Tiger (EntityTopic, 11)
From Hi.gher. Space
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| - | {{Rotope Nav|43|44|45|(II)(II)<br>Duocylinder|((II)(II))<br>Tiger|IIIII<br>Pentacube}} | + | {{Rotope Nav|43|44|45|(II)(II)<br>Duocylinder|((II)(II))<br>Tiger|IIIII<br>Pentacube|chora}} |
Revision as of 07:19, 20 June 2007
Geometry
Equations
- Assumption: Tiger is centered at the origin.
- Variables:
a ⇒ major radius of the tiger in the xy plane
b ⇒ major radius of the tiger in the zw plane
r ⇒ minor radius of the tiger
- All points (x, y, z, w) that lie on the surcell of a tiger will satisfy the following equation:
(sqrt(x2+y2) - a)2 + (sqrt(z2+w2) - b)2 = r2
- The parametric equations are:
x = acos(θ1) + rcos(θ1)cos(θ3)
y = asin(θ1) + rsin(θ1)cos(θ3)
z = bcos(θ2) + rcos(θ2)sin(θ3)
w = bsin(θ2) + rsin(θ2)sin(θ3)
- The hypervolumes of a tiger are given by:
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
bulk = Unknown
- The realmic cross-sections (n) of a coninder are:
Unknown
