Sphone (EntityTopic, 11)
From Hi.gher. Space
(Difference between revisions)
m |
m |
||
| Line 7: | Line 7: | ||
| ssc=(xyz)P | | ssc=(xyz)P | ||
| ssc2=&T3 | | ssc2=&T3 | ||
| - | | extra={{STS | + | | extra={{STS Tapertope |
| - | | | + | | order=1, 1 |
| - | | notation=3<sup>1 | + | | notation=3<sup>1</sup> |
| - | | index= | + | | index=17 |
}}}} | }}}} | ||
| Line 38: | Line 38: | ||
<br clear="all"><br> | <br clear="all"><br> | ||
{{Tetrashapes}} | {{Tetrashapes}} | ||
| - | {{ | + | {{Tapertope Nav|16|17|18|1111<br>Tesseract|3<sup>1</sup><br>Sphone|[21]<sup>1</sup><br>Cylindrone|chora}} |
Revision as of 20:58, 24 November 2009
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] ⇒ Hyperboloids of two sheets
[!z] ⇒ sphere of radius (r-rnh-1)
| 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 |
| 16. 1111 Tesseract | 17. 31 Sphone | 18. [21]1 Cylindrone |
| List of tapertopes | ||
