Square (EntityTopic, 20)
From Hi.gher. Space
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| - | {{Shape| | + | {{Shape |
| + | | attrib=pure | ||
| + | | dim=2 | ||
| + | | elements=4, 4 | ||
| + | | genus=0 | ||
| + | | 20=SSC | ||
| + | | ssc=G4 | ||
| + | | rns=11 xy | ||
| + | | bracket=[xy] | ||
| + | | rot_i=2 | ||
| + | | bra_i=2 | ||
| + | | pv_circle=<sup>2</sup>⁄<sub>π</sub> ≈ 0.6366 | ||
| + | | pv_square=1 | ||
| + | | schlaefli={4} | ||
| + | | vfigure=[[Line (shape)|Line]], length √2 | ||
| + | | dual=''Self-dual'' | ||
| + | }} | ||
A '''square''' is a two-dimensional [[hypercube]]. | A '''square''' is a two-dimensional [[hypercube]]. | ||
Revision as of 07:48, 16 November 2007
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] ⇒ 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 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 Line segment | 2. [xy] Square | 3. Diamond |
| List of bracketopes | ||
