Square (EntityTopic, 20)
From Hi.gher. Space
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Squares are the most common base for two-dimensional [[manifold]]s and [[polyomino]]es. | Squares are the most common base for two-dimensional [[manifold]]s and [[polyomino]]es. | ||
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| + | == Geometry == | ||
| + | === Equations === | ||
| + | *Variables: | ||
| + | <blockquote>l ⇒ length of edges of the square</blockquote> | ||
| + | |||
| + | *The [[radial slice]]s ''θ'' of a square are: | ||
| + | <blockquote>[!xy:+x] ⇒ line of length ''l''sin(45° + (''θ'' % 90°)2<sup>-1</sup>√2</blockquote> | ||
{{Polygons}} | {{Polygons}} | ||
{{Rotope Nav|1|2|3|I<br>Line|II<br>Square|I'<br>Triangle|gons}} | {{Rotope Nav|1|2|3|I<br>Line|II<br>Square|I'<br>Triangle|gons}} | ||
{{Bracketope Nav|1|2|3|x<br>Line|[xy]<br>Square|<xy><br>Diamond|gons}} | {{Bracketope Nav|1|2|3|x<br>Line|[xy]<br>Square|<xy><br>Diamond|gons}} | ||
Revision as of 07:30, 25 June 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:
[!xy:+x] ⇒ line of length lsin(45° + (θ % 90°)2-1√2
Template:Polygons
Template:Rotope Nav
| 1. x Line | 2. [xy] Square | 3. Diamond |
| List of bracketopes | ||
