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Dimensions are measurable extents that provide infinitely many points.

Formulas Edit

Dimension-Point Formula Edit

If d represents the number of dimensions, and p represents the number of possible points, then p = ∞d.

For example, in zero space (0-dimensions), p = ∞0, which means p = 1. This is true as the 0th dimension is only a point, so there is only one possible point.

Dimension-Net Formula Edit

If d represents the number of dimensions, and n represents the number of (d-1)-dimensional geometries needed to construct the outline of a d-dimensional geometry, then n =2d.

For example, in the 3rd dimension, n = 2(3), which means n= 6. This is true as 6 squares are needed to construct the outline of a cube.

Dimension-Vertices Formula Edit

If d represents the number of dimensions, and v represents the number of vertices, then v = 2d.

For example, in the 3rd dimension, v = 23, which means v = 8. This is true as there are 8 vertices in a cube.

Grey Point

A single point.

Zero Space Edit

Zero space can be visualized as a single point with no dimensions whatsoever.

Possible Points: 1

Geometries in Net: 0

Line

A line segment.

First Dimension Edit

The first dimension can be visualized as a line.

Possible Points: ∞
Square-outline-256

A square.

Geometries in Net: 2 (points)

Second Dimension Edit

The second dimension can be visualized as a square.

Possible Points: ∞

Geometries in Net: 4 (line segments)

RubikscubeAnimThm

A rotating cube.

Third Dimension Edit

The third dimension can be visualized as a cube.

Possible Points: ∞

Geometries in Net: 6 (squares)

Tesseract

A rotating tesseract.

Fourth Dimension Edit

The fourth dimension can be visualized as a tesseract.

Possible Points: ∞

Geometries in Net: 8 (cubes)

Fifth Dimension Edit

The fifth dimension can be visualized as a penteract.

Possible Points: ∞

Geometries in Net: 10 (tesseracts)