Icosahedron (EntityTopic, 12)

From Hi.gher. Space

Revision as of 17:45, 29 October 2008 by Hayate (Talk | contribs)


Equations

  • Assumption: Icosahedron is centered at the origin.
  • Variables:
l ⇒ length of edges of the icosahedron
total edge length = 30l
surface area = 5sqrt(3)l2
volume = 5l3(3+sqrt(5))12-1
Unknown




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