Pentasphere (EntityTopic, 15)
From Hi.gher. Space
Equations
- Variables:
r ⇒ radius of the pentasphere
- All points (x, y, z, w, φ) that lie on the surteron of a pentasphere will satisfy the following equation:
x2 + y2 + z2 + w2 + φ2 = r2
- The hypervolumes of a pentasphere are given by:
total edge length = 0
total surface area = 0
total surcell volume = 0
surteron bulk = π2∕2 · r4
pentavolume = π2∕8 · r5
- The realmic cross-sections (n) of a pentasphere are:
[!x,!y,!z,!w,!φ] ⇒ glome of radius (rcos(πn/2))
Notable Pentashapes | |
Flat: | pyroteron • aeroteron • geoteron |
Curved: | tritorus • pentasphere • glone • cylspherinder • tesserinder |
29. 1111 Duotrianglinder | 30. 5 Pentasphere | 31. 41 Glominder |
List of tapertopes |
8a. ((II)I)I Torinder | 8b. (((II)I)I) Ditorus | 9a. IIIII Penteract | 9b. (IIIII) Pentasphere | 10a. (II)III Tesserinder | 10b. ((II)III) Toratesserinder |
List of toratopes |
32. <IIIII> Aeroteron | 33. (IIIII) Pentasphere | 34. [(II)III] Tesserinder |
List of bracketopes |