Square (EntityTopic, 20)
From Hi.gher. Space
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}}{{STS Uniform polytope | }}{{STS Uniform polytope | ||
| schlaefli={4} | | schlaefli={4} | ||
| - | | vfigure=[[ | + | | vfigure=[[Digon]], length √2 |
| dual=''Self-dual'' | | dual=''Self-dual'' | ||
}}}} | }}}} | ||
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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] ⇒ [[ | + | <blockquote>[:x,:y] ⇒ [[digon]] of length ''l''sin(45° + (''θ'' % 90°)√2</blockquote> |
== Segmentation == | == Segmentation == | ||
| Line 44: | Line 44: | ||
{{Dishapes}} | {{Dishapes}} | ||
| - | {{Rotope Nav|1|2|3|I<br> | + | {{Rotope Nav|1|2|3|I<br>Digon|II<br>Square|I'<br>Triangle|gons}} |
| - | {{Bracketope Nav|1|2|3|x<br> | + | {{Bracketope Nav|1|2|3|x<br>Digon|[xy]<br>Square|<xy><br>Diamond|gons}} |
[[Category:Regular polygons]] | [[Category:Regular polygons]] | ||
Revision as of 22:44, 5 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 | ||
