# Tesseric pyramid (EntityTopic, 11)

### From Hi.gher. Space

(Redirected from Rotope 46)

A **tesseric pyramid** is a special case of the pyramid where the base is a tesseract. Note that if one attempts to construct a tesseric pyramid with equal edge lengths, the height turns out to be zero and the pyramid is degenerate, due to the distance from the tesseract's vertex to its center being exactly ^{√4}∕_{2} = 1 times the edge length.

## 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 |

40. [211]^{1}Cubindrone | 41. [1111]
^{1}Tesseric pyramid | 42. 31^{1}Sphentrianglinder |

List of tapertopes |