27-Zalgaller polyhedron | 29-uniform polyhedron | dodecahedron simum | snub icosidodecahedron

vertices | 60 edges | 150 faces | 92 (80 triangles, 12 pentagons)

1 (150 edges)

root of 2176782336 x^12 - 3195335070720 x^10 + 162223191936000 x^8 + 1030526618040000 x^6 + 6152923794150000 x^4 - 182124351550575000 x^2 + 187445810737515625 near x = 37.6166≈37.6166

sqrt(15 (95 + 6 sqrt(5) + 8 sqrt(75 + 30 sqrt(5))))≈55.2867

root of 4096 x^12 - 27648 x^10 + 47104 x^8 - 35776 x^6 + 13872 x^4 - 2696 x^2 + 209 near x = 2.15584≈2.15584

root of 4096 x^12 - 21504 x^10 + 16384 x^8 - 4672 x^6 + 624 x^4 - 40 x^2 + 1 near x = 2.09705≈2.09705

(assuming unit edge length)

s{3 5}

|2 3 4

snub dodecahedral graph

pentagonal hexecontahedron

pentagonal hexecontahedral graph

point group I

Archimedean | canonical | chiral | convex | equilateral | rigid | simple | uniform | Zalgaller

Archimedes