Cover Image

An Elementary Proof of a Remarkable Relation Between the Squircle and Lemniscate

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fiedorowicz, Zbigniew, Ramalingam, Muthu Veerappan
Format:	Preprint
Published:	2024
Subjects:	History and Overview Number Theory 14H50, 33E05, 26A06
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Generalizations of the Squircle-Lemniscate Relation and Keplerian Dynamics
by: Fiedorowicz, Zbigniew, et al.
Published: (2026)

Elliptic Functions
by: Cooper, Shaun
Published: (2024)

Countable real analysis
by: Klazar, Martin
Published: (2023)

Ruler and compass constructions in the Lemniscate and the 17-gon
by: Gómez-Molleda, Mariángeles, et al.
Published: (2024)

A Discussion of Arnold's Limit Problem and its Geometric Argument
by: Honn, Keising
Published: (2024)

Integral-Differential Calculus
by: Molnar, Grant
Published: (2026)

An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers
by: Treeby, David, et al.
Published: (2025)

An Unimaginative Proof of Fermat's Two Squares Theorem
by: Bachman, Gennady
Published: (2025)

Celebrating the Day of $π$: Joyful Variations on Euler's Identity
by: Inoué, Takao
Published: (2026)

Elementary real analysis without compactness argument
by: Faure, Claude-Alain
Published: (2024)

The alien in the Riemann zeta function
by: Banks, William D.
Published: (2025)

Learning from Ramanujan: Elementary Approaches to Profound Ideas
by: Bradshaw, Zachary P., et al.
Published: (2026)

Finite subgroups of maximal order of the Cremona group over the rationals
by: Abouelsaad, Ahmed
Published: (2025)

History of Archimedean and non-Archimedean approaches to uniform processes: Uniformity, symmetry, regularity
by: Bottazzi, Emanuele, et al.
Published: (2025)

A Proof of the Thue-Siegel Theorem about the Approximation of Algebraic Numbers for Binomial Equations
by: Mahler, Kurt
Published: (2015)

A Leibniz/NSA comparison
by: Katz, Mikhail G., et al.
Published: (2024)

Teaching Proof to Future Mathematics Teachers in Mathematical Analysis Classes
by: Naziev, Aslanbek, et al.
Published: (2025)

Galois Points and Cremona Transformations
by: Abouelsaad, Ahmed
Published: (2023)

Functions of Several Variables
by: Warner, Garth
Published: (2024)

Riemann and the logarithmic derivatives of zeta
by: de Reyna, J. Arias
Published: (2026)

The double gamma function and Vladimir Alekseevsky
by: Neretin, Yury A.
Published: (2024)

Superspecial plane quintics with large automorphism groups
by: Ohashi, Ryo
Published: (2026)

Binary quadratic forms: modern developments
by: Zeytin, Ayberk
Published: (2025)

Faulhaber's formula, Bernoulli numbers, power sums of natural numbers and totatives and the functional equation $f(x)+x^k=f(x+1)$
by: Wu, Chai Wah
Published: (2024)

Zgjidhja e ekuacionit të gradës së 5-të
by: Shaska, Elira
Published: (2024)

Meeting Solomon Marcus
by: Nichita, Florin Felix
Published: (2026)

VPV Identities related to $\mathbf{x^y = y^x}$ and $\mathbf{x^y y^x = v^w w^v}$
by: Campbell, Geoffrey B.
Published: (2024)

Arnold Scholz: Between Mathematics and Politics
by: Lemmermeyer, Franz
Published: (2026)

Gauss and p-adic numbers
by: Lemmermeyer, Franz
Published: (2025)

A remarkable eelliptic curve
by: van Straten, Duco
Published: (2024)

Computing Gamma(p/q) with Beta function values
by: Lügering, Jan
Published: (2026)

Arrow graphs and their focal curves
by: Bos, Rogier, et al.
Published: (2025)

Catalan's conjecture is Mihăilescu's theorem
by: Klazar, Martin
Published: (2026)

An invitation to Fibonacci digits
by: Cheigh, Justin, et al.
Published: (2024)

On Amicable Numbers
by: Euler, Leonhard, et al.
Published: (2024)

A Study on the Number of Representations of an Integer into Certain Quadratic Forms
by: Kashyap, Kritika
Published: (2024)

Congruence properties of prime sums and Bernoulli polynomials
by: Pain, Jean-Christophe
Published: (2025)

Motivating Motives
by: Baez, John C.
Published: (2023)

Matrices with integer eigenvalues for all permutations of coefficients (thanks to Pythagoras!)
by: Hall, Michael J. W.
Published: (2026)

Pairwise Rational Points on a Parabola
by: Bomeisl, Kyle
Published: (2019)