Tesseric pyramid (EntityTopic, 11)
From Hi.gher. Space
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| - | {{Shape | + | {{STS Shape |
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| name=Tesseric pyramid | | name=Tesseric pyramid | ||
| dim=5 | | dim=5 | ||
| elements=9, 32, 56, 48, 17 | | elements=9, 32, 56, 48, 17 | ||
| genus=0 | | genus=0 | ||
| - | |||
| ssc=[xyzw]P | | ssc=[xyzw]P | ||
| - | | | + | | extra={{STS Rotope |
| - | | | + | | attrib=pure |
| - | }} | + | | notation=1111<sup>1</sup> xyzw<sup>φ</sup> |
| + | | index=46 | ||
| + | }}}} | ||
A '''tesseric pyramid''' is a special case of the [[pyramid]] where the base is a [[tesseract]]. | A '''tesseric pyramid''' is a special case of the [[pyramid]] where the base is a [[tesseract]]. | ||
Revision as of 09:39, 14 March 2008
A tesseric pyramid is a special case of the pyramid where the base is a tesseract.
Equations
- Variables:
l ⇒ length of the edges of the tesseric pyramid
- All points (x, y, z, w, φ) that lie on the surteron of a tesseric pyramid will satisfy the following equation:
Unknown
- The hypervolumes of a tesseric pyramid are given by:
Unknown
- The flunic cross-sections (n) of a tesseric pyramid are:
Unknown
| Notable Pentashapes | |
| Flat: | pyroteron • aeroteron • geoteron |
| Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
