Icosahedron (EntityTopic, 12)

From Hi.gher. Space

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Revision as of 20:13, 17 August 2007

Template:Shape

Geometry

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