Pyroteron (EntityTopic, 17)
From Hi.gher. Space
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The '''pyroteron''', also known as the '''hexateron''', is the five-dimensional [[simplex]]. It is a special case of the [[pyramid]] where the base is a [[pentachoron]]. | The '''pyroteron''', also known as the '''hexateron''', is the five-dimensional [[simplex]]. It is a special case of the [[pyramid]] where the base is a [[pentachoron]]. | ||
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{{Tapertope Nav|69|70|71|[11<sup>1</sup>]<sup>2</sup><br>Triangular prismic dipyramid|1<sup>4</sup><br>Hexateron|2<sup>1</sup>1<sup>1</sup><br>Contrianglinder|tera}} | {{Tapertope Nav|69|70|71|[11<sup>1</sup>]<sup>2</sup><br>Triangular prismic dipyramid|1<sup>4</sup><br>Hexateron|2<sup>1</sup>1<sup>1</sup><br>Contrianglinder|tera}} | ||
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Revision as of 20:42, 8 February 2014
The pyroteron, also known as the hexateron, is the five-dimensional simplex. It is a special case of the pyramid where the base is a pentachoron.
Equations
- Variables:
l ⇒ length of the edges of the hexateron
- All points (x, y, z, w, φ) that lie on the surface of a hexateron will satisfy the following equation:
Unknown
- The hypervolumes of a hexateron are given by:
Unknown
- The flunic cross-sections (n) of a hexateron are:
Unknown
| Simplices |
| triangle • tetrahedron • pyrochoron • pyroteron • pyropeton |
| Notable Pentashapes | |
| Flat: | pyroteron • aeroteron • geoteron |
| Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
| 69. [111]2 Triangular prismic dipyramid | 70. 14 Hexateron | 71. 2111 Contrianglinder |
| List of tapertopes | ||
