non-Archimedean number:

(aka non-Archimedean geometry) is any of a number of forms of geometry in which the axiom of Archimedes is negated. An example of such a geometry is the Dehn plane. Non-Archimedean geometries may have properties significantly different from Euclidean geometry.

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irrational numbers:

A number that cannot be expressed as a ratio between two integers and is not an imaginary number. If written in decimal notation, it will have an infinite number of digits to the right of the decimal point, without repetition. Pi and the square root of 2 (√2) are irrational numbers. all square roots of natural numbers (other than of perfect squares), are irrational.

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pi:

π- a mathematical constant; originally defined as the ratio of a circle's circumference to its diameter, appears in many formulas in all areas of mathematics & physics; approximately equal to 3.14159; as an irrational number, π cannot be expressed exactly as a common fraction (equivalently, as its decimal representation never ends or settles into a permanent repeating pattern); fractions such as 22/7 & other rational numbers are commonly used to approximate π.

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abyss:

the primal chaos before Creation.