# Tiger (EntityTopic, 11)

(Difference between revisions)
 Revision as of 10:20, 25 June 2007 (view source) (rm per FGwiki:Shape assumptions)← Older edit Revision as of 20:19, 17 August 2007 (view source)Keiji (Talk | contribs) mNewer 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:
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.
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}} + {{Tetrashapes}} {{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

• 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.

 Notable Tetrashapes Regular: pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron Powertopes: triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate Circular: glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder Torii: tiger • torisphere • spheritorus • torinder • ditorus