Torinder (EntityTopic, 11)

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{{Shape|Torinder|''No image''|4|?, ?, ?, 0|1|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Torus|Q]]E|(21)1 ((x,y),z),w|N/A|N/A|N/A|40|N/A|N/A|pure}}
{{Shape|Torinder|''No image''|4|?, ?, ?, 0|1|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Torus|Q]]E|(21)1 ((x,y),z),w|N/A|N/A|N/A|40|N/A|N/A|pure}}
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== Geometry ==
 
A '''torinder''' is the linear extension of a [[torus]].
A '''torinder''' is the linear extension of a [[torus]].
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=== Equations ===
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== Equations ==
*Variables:
*Variables:
<blockquote>''R'' ⇒ major radius of the torinder<br>
<blockquote>''R'' ⇒ major radius of the torinder<br>

Revision as of 20:23, 22 September 2007

Template:Shape A torinder is the linear extension of a torus.

Equations

  • Variables:
R ⇒ major radius of the torinder
r ⇒ minor radius of the torinder
h ⇒ height of the torinder
  • All points (x, y, z, w) that lie on the surcell of a torinder will satisfy the following equation:
h ≥ |w|
r2 = (sqrt(x2 + y2) - R)2 + z2
x = (R + r cos(θ)) cos(Φ)
y = (R + r cos(θ)) sin(Φ)
z = r sin(θ)
w = w
surface area of margin = 8π2Rr
surcell volume = 4πRr(πr + h)
bulk = 2π2Rr2h
Unknown


Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus

Template:Rotope Nav