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A 2-Dimensional Space is a space in which every position can be described using a pair of numbers, such as with a complex number.

Types of 2-Dimensional Space

The types of a two-dimensional space can be sorted according to their curvature. Roughly, positive curvature causes parallel lines to meet, and negative curvature causes parallel lines to diverge.

Spherical

The spherical plane has a positive curvature, and can be thought of as the two-dimensional space being a sphere, on the surface of a ball. Two parallel lines will eventually wrap around the sphere and meet again, and similarly walking in a straight line will eventually return an entity in a spherical space to its original location.

Euclidean

The Euclidean plane has a zero curvature, and is the ordinary flat plane that follows the postulates of Euclidean geometry.

Hyperbolic

The hyperbolic plane has a negative curvature. This means that two parallel lines will diverge, giving them the name ultraparallel.

Verses

A two-dimensional verse is called a planeverse.

See Also

Dimensions Zeroth First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth Eleventh Twelfth Thirteenth Fourteenth Fifteenth Sixteenth ... Omegath
-verse Protoverse Lineverse Planeverse Realmverse Fluneverse Pentealmverse Hexealmverse Heptealmverse Octealmverse Ennealmverse Decealmverse Hendecealmverse Dodecealmverse Tridecealmverse Tetradecealmverse Pentadecealmverse Hexadecealmverse ... Omegealmverse

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