Circle (EntityTopic, 15)
From Hi.gher. Space
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| - | {{Shape|Circle|''No image''|2|1, 0|0|N/A|N/A|[[Line (object)|E]]L|2 (x,y)|N/A|N/A|N/A}} | + | {{Shape|Circle|''No image''|2|1, 0|0|N/A|N/A|[[Line (object)|E]]L|2 (x,y)|N/A|N/A|N/A|4}} |
== Geometry == | == Geometry == | ||
A '''circle''' refers to the surface of a perfectly symmetrical [[planar]] object. | A '''circle''' refers to the surface of a perfectly symmetrical [[planar]] object. | ||
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{{Polyhedra}} | {{Polyhedra}} | ||
| - | {{ | + | {{Rotope Nav|3|4|5|I'<br>Triangle|(II)<br>Circle|III<br>Cube}} |
Revision as of 12:04, 17 June 2007
Geometry
A circle refers to the surface of a perfectly symmetrical planar object.
Equations
- Assumption: Circle is centered at the origin.
- 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))
| Notable Trishapes | |
| Regular: | tetrahedron • cube • octahedron • dodecahedron • icosahedron |
| Direct truncates: | tetrahedral truncate • cubic truncate • octahedral truncate • dodecahedral truncate • icosahedral truncate |
| Mesotruncates: | stauromesohedron • stauroperihedron • stauropantohedron • rhodomesohedron • rhodoperihedron • rhodopantohedron |
| Snubs: | snub staurohedron • snub rhodohedron |
| Curved: | sphere • torus • cylinder • cone • frustum • crind |
