Dodecahedron (EntityTopic, 12)
From Hi.gher. Space
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== Equations == | == Equations == | ||
| - | + | *The [[hypervolume]]s of a dodecahedron with side length ''l'' are given by: | |
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| - | *The [[hypervolume]]s of a dodecahedron are given by: | + | |
<blockquote>total edge length = 30''l''<br> | <blockquote>total edge length = 30''l''<br> | ||
surface area = 3√(25 + 10√5) {{DotHV}}<br> | surface area = 3√(25 + 10√5) {{DotHV}}<br> | ||
volume = {{Over|(15 + 7√5)|4}} {{DotHV|3}}</blockquote> | volume = {{Over|(15 + 7√5)|4}} {{DotHV|3}}</blockquote> | ||
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<br clear="all"><br> | <br clear="all"><br> | ||
{{Trishapes}} | {{Trishapes}} | ||
Revision as of 18:40, 25 August 2012
Equations
- The hypervolumes of a dodecahedron with side length l are given by:
total edge length = 30l
surface area = 3√(25 + 10√5) · l2
volume = (15 + 7√5)∕4 · 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 |
