Mathematical Constants Quiz

Name these mathematical constants, mostly named after famous mathematicians

A few of these use a name for a constant which is far less common than their standard name

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Last updated: December 9, 2020

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First submitted	December 9, 2020
Times taken	38
Average score	41.2%
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Symbol	Definition	Alternate definition	Constant
√2	Square root of two	Diagonal of a square of side length 1	Pythagoras' constant
√3	Square root of three	Space diagonal of a cube of side length 1	Theodorus' constant
φ	Positive root of x²=x+1	Diagonal of a pentagon of side length 1	Golden ratio
δₛ	Positive root of x²=2x+1	Height of an octagon of side length 1	Silver ratio
S₃	Positive root of x²=3x+1	Side ratio of rectangle cut into 3 squares and a similar rectangle	Bronze ratio
ρ	Real root of x³=x+1	Side ratio of the larger 2 of 3 unique similar rectangles that partition a square	Plastic ratio
ψ	Real root of x³=x²+1	Approached ratio of consecutive terms in Narayana's cows' sequence	Supergolden ratio
π	x of Euler's formula at identity	Four times the alternating sum of the reciprocals of the odd numbers	Archimedes' constant
e	Sum of the reciprocals of the factorials		Euler's number
ζ(3)	Sum of the reciprocals of the cubes		Apéry's constant
ζ(2)	Sum of the reciprocals of the squares		Solution to the Basel problem
ζ(2)⁻¹	Probability that two integers will be coprime		Hafner–Sarnak–McCurley constant
A, θ	Raised to the integer exponents of three and rounded down always gives a prime		Mills' constant
𝛿	Limiting ratio of each bifurcation interval of the logistic map		Feigenbaum constant
γ	Limiting difference between the harmonic series and natural logarithm		Euler-Mascheroni constant
G, g₆₄	One upper bound on the answer of a combinatorics problem involving higher-dimensional cubes		Graham's number
10¹⁰⁰	Ten duotrigintillion		Googol

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