Sphone (EntityTopic, 11)
From Hi.gher. Space
(Difference between revisions)
m |
m (rm per FGwiki:Shape assumptions) |
||
Line 4: | Line 4: | ||
=== Equations === | === Equations === | ||
- | |||
*Variables: | *Variables: | ||
<blockquote>''r'' ⇒ radius of base of sphone<br> | <blockquote>''r'' ⇒ radius of base of sphone<br> |
Revision as of 10:18, 25 June 2007
Geometry
A sphone is a special case of a pyramid where the base is a sphere.
Equations
- Variables:
r ⇒ radius of base of sphone
h ⇒ height of sphone
- All points (x, y, z, w) that lie on the surcell of a sphone will satisfy the following equations:
Unknown
- All points (x, y, z) that lie on the faces of a sphone will satisfy the following equations:
x2 + y2 + z2 = r2
w = 0
- The hypervolumes of a sphone are given by:
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
bulk = πr3h3-1
- The realmic cross-sections (n) of a sphone are:
[!x,!y,!w] ⇒ Unknown
[!z] ⇒ sphere of radius (r-rnh-1)