Sphone (EntityTopic, 11)

From Hi.gher. Space

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Revision as of 07:17, 20 June 2007

Template:Shape

Geometry

A sphone is a special case of a pyramid where the base is a sphere.

Equations

  • Assumption: Sphone's base is centered at the origin.
  • 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
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
bulk = πr3h3-1
[!x,!y,!w] ⇒ Unknown
[!z] ⇒ sphere of radius (r-rnh-1)



Template:Polychora Template:Rotope Nav