Square (EntityTopic, 20)

From Hi.gher. Space

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{{Shape
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{{STS Shape
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| attrib=pure
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| dim=2
| dim=2
| elements=4, 4
| elements=4, 4
| genus=0
| genus=0
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| 20=SSC
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| ssc=[xy] or G4
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| ssc=G4
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| rns=11 xy
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| bracket=[xy]
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| rot_i=2
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| bra_i=2
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| pv_circle=<sup>2</sup>⁄<sub>π</sub> ≈ 0.6366
| pv_circle=<sup>2</sup>⁄<sub>π</sub> ≈ 0.6366
| pv_square=1
| pv_square=1
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| extra={{STS Rotope
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| attrib=pure
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| notation=11 xy
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| index=2
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}}{{STS Bracketope
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| index=2
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}}{{STS Uniform polytope
| schlaefli={4}
| schlaefli={4}
| vfigure=[[Line (shape)|Line]], length √2
| vfigure=[[Line (shape)|Line]], length √2
| dual=''Self-dual''
| dual=''Self-dual''
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}}
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}}}}
A '''square''' is a two-dimensional [[hypercube]].
A '''square''' is a two-dimensional [[hypercube]].

Revision as of 08:42, 14 March 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
[: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:


Notable Dishapes
Flat: trianglesquarepentagonhexagonoctagondecagon
Curved: circle

Template:Rotope Nav

1. x
Line segment
2. [xy]
Square
3.
Diamond
List of bracketopes

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