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There is also the transitive property
If a > b and b > c then a > c.
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The properties of mathematics originated with the creation of the universe. Mathmatical rules apply even if people do not understand them or when there are not present. Human understanding of mathematics is millenia old. Taxation, arcitecture, navigation and astronomy all required an understanding of the properties of mathematics.
Algebra
the branch of mathematics dealing with the properties and manipulation of numbers: the use of numbers in counting and calculation
Tessellation is a art of mathematics that has to do with a cube that has 4 sides. Tessellation is practice of finding out all the mathematical properties of a cube.