Square orthobicupolic ring (EntityTopic, 17)
From Hi.gher. Space
(Difference between revisions)
(add coordinates) |
(software models) |
||
| (2 intermediate revisions not shown) | |||
| Line 1: | Line 1: | ||
| - | <[#ontology [kind topic] [cats | + | <[#ontology [kind topic] [cats Bicupolic_ring]]> |
{{STS Shape | {{STS Shape | ||
| - | | image=<[# | + | | image=<[#embed [hash RR35Y43QTQ6BY8FHP7E8M8PPEQ] [width 180]]> |
| dim=4 | | dim=4 | ||
| elements=11, 31, 36, 16 | | elements=11, 31, 36, 16 | ||
| Line 31: | Line 31: | ||
[!z] ⇒ ''Unknown''<br /> | [!z] ⇒ ''Unknown''<br /> | ||
[!w] ⇒ ''Unknown''</blockquote> | [!w] ⇒ ''Unknown''</blockquote> | ||
| + | |||
| + | ==Software models== | ||
| + | |||
| + | *[[Polyview]] [http://hddb.teamikaria.com/dl/ZZ3QPX5HWXQD2X0B2XPDGG3PVN.def .def file] | ||
| + | *[[Stella4D]] [http://hddb.teamikaria.com/dl/QSCXGC36CW4KPKZ755ZS6APHT4.off .off file] | ||
{{Clear}} | {{Clear}} | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
Latest revision as of 23:06, 23 May 2014
The square orthobicupolic ring is a CRF polychoron discovered by Keiji. It is a member of the family of bicupolic rings, which contains eight other similar polychora. It is formed by attaching two square cupolae by their octagonal faces, folding them into the fourth dimension with their square ends connected by a cube, and then filling in the gaps with 4 triangular prisms and 4 tetrahedra. For faces, it contains one octagon, 14 squares and 16 triangles.
Cartesian coordinates
The coordinates of the square orthobicupolic ring are as follows:
(±(1+√2),±1,0,0);
(±1,±(1+√2),0,0);
(±1,±1,1,±1).
Equations
- Variables:
l ⇒ edge length
- The hypervolumes of a square orthobicupolic ring are given by:
total edge length = 36l
total surface area = 2(8 + √2 + 2√3) · l2
surcell volume = Unknown
bulk = Unknown
- The realmic cross-sections (n) of a square orthobicupolic ring are:
[!x,!y] ⇒ Unknown
[!z] ⇒ Unknown
[!w] ⇒ Unknown
Software models
| 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 |
