first dodecahedron stellation | second dodecahedron stellation | third dodecahedron stellation

urchin

| vertices | edges | faces first dodecahedron stellation | 32 | 90 | 60 (60 triangles) second dodecahedron stellation | 32 | 90 | 60 (60 triangles) third dodecahedron stellation | 32 | 90 | 60 (60 triangles)

1 (30 edges) | 1/2 (1 + sqrt(5)) (60 edges)

1 (60 edges) | 1/2 (1 + sqrt(5)) (30 edges)

1 (30 edges) | 1/2 (1 + sqrt(5)) (60 edges)

| volume first dodecahedron stellation | 5/4 (7 + 3 sqrt(5)) second dodecahedron stellation | 5/4 (3 + sqrt(5)) third dodecahedron stellation | 5/4 (3 + sqrt(5)) | surface area first dodecahedron stellation | 15 sqrt(5 + 2 sqrt(5)) second dodecahedron stellation | 15 sqrt(1/2 (5 + sqrt(5))) third dodecahedron stellation | 15 sqrt(5 + 2 sqrt(5)) | midradius first dodecahedron stellation | 1/4 (3 + sqrt(5)) third dodecahedron stellation | ϕ/2 | inradius first dodecahedron stellation | sqrt(5/8 + 11/(8 sqrt(5))) second dodecahedron stellation | sqrt(1/4 + 1/(2 sqrt(5))) third dodecahedron stellation | 1/sqrt(10 - 2 sqrt(5))

| skeleton graph name first dodecahedron stellation | pentakis dodecahedral graph second dodecahedron stellation | triakis icosahedral graph third dodecahedron stellation | triakis icosahedral graph

| dual skeleton name first dodecahedron stellation | truncated icosahedral graph second dodecahedron stellation | truncated dodecahedral graph third dodecahedron stellation | truncated dodecahedral graph

| first dodecahedron stellation | second dodecahedron stellation | third dodecahedron stellation symmetry group | icosahedral group | icosahedral group | icosahedral group

amphichiral | concave | rigid | simple | stellation