Explore 20+ mathematical constants including Pi, Euler's number, Golden Ratio, and advanced constants like Feigenbaum and Euler-Mascheroni. High-precision values with descriptions.
Mathematical Constants
π Pi Value: 3.14159265358979323846264338327950288... Ratio of a circle's circumference to its diameter
e Euler's Number Value: 2.71828182845904523536028747135266249... Base of natural logarithms, limit of (1+1/n)^n
φ (phi) Golden Ratio Value: 1.61803398874989484820458683436563811... (1 + √5) / 2, appears in art, architecture, nature
√2 Square Root of 2 Value: 1.41421356237309504880168872420969807... Pythagoras' constant, diagonal of a unit square
√3 Square Root of 3 Value: 1.73205080756887729352744634150587236... Theodorus' constant, height of an equilateral triangle with side 2
√5 Square Root of 5 Value: 2.23606797749978969640917366873127623... Appears in the golden ratio formula
ln(2) Natural Logarithm of 2 Value: 0.69314718055994530941723212145817656... Time for exponential growth to double
ln(10) Natural Logarithm of 10 Value: 2.30258509299404568401799145468436420... Conversion factor between natural and common logarithms
γ (gamma) Euler-Mascheroni Constant Value: 0.57721566490153286060651209008240243... Limit of harmonic series minus natural log, appears in number theory
ζ(3) Apery's Constant Value: 1.20205690315959428539973816151144999... Riemann zeta function at 3, proven irrational by Apery in 1978
G Catalan's Constant Value: 0.91596559417721901505460351493238411... Alternating sum of reciprocal odd squares
π²/6 Pi Squared over 6 Value: 1.64493406684822643647241516664602518... Basel problem solution: sum of 1/n² for n=1 to ∞
τ Tau Value: 6.28318530717958647692528676655900559... 2π, full turn in radians, advocated as more natural circle constant
δ_S Silver Ratio Value: 2.41421356237309504880168872420969807... 1 + √2, related to regular octagons
ρ Plastic Number Value: 1.32471795724474602596090885447809734... Real root of x³ = x + 1, smallest Pisot number
δ Feigenbaum Constant δ Value: 4.66920160910299067185320382046620161... Ratio of successive bifurcation intervals in chaos theory
α Feigenbaum Constant α Value: 2.50290787509589282228390287321821578... Scaling factor in period-doubling cascades
K₀ Khinchin's Constant Value: 2.68545200106530644530971483548179569... Geometric mean of continued fraction coefficients for almost all reals
C₂ Twin Prime Constant Value: 0.66016181584686957392781211001455577... Product related to the distribution of twin primes
Ω Omega Constant Value: 0.56714329040978387299996866221035554... W(1), where W is the Lambert W function; satisfies Ωe^Ω = 1
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