Square (EntityTopic, 20)
From Hi.gher. Space
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| pv_circle=<sup>2</sup>⁄<sub>π</sub> ≈ 0.6366 | | pv_circle=<sup>2</sup>⁄<sub>π</sub> ≈ 0.6366 | ||
| pv_square=1 | | pv_square=1 | ||
| - | | extra={{STS Rotope | + | | extra={{STS Matrix| |
| + | 4 0 | ||
| + | 1 1}}{{STS Rotope | ||
| attrib=pure | | attrib=pure | ||
| notation=11 xy | | notation=11 xy | ||
Revision as of 00:40, 8 November 2008
A square is a two-dimensional hypercube.
Squares are the most common base for two-dimensional manifolds and polyominoes.
Equations
- Variables:
l ⇒ length of edges of the square
- The radial slices θ of a square are:
[:x,:y] ⇒ digon 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 trishapes on FGwiki:
- Cube (6×, 100%)
- Triangular prism (3×, 60%)
- Cuboctahedron (6×, 43%)
- Octahedral truncate (6×, 43%)
- Square antiprism (2×, 20%)
- Square pyramid (1×, 20%)
- Cubic snub (6×, 16%)
| Notable Dishapes | |
| Flat: | triangle • square • pentagon • hexagon • octagon • decagon |
| Curved: | circle |
| 1. x Digon | 2. [xy] Square | 3. Diamond |
| List of bracketopes | ||
