Square dipyramid (EntityTopic, 16)
From Hi.gher. Space
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*The [[hypervolume]]s of a square dipyramid are given by: | *The [[hypervolume]]s of a square dipyramid are given by: | ||
<blockquote>total edge length = 13''l''<br> | <blockquote>total edge length = 13''l''<br> | ||
| - | total surface area = | + | total surface area = (1 + 6√3) {{DotHV}}<br> |
| - | surcell volume = | + | surcell volume = {{Over|2√2|3}} {{DotHV|3}}<br> |
bulk = ''Unknown''</blockquote> | bulk = ''Unknown''</blockquote> | ||
Revision as of 15:44, 18 November 2011
A square dipyramid is a special case of the pyramid where the base is a square pyramid. It is also a special case of the dipyramid where the base is a square.
Equations
- Variables:
l ⇒ length of each line in the square dipyramid
- The hypervolumes of a square dipyramid are given by:
total edge length = 13l
total surface area = (1 + 6√3) · l2
surcell volume = 2√2∕3 · l3
bulk = Unknown
- The realmic cross-sections (n) of a square dipyramid are:
[!x,!y] ⇒ triangular prism
[!z,!w] ⇒ square pyramid
Net
The net of a square dipyramid is two square pyramids attached at their bases with four tetrahedra each attached to another face of one of the square based pyramids.
No image
Projection
The parallel projection of a square dipyramid is the following:
ExPar: [#img] is obsolete, use [#embed] instead
| 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 |
| 22. 22 Dicone | 23. [11]2 Square dipyramid | 24. 121 Coninder |
| List of tapertopes | ||
