Geoteron (EntityTopic, 20)
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== Geometry == | == Geometry == | ||
| - | A '''pentacube''', also known as a [[regular]] | + | A '''pentacube''', also known as a [[regular]] ''decateron'' is a special case of the [[prism]] where the base is a [[tesseract]]. |
=== Equations === | === Equations === | ||
Revision as of 01:09, 5 August 2007
Geometry
A pentacube, also known as 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 pentacube
- All points (x, y, z, w, φ) that lie on the surteron of a pentacube will satisfy the following equation:
Unknown
- The hypervolumes of a pentacube are given by:
total edge length = 80l
total surface area = 80l2
total surcell volume = 40l3
surteron bulk = 10l4
pentavolume = l5
- The flunic cross-sections (n) of a pentacube are:
[!x, !y, !z, !w, !φ] ⇒ tesseract of side (l)
Net
The net of a pentacube is a tesseract surrounded by eight more tesseracts, with one more tesseract added to one of these.
Template:Polytera
Template:Rotope Nav
| 49. (<xy><zw>) Doubly-narrow duocrind | 50. [xyzwφ] Pentacube | 51. [<xy>zwφ] Narrow pentacube |
| List of bracketopes | ||
