Spheritorus (EntityTopic, 11)
From Hi.gher. Space
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| - | {{Shape|Toracubinder|''No image''|4|1, ?, ?, 0|1|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Cylinder|E]]Q|(211) ((x,y),z,w)|N/A|N/A|N/A}} | + | {{Shape|Toracubinder|''No image''|4|1, ?, ?, 0|1|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Cylinder|E]]Q|(211) ((x,y),z,w)|N/A|N/A|N/A|36}} |
===Geometry=== | ===Geometry=== | ||
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*The [[realmic]] [[cross-section]]s (''n'') of a toracubinder are: | *The [[realmic]] [[cross-section]]s (''n'') of a toracubinder are: | ||
<blockquote>''Unknown''</blockquote> | <blockquote>''Unknown''</blockquote> | ||
| - | |||
{{Polychora}} | {{Polychora}} | ||
| - | {{ | + | {{Rotope Nav|35|36|37|(II)I'<br>Cylindrical pyramid|((II)II)<br>Toracubinder|(II)'I<br>Coninder}} |
Revision as of 12:57, 17 June 2007
Geometry
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
