Square (EntityTopic, 20)
From Hi.gher. Space
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== Segmentation == | == Segmentation == | ||
The square of side 2 may be [[segment]]ed into 4× [[triangle]] with sides 2, 2×2<sup>2<sup>-1</sup></sup> and angles 2×45°, 90°. | The square of side 2 may be [[segment]]ed into 4× [[triangle]] with sides 2, 2×2<sup>2<sup>-1</sup></sup> and angles 2×45°, 90°. | ||
| + | |||
| + | == Use == | ||
| + | Square faces are found in these [[polyhedra]] on FGwiki: | ||
| + | *[[Cube]] (6, 100%) | ||
| + | *[[Square antiprism]] | ||
| + | *[[Square pyramid]] | ||
| + | *[[Triangular prism]] | ||
| + | *[[Truncated octahedron]] | ||
| + | *[[Snub cube]] | ||
| + | *[[Cuboctahedron]] | ||
{{Dishapes}} | {{Dishapes}} | ||
Revision as of 10:48, 22 September 2007
A square is a two-dimensional hypercube.
Squares are the most common base for two-dimensional manifolds and polyominoes.
Geometry
Equations
- Variables:
l ⇒ length of edges of the square
- The radial slices θ of a square are:
[:x,:y] ⇒ line segment of length lsin(45° + (θ % 90°)√2
Segmentation
The square of side 2 may be segmented into 4× triangle with sides 2, 2×22-1 and angles 2×45°, 90°.
Use
Square faces are found in these polyhedra on FGwiki:
- Cube (6, 100%)
- Square antiprism
- Square pyramid
- Triangular prism
- Truncated octahedron
- Snub cube
- Cuboctahedron
| Notable Dishapes | |
| Flat: | triangle • square • pentagon • hexagon • octagon • decagon |
| Curved: | circle |
| 1. x Line segment | 2. [xy] Square | 3. Diamond |
| List of bracketopes | ||
