Circle (EntityTopic, 15)
From Hi.gher. Space
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*The [[linear]] [[cross-section]]s (''n'') of a circle are: | *The [[linear]] [[cross-section]]s (''n'') of a circle are: | ||
<blockquote>[!x,!y] ⇒ [[line (object)|line]] of length (''r''cos(π''n''/2))</blockquote> | <blockquote>[!x,!y] ⇒ [[line (object)|line]] of length (''r''cos(π''n''/2))</blockquote> | ||
| + | |||
| + | == Use == | ||
| + | Circular faces are found in these trishapes on FGwiki: | ||
| + | *[[Cylinder]] (or [[Frustum]]) (2×, 66%) | ||
| + | *[[Cone]] (1×, 50%) | ||
{{Dishapes}} | {{Dishapes}} | ||
{{Rotope Nav|3|4|5|I'<br>Triangle|(II)<br>Circle|III<br>Cube|gons}} | {{Rotope Nav|3|4|5|I'<br>Triangle|(II)<br>Circle|III<br>Cube|gons}} | ||
{{Bracketope Nav|3|4|5|<xy><br>Diamond|(xy)<br>Circle|[xyz]<br>Cube|gons}} | {{Bracketope Nav|3|4|5|<xy><br>Diamond|(xy)<br>Circle|[xyz]<br>Cube|gons}} | ||
Revision as of 11:10, 22 September 2007
Geometry
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 | ||
