Geoteron (EntityTopic, 20)
From Hi.gher. Space
(Difference between revisions)
m |
m (fix) |
||
| Line 25: | Line 25: | ||
{{Polytera}} | {{Polytera}} | ||
| - | {{Rotope Nav|44|45|46|((II)(II))<br>Tiger|IIIII<br>Pentacube|IIII'<br> | + | {{Rotope Nav|44|45|46|((II)(II))<br>Tiger|IIIII<br>Pentacube|IIII'<br>Tesseric pyramid}} |
Revision as of 23:22, 18 June 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.
