# Tiger (EntityTopic, 11)

(Difference between revisions)
 Revision as of 07:19, 20 June 2007 (view source)Keiji (Talk | contribs)m← Older edit Revision as of 07:09, 21 June 2007 (view source)Newer edit → Line 25: Line 25: *The [[realmic]] [[cross-section]]s (''n'') of a coninder are: *The [[realmic]] [[cross-section]]s (''n'') of a coninder are: -
''Unknown''
+
For realms parallel to one of the axes, they are formed by rotating Cassini ovals around a line parallel with their major axis, and not intersecting the ovals.
{{Polychora}} {{Polychora}} {{Rotope Nav|43|44|45|(II)(II)
Duocylinder|((II)(II))
Tiger|IIIII
Pentacube|chora}} {{Rotope Nav|43|44|45|(II)(II)
Duocylinder|((II)(II))
Tiger|IIIII
Pentacube|chora}}

## 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

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)
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
bulk = Unknown
For realms parallel to one of the axes, they are formed by rotating Cassini ovals around a line parallel with their major axis, and not intersecting the ovals.