Square dipyramid (EntityTopic, 16)
From Hi.gher. Space
(Difference between revisions)
m (not a uniform polytope) |
m (→Projection) |
||
| Line 36: | Line 36: | ||
The parallel projection of a square dipyramid is the following: | The parallel projection of a square dipyramid is the following: | ||
| - | <blockquote>http:// | + | <blockquote>http://teamikaria.com/share/?caption=square_dipyramid.png</blockquote> |
{{Tetrashapes}} | {{Tetrashapes}} | ||
{{Rotope Nav|17|18|19|II'I<br>Square pyramidal prism|<nowiki>II''</nowiki><br>Square dipyramid|(II'I)<br>Square pyramidal torus|chora}} | {{Rotope Nav|17|18|19|II'I<br>Square pyramidal prism|<nowiki>II''</nowiki><br>Square dipyramid|(II'I)<br>Square pyramidal torus|chora}} | ||
Revision as of 10:45, 21 March 2008
A square dipyramid is a special case of the tetrapyramid 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 = l2(1 + 6√3)
surcell volume = l23-1√3 + l33-1√2
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 based pyramids attached at their bases with four tetrahedrons 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:
http://teamikaria.com/share/?caption=square_dipyramid.png
| 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 |
