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New posts in golden-ratio
Why does a golden angle based spiral produce evenly distributed points?
fibonacci-numbers
golden-ratio
equidistribution
Continued Fraction [1,1,1,...]
number-theory
elementary-number-theory
continued-fractions
golden-ratio
Compare $\sum_{k=1}^n \left\lfloor \frac{k}{\varphi}\right\rfloor$ ...
number-theory
summation
ceiling-and-floor-functions
golden-ratio
On evaluating the Riemann zeta function, including that $\zeta(2)\gt \varphi$ where $\varphi$ is the golden ratio
sequences-and-series
number-theory
inequality
riemann-zeta
golden-ratio
Prove that $\frac{\pi}{\phi^2}<\frac65 $
number-theory
inequality
pi
golden-ratio
A Golden Angle Conjecture
algebraic-number-theory
golden-ratio
A Golden Ratio Symphony! Why so many golden ratios in a relatively simple golden ratio construction with square and circle?
geometry
trigonometry
euclidean-geometry
golden-ratio
Imaginary Golden Ratio
complex-numbers
golden-ratio
Trilogarithm $\operatorname{Li}_3(z)$ and the imaginary golden ratio $i\,\phi$
complex-analysis
logarithms
golden-ratio
polylogarithm
experimental-mathematics
Transcendentality of the $\log$ of the golden mean
number-theory
transcendental-numbers
golden-ratio
Proof of golden rectangle inside an Icosahedron
geometry
golden-ratio
What is golden ratio doing in this computer code?
random
golden-ratio
A pair of sequences defined by mutual addition/multiplication
number-theory
limits
recurrence-relations
asymptotics
golden-ratio
Prove $\phi^n = \phi F_n + \text{(another Fibonacci number)}$ using mathematical induction.
induction
fibonacci-numbers
golden-ratio
Have you seen this golden ratio construction before with three squares (or just two) and circle ?Geogebra gives PHI or 1.6180.. exactly
geometry
trigonometry
euclidean-geometry
golden-ratio
A Series For the Golden Ratio
calculus
sequences-and-series
golden-ratio
Ramanujan's Class Invariant $G_{625}$
special-functions
radicals
golden-ratio
modular-function
Golden ratio in complex number squares
linear-algebra
complex-numbers
golden-ratio
A Matrix With Eigenvalues Equal to The Golden Ratio and the Golden Conjugate
linear-algebra
abstract-algebra
eigenvalues-eigenvectors
conjectures
golden-ratio
Find $q$ such that $[q[qn]]+1=[q^2n]$ for $n=1,2,\dotsc$
algebra-precalculus
number-theory
elementary-number-theory
ceiling-and-floor-functions
golden-ratio
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