Media Summary: Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast: Check out Brilliant ... Instructor: Jon Wilkening (University of California Berkeley) Date: June 11, 2026 Thematic Program on Shocks and Singularities: ... "If I get the next two digits right, I'll be ecstatic!" Simon says, as he hurries on with a φ (Phi)

Rational Approximation Spirals - Detailed Analysis & Overview

Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast: Check out Brilliant ... Instructor: Jon Wilkening (University of California Berkeley) Date: June 11, 2026 Thematic Program on Shocks and Singularities: ... "If I get the next two digits right, I'll be ecstatic!" Simon says, as he hurries on with a φ (Phi) James Maynard recently co-authored a proof of the Duffin-Schaeffer Conjecture. More links & stuff in full description below ... In this video we're implementing a simlpe algorithm to generate a sequence of For private use only. Rights belong to HSE (Higher School of Economics), Moscow, Russia.

The mystery of π and good and best approximations. I use the definition of "best We prove that sqrt{x^2 + y^2} can be approximated by 0.96x + 0.4y, with a surprisingly small percentage error of 4%, where x ≥ y ...

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Rational Approximation Spirals
Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations
The Golden Ratio (why it is so irrational) - Numberphile
Rational Approximations for functions - Pade Approximations
Rational approximation and branch cuts for standing water waves
Rational Approximations for φ
Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile
1.3 Rational Approximations
Computing good rational approximations to any real
NTI Rational Approximations
iNT 07 05 Rational Approximations of Irrational Numbers
Infinite fractions and the most irrational number
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Rational Approximation Spirals

Rational Approximation Spirals

An exploration of

Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations

Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations

A curious pattern,

The Golden Ratio (why it is so irrational) - Numberphile

The Golden Ratio (why it is so irrational) - Numberphile

Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast: https://youtu.be/-tGni9ObJWk Check out Brilliant ...

Rational Approximations for functions - Pade Approximations

Rational Approximations for functions - Pade Approximations

In this video I talk about

Rational approximation and branch cuts for standing water waves

Rational approximation and branch cuts for standing water waves

Instructor: Jon Wilkening (University of California Berkeley) Date: June 11, 2026 Thematic Program on Shocks and Singularities: ...

Rational Approximations for φ

Rational Approximations for φ

"If I get the next two digits right, I'll be ecstatic!" Simon says, as he hurries on with a φ (Phi)

Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile

Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile

James Maynard recently co-authored a proof of the Duffin-Schaeffer Conjecture. More links & stuff in full description below ...

1.3 Rational Approximations

1.3 Rational Approximations

Real Numbers

Computing good rational approximations to any real

Computing good rational approximations to any real

In this video we're implementing a simlpe algorithm to generate a sequence of

NTI Rational Approximations

NTI Rational Approximations

NTI Rational Approximations

iNT 07 05 Rational Approximations of Irrational Numbers

iNT 07 05 Rational Approximations of Irrational Numbers

For private use only. Rights belong to HSE (Higher School of Economics), Moscow, Russia.

Infinite fractions and the most irrational number

Infinite fractions and the most irrational number

The mystery of π and good and best approximations. I use the definition of "best

A Ridiculous Approximation

A Ridiculous Approximation

We prove that sqrt{x^2 + y^2} can be approximated by 0.96x + 0.4y, with a surprisingly small percentage error of 4%, where x ≥ y ...