Square (EntityTopic, 20)
From Hi.gher. Space
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== Use == | == Use == | ||
Square faces are found in these [[polyhedra]] on FGwiki: | Square faces are found in these [[polyhedra]] on FGwiki: | ||
| - | *[[Cube]] ( | + | *[[Cube]] (6×, 100%) |
| - | *[[Triangular prism]] ( | + | *[[Triangular prism]] (3×, 60%) |
| - | *[[Cuboctahedron]] ( | + | *[[Cuboctahedron]] (6×, 43%) |
| - | *[[Truncated octahedron]] ( | + | *[[Truncated octahedron]] (6×, 43%) |
| - | *[[Square antiprism]] ( | + | *[[Square antiprism]] (2×, 20%) |
| - | *[[Square pyramid]] ( | + | *[[Square pyramid]] (1×, 20%) |
| - | *[[Snub cube]] ( | + | *[[Snub cube]] (6×, 16%) |
{{Dishapes}} | {{Dishapes}} | ||
Revision as of 10:52, 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%)
- Triangular prism (3×, 60%)
- Cuboctahedron (6×, 43%)
- Truncated octahedron (6×, 43%)
- Square antiprism (2×, 20%)
- Square pyramid (1×, 20%)
- Snub cube (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 | ||
