahedron | tetrahedral graph cube | octahedral graph regular octahedron | cubical graph regular dodecahedron | icosahedral graph regular icosahedron | dodecahedral graph

amphichiral | canonical | convex | equilateral | isohedron | Platonic | Platonic dual | rigid | simple | uniform | uniform dual