A constructible number is a number which corresponds to ratios of line segments which can be constructed using only straightedge and compass[1].

Algebraic properties

The definition of algebraically constructible numbers includes the sum, difference, product, quotient, square root of integers.

In googology

  • The golden ratio, equal to \((1+\sqrt{5})/2\), used to approximate numbers like fibonamega, fibonagygas and fibonatetris.
  • The sesquillion, equal to 103*1.5+3 = 107.5 ≈ 31622776.60168. The term is also an obscure alternative to "zillion" to refer to an indefinite large number.

Sources

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