Geoteron (EntityTopic, 20)

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A penteract, also known as a pentacube or a regular decateron is a special case of the prism where the base is a tesseract.

Equations

  • Variables:
l ⇒ length of the edges of the penteract
  • All points (x, y, z, w, φ) that lie on the surteron of a penteract will satisfy the following equation:
Unknown
total edge length = 80l
total surface area = 80l2
total surcell volume = 40l3
surteron bulk = 10l4
pentavolume = l5
[!x, !y, !z, !w, !φ] ⇒ tesseract of side (l)

Net

The net of a penteract is a tesseract surrounded by eight more tesseracts, with one more tesseract added to one of these.


Hypercubes
pointdigonsquarecubegeochorongeoterongeopeton


Notable Pentashapes
Flat: pyroteronaeroterongeoteron
Curved: tritoruspentasphereglonecylspherindertesserinder

Template:Rotope Nav

49. (<xy><zw>)
Doubly-narrow duocrind
50. [xyzwφ]
Penteract
51. [<xy>zwφ]
Narrow penteract
List of bracketopes