Square (EntityTopic, 20)
From Hi.gher. Space
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*The [[radial slice]]s ''θ'' of a square are: | *The [[radial slice]]s ''θ'' of a square are: | ||
<blockquote>[:x,:y] ⇒ [[digon]] of length ''l''sin(45° + (''θ'' % 90°)√2</blockquote> | <blockquote>[:x,:y] ⇒ [[digon]] of length ''l''sin(45° + (''θ'' % 90°)√2</blockquote> | ||
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+ | == Brick == | ||
+ | The square is a brick with one unique point at (1,1). It represents the [[Cartesian product]] and the MAX function. | ||
== Segmentation == | == Segmentation == | ||
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== See also == | == See also == | ||
*[[Tetragon]] | *[[Tetragon]] | ||
+ | *[[Diamond]] | ||
{{Dishapes}} | {{Dishapes}} |
Revision as of 16:14, 21 November 2009
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
Brick
The square is a brick with one unique point at (1,1). It represents the Cartesian product and the MAX function.
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%)
See also
Notable Dishapes | |
Flat: | triangle • square • pentagon • hexagon • octagon • decagon |
Curved: | circle |
1. x Digon | 2. [xy] Square | 3. Diamond |
List of bracketopes |