Dodecahedron (EntityTopic, 12)

From Hi.gher. Space

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{{STS Shape
{{STS Shape
| name=Dodecahedron
| name=Dodecahedron
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| image=<[#img [hash MTJRRXEJQQJVGFCEBYAN84F3NF] [width 150]]>
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| image=<[#embed [hash MTJRRXEJQQJVGFCEBYAN84F3NF] [width 150]]>
| dim=3
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| elements=12, 30, 20
| elements=12, 30, 20

Revision as of 20:43, 11 February 2014


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