Cubic pyramid (EntityTopic, 23)
From Hi.gher. Space
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*The [[hypervolume]]s of a cubic pyramid are given by: | *The [[hypervolume]]s of a cubic pyramid are given by: | ||
<blockquote>total edge length = 20''l''<br> | <blockquote>total edge length = 20''l''<br> | ||
| - | total surface area = | + | total surface area = (6 + 3√3) {{DotHV}}<br> |
| - | surcell volume = | + | surcell volume = (1 + √2) {{DotHV|3}}<br> |
bulk = {{Over|1|4}} {{DotHV|4}}</blockquote> | bulk = {{Over|1|4}} {{DotHV|4}}</blockquote> | ||
Revision as of 00:05, 23 November 2011
Equations
- Variables:
l ⇒ length of edges of the cubic pyramid
- The hypervolumes of a cubic pyramid are given by:
total edge length = 20l
total surface area = (6 + 3√3) · l2
surcell volume = (1 + √2) · l3
bulk = 1∕4 · l4
- The realmic cross-sections (n) of a cubic pyramid are:
[!x,!y,!z] ⇒ triangle
[!w] ⇒ square
Net
The net of a cubic pyramid is a cube surrounded by six square pyramids.
| Notable Tetrashapes | |
| Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
| Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
| Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
| Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
| 18. [21]1 Cylindrone | 19. [111]1 Cubic pyramid | 20. 211 Cyltrianglinder |
| List of tapertopes | ||
