Sphone (EntityTopic, 11)

From Hi.gher. Space

(Difference between revisions)
m (Missing SSC)
m
Line 6: Line 6:
| genus=0
| genus=0
| 20=SSC
| 20=SSC
-
| ssc=
+
| ssc=(xyz)P
| rns=3<sup>1</sup> (xyz)<sup>w</sup>
| rns=3<sup>1</sup> (xyz)<sup>w</sup>
| rot_i=21
| rot_i=21

Revision as of 18:45, 19 November 2007

Template:Shape

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
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
bulk = πr3h3-1
[!x,!y,!w] ⇒ Hyperboloids of two sheets
[!z] ⇒ sphere of radius (r-rnh-1)




Notable Tetrashapes
Regular: pyrochoronaerochorongeochoronxylochoronhydrochoroncosmochoron
Powertopes: triangular octagoltriatesquare octagoltriatehexagonal octagoltriateoctagonal octagoltriate
Circular: glomecubinderduocylinderspherindersphonecylindronediconeconinder
Torii: tigertorispherespheritorustorinderditorus

Template:Rotope Nav