Spheritorus (EntityTopic, 11)
From Hi.gher. Space
(Difference between revisions)
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| ssc2=T((2)2) | | ssc2=T((2)2) | ||
| - | | extra={{STS | + | | extra={{STS Toratope |
| - | | | + | | holeseq=[1, 1] |
| - | | notation= | + | | notation=((II)II) |
| - | | index= | + | | index=5b |
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<blockquote>''Unknown''</blockquote> | <blockquote>''Unknown''</blockquote> | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
| - | {{ | + | {{Toratope Nav B|4|5|6|IIII<br>Tesseract|(IIII)<br>Glome|(II)II<br>Cubinder|((II)II)<br>Toracubinder|(II)(II)<br>Duocylinder|((II)(II))<br>Tiger|chora}} |
Revision as of 20:42, 24 November 2009
The toracubinder is a special case of a surcell of revolution where the base is a cylinder.
Equations
- Variables:
R ⇒ major radius of the toracubinder
r ⇒ minor radius of the toracubinder
h ⇒ height of the toracubinder
- All points (x, y, z, w) that lie on the surcell of a toracubinder will satisfy the following equation:
(sqrt(x2+y2)-R)2 + z2 + w2 = r2
- The parametric equations are:
x = r cos a cos b cos c + R cos c
y = r cos a cos b sin c + R sin c
z = r cos a sin b
w = r sin a
- The hypervolumes of a toracubinder are given by:
total edge length = Unknown
total surface area = Unknown
surcell volume = 4π2Rr(r+h)
bulk = 2π2Rr2h
- The realmic cross-sections (n) of a toracubinder are:
Unknown
| 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 |
| 4a. IIII Tesseract | 4b. (IIII) Glome | 5a. (II)II Cubinder | 5b. ((II)II) Toracubinder | 6a. (II)(II) Duocylinder | 6b. ((II)(II)) Tiger |
| List of toratopes | |||||
