Pentagon (EntityTopic, 12)

From Hi.gher. Space

The pentagon can be seen as the two-dimensional analog to the dodecahedron in 3D and the cosmochoron in 4D. It is also the lowest-dimensional member of the ursatopes, with a (trivial) digonal base.

Equations

• The hypervolumes of a pentagon with side length l are given by:

total edge length = 5l
surface area = ¹∕₄ · √(25+10√5) · l²

Use

Pentagonal faces are found in these trishapes on FGwiki:

• Dodecahedron (12×, 100%)
• Icosidodecahedron (12×, 38%)
• Icosahedral truncate (12×, 38%)
• Dodecahedral snub (12×, 13%)