Icosahedral truncate (EntityTopic, 11)

From Hi.gher. Space

Revision as of 00:05, 23 September 2007 by Keiji (Talk | contribs)

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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