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Harlan Brothers

Featured Book

Benoit Mandelbrot: A Life in Many Dimensions

Benoit Mandelbrot: A Life in Many Dimensions

A marvelous collection of articles, many by those who worked with Benoit, memorializing the remarkable breadth and depth of his work in science & art.

2014

Michael Frame, et al.

Michael Frame, Nathan Cohen

Stories

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John Coltrane’s Giant Steps Solo: Fractal Geometry in Action

Coltrane’s iconic solo is a wonderful example of a power-law in action

6d ago

John Coltrane’s Giant Steps Solo: Fractal Geometry in Action

6d ago

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Cat Math

Maxwell was mystified. Stokes was stumped. Until 1969, no one knew how cats always manage to land on their feet.

Jul 25

Cat Math

Jul 25

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Why is Aluminum Foil Only Shiny on One Side?

Considering I’ve been using it for decades, I suddenly found my ignorance alarming.

Jun 25

Why is Aluminum Foil Only Shiny on One Side?

Jun 25

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A King Among Rulers

The Golomb ruler is a mysterious and elegant combinatorial object with many real-life applications

Jul 15

A King Among Rulers

Jul 15

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Cantor’s Paradise

Seeing the Invisible

Abraham Wald and the power of the mind’s eye

May 1

Seeing the Invisible

May 1

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Cantor’s Paradise

The Bach Cello Suites: A Fractal Wonderland

Bach’s famous cello suites are a rich source of fractal structure

Jul 4

The Bach Cello Suites: A Fractal Wonderland

Jul 4

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The Riff

This Year in Song (1960)

A reflection of the times — commentary and a complete playlist of the Billboard Year-End Top 100

Jun 28

This Year in Song (1960)

Jun 28

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Cantor’s Paradise

Pascal’s Prism

First published in 2012, this 3-dimensional extension of Pascal’s triangle is a wonderland of significant number sequences

Jun 19

Pascal’s Prism

Jun 19

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Cantor’s Paradise

The Ultimate Guide to Recamán’s Sequence

Subtract if you can, add if you can’t — a simple rule leads to wild behavior and musical structure

Jun 10

The Ultimate Guide to Recamán’s Sequence

Jun 10

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Cantor’s Paradise

Pascal’s Triangle and Powers of e

The base of the natural logarithm is deeply woven through Pascal’s triangle — in an infinite number of ways!

May 31

Pascal’s Triangle and Powers of e

May 31

Harlan Brothers

Harlan Brothers

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Published Researcher | Mathematician | Composer | Educator | Inventor | Boosted 24X | Editor for Cantor's Paradise | Visit: www.harlanjbrothers.com

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