Bilunabirotunda (EntityTopic, 14)
From Hi.gher. Space
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<blockquote>total edge length = 26''l''<br> | <blockquote>total edge length = 26''l''<br> | ||
surface area = (2 + 2√3 + √(25+10√5)) {{DotHV}}<br> | surface area = (2 + 2√3 + √(25+10√5)) {{DotHV}}<br> | ||
| - | volume = | + | volume = ({{Over|2φ<sup>2</sup>|3}} + {{Over|5φ|6}}) {{DotHV|3}}</blockquote> |
{{Trishapes}} | {{Trishapes}} | ||
Revision as of 22:25, 5 February 2014
The bilunabirotunda is the 91st Johnson solid, J91. It suddenly became important when the castellated rhodoperihedral prism was discovered.
Equations
- The hypervolumes of a bilunabirotunda with side length l are given by:
total edge length = 26l
surface area = (2 + 2√3 + √(25+10√5)) · l2
volume = (2φ2∕3 + 5φ∕6) · l3
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
