Sphone (EntityTopic, 11)
From Hi.gher. Space
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{{Shape|Sphone|''No image''|4|2, 1, ?, 1|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Sphere|L]]T|3<sup>1</sup> (xyz)<sup>w</sup>|[[Sphere]], radius 1|N/A|N/A|21|N/A|N/A|pure}} | {{Shape|Sphone|''No image''|4|2, 1, ?, 1|0|N/A|N/A|[[Line (object)|E]][[Circle|L]][[Sphere|L]]T|3<sup>1</sup> (xyz)<sup>w</sup>|[[Sphere]], radius 1|N/A|N/A|21|N/A|N/A|pure}} | ||
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A '''sphone''' is a special case of a [[pyramid]] where the base is a [[sphere]]. | A '''sphone''' is a special case of a [[pyramid]] where the base is a [[sphere]]. | ||
| - | + | == Equations == | |
*Variables: | *Variables: | ||
<blockquote>''r'' ⇒ radius of base of sphone<br> | <blockquote>''r'' ⇒ radius of base of sphone<br> | ||
Revision as of 20:19, 22 September 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
- 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)
| 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 |
