Tesserinder (EntityTopic, 13)
From Hi.gher. Space
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| - | {{Shape|Tesserinder|''No image''|5|?, ?, ?, ?, ?|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Cylinder|E]][[Cubinder|E]]E|2111 (xy)zwφ|N/A|N/A|N/A| | + | {{Shape|Tesserinder|''No image''|5|?, ?, ?, ?, ?|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Cylinder|E]][[Cubinder|E]]E|2111 (xy)zwφ|N/A|N/A|N/A|119}} |
== Geometry == | == Geometry == | ||
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{{Polytera}} | {{Polytera}} | ||
| - | {{Rotope Nav| | + | {{Rotope Nav|117|118|119|(I'((II)I))<br>''Unknown shape''|(II)III<br>Tesserinder|(II)II'<br>Cubindric pyramid}} |
Revision as of 19:40, 17 June 2007
Geometry
A tesserinder is a special case of the prism where the base is a cubinder.
Equations
- Variables:
r ⇒ radius of the tesserinder
a ⇒ height of the tesserinder along z-axis
b ⇒ tridth of the tesserinder along w-axis
c ⇒ pentalength of the tesserinder along φ-axis
- All points (x, y, z, w, φ) that lie on the surteron of a tesserinder will satisfy the following equations:
x2 + y2 = r2
abs(z) ≤ a
abs(w) ≤ b
abs(φ) ≤ c
-- or --
x2 + y2 < r2
abs(z) = a
abs(w) = b
abs(φ) = c
- The hypervolumes of a tesserinder are given by:
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
surteron bulk = Unknown
pentavolume = πr2abc
- The flunic cross-sections (n) of a tesserinder are:
Unknown
