Icosahedral truncate (EntityTopic, 11)

From Higher Dimensions Database

Revision as of 21:59, 12 March 2011 by Hayate (Talk | contribs)


Geometry

Equations

  • Variables:
l ⇒ length of edges of the truncated icosahedron
total edge length = 90l
surface area = 3(32-110+52-1(5+52-12)2-1)l2
volume = (125+52-143)l34-1




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