Dodecahedron (EntityTopic, 12)

From Higher Dimensions Database

Equations

  • The hypervolumes of a dodecahedron with side length l are given by:
total edge length = 30l
surface area = 3√(25 + 10√5) · l2
volume = (15 + 7√5)4 · l3

Incidence matrix

Dual: icosahedron

#TXIDVaEa5aTypeName
0 Va = point ;
1 Ea 2 = digon ;
2 5a 55 = pentagon ;
3 C1a 203012 = dodecahedron ;

Usage as facets


Notable Trishapes
Regular: tetrahedroncubeoctahedrondodecahedronicosahedron
Direct truncates: tetrahedral truncatecubic truncateoctahedral truncatedodecahedral truncateicosahedral truncate
Mesotruncates: stauromesohedronstauroperihedronstauropantohedronrhodomesohedronrhodoperihedronrhodopantohedron
Snubs: snub staurohedronsnub rhodohedron
Curved: spheretoruscylinderconefrustumcrind