Circle (EntityTopic, 15)
From Hi.gher. Space
(Difference between revisions)
m |
(update to STS) |
||
| Line 1: | Line 1: | ||
| - | {{Shape | + | {{STS Shape |
| - | + | ||
| dim=2 | | dim=2 | ||
| elements=1, 0 | | elements=1, 0 | ||
| genus=0 | | genus=0 | ||
| - | |||
| ssc=(xy) | | ssc=(xy) | ||
| - | |||
| - | |||
| - | |||
| - | |||
| pv_circle=1 | | pv_circle=1 | ||
| pv_square=<sup>π</sup>⁄<sub>4</sub> ≈ 0.7854 | | pv_square=<sup>π</sup>⁄<sub>4</sub> ≈ 0.7854 | ||
| - | }} | + | | extra={{STS Rotope |
| + | | attrib=pure | ||
| + | | notation=2 (xy) | ||
| + | | index=4 | ||
| + | }}{{STS Bracketope | ||
| + | | index=4 | ||
| + | }}}} | ||
A '''circle''' refers to the surface of a perfectly symmetrical [[planar]] object. | A '''circle''' refers to the surface of a perfectly symmetrical [[planar]] object. | ||
Revision as of 08:45, 14 March 2008
A circle refers to the surface of a perfectly symmetrical planar object.
Equations
- Variables:
r ⇒ radius of circle
- All points (x, y) that lie on the surface of a circle will satisfy the following equation:
x2 + y2 = r2
- The hypervolumes of a circle are given by:
total edge length = 2πr
area = πr2
- The linear cross-sections (n) of a circle are:
[!x,!y] ⇒ line of length (rcos(πn/2))
Use
Circular faces are found in these trishapes on FGwiki:
| Notable Dishapes | |
| Flat: | triangle • square • pentagon • hexagon • octagon • decagon |
| Curved: | circle |
| 3. Diamond | 4. (xy) Circle | 5. [xyz] Cube |
| List of bracketopes | ||
