Square

Square
Geometry
Dimensionality	2
Schläfli Symbol	'"`UNIQ--postMath-00000001-QINU`"'
Subfacets
Vertices	4 points
Edges	4 line segments
Faces	1 square
Hypervolumes
Vertex Count	'"`UNIQ--postMath-00000002-QINU`"'
Edges Length	'"`UNIQ--postMath-00000003-QINU`"'
Surface Area	'"`UNIQ--postMath-00000004-QINU`"'

A square is the 2-dimensional hypercube. It has the schläfli symbol $\{4\}$, as it is a four-sided polygon. Other names of square are called tetragon or tetrasquaron (Using Googleaarex's polytope naming system).

Squares are one of the three regular polygons that tile the plane. The others are the equilateral triangle and regular hexagon.

Sections

The square can be thought of as infinitely mine line segments stacked on each other in the y direction. As such, when viewed from a side, the sections are identical lines. It is composed of two pairs of parallel line segments.

When viewed from a vertex, the point will expand into a line of length $sqrt{2}$ before turning back to a point.

 Hypervolumes

• vertex count = $4$
• edge length = $4l$
• area = $l^2$

Subfacets

• 4 points (0D)
• 4 line segments (1D)

See Also

	Zeroth	First	Second	Third	Fourth	Fifth	Sixth	Seventh	Eighth	Ninth	Tenth
Simplex	Point	Line	Triangle	Tetrahedron	Pentachoron	Hexateron	Heptapeton	Octaexon	Enneazetton	Decayotton	Hendecaxennon
Hypercube	Point	Line	Square	Cube	Tesseract	Penteract	Hexeract	Hepteract	Octeract	Enneract	Dekeract
Cross	Point	Line	Square	Octahedron	Hexadecachoron	Pentarss	Hexarss	Heptarss	Octarss	Ennearss	Decarss
Hypersphere	Point	Line	Circle	Sphere	Glome	Hyperglome	Hexaphere	Heptaphere	Octaphere	Enneaphere	Decaphere