Tesserinder (EntityTopic, 13)

From Hi.gher. Space

A tesserinder is a special case of the prism where the base is a cubinder. It is also the Cartesian product of a circle and a cube.

Its tera are six cubinders and one curved teron formed by bending an elongated tesseract into a loop in 5D. Its cells are twelve cylinders and six curved cells formed by bending elongated cubes into loops in 4D. Its faces are eight discs and twelve curved surfaces from the cylinders. Its edges are eight circles.

Equations

  • Variables:
r ⇒ radius of the tesserinder
a ⇒ height of the tesserinder along z-axis
b ⇒ tridth of the tesserinder along w-axis
c ⇒ pentalength of the tesserinder along φ-axis
  • All points (x, y, z, w, φ) that lie on the surteron of a tesserinder will satisfy the following equations:
x2 + y2 = r2
abs(z) ≤ a
abs(w) ≤ b
abs(φ) ≤ c
   -- or --
x2 + y2 < r2
abs(z) = a
abs(w) = b
abs(φ) = c
total edge length = Unknown
total surface area = Unknown
surcell volume = Unknown
surteron bulk = Unknown
pentavolume = πr2abc
Unknown


Notable Pentashapes
Flat: pyroteronaeroterongeoteron
Curved: tritoruspentasphereglonecylspherindertesserinder


34. 221
Duocyldyinder
35. 2111
Tesserinder
36. 11111
Penteract
List of tapertopes


9a. IIIII
Penteract
9b. (IIIII)
Pentasphere
10a. (II)III
Tesserinder
10b. ((II)III)
Toratesserinder
11a. (II)(II)I
Duocyldyinder
11b. ((II)(II)I)
Toraduocyldyinder
List of toratopes


33. (IIIII)
Pentasphere
34. [(II)III]
Tesserinder
35. <(II)III>
Tribicone
List of bracketopes