Category Archives: fractals

Visualizing Pascal’s triangle remainders

In a comment on my previous post, Juan Valera mentioned something about visualizing multiples of prime numbers in Pascal’s Triangle: In college, there was a poster with different Pascal Triangles, each of them highlighting the multiples of different prime numbers. … Continue reading

Posted in fractals, modular arithmetic, pascal's triangle, pattern, pictures | Tagged , , | 15 Comments

Dimensions: go watch! now!

I finally got around to watching the Dimensions videos, which I mentioned once before. They are super cool and will be sure to blow your mind! They start by explaining some simple tools (stereographic projection) and intuition (with references to … Continue reading

Posted in fractals, geometry, links, video | Tagged , , , , | 2 Comments

Book review: Viewpoints: Mathematical Perspective and Fractal Geometry in Art

This book is certainly quite different from the sort I usually read and review—but I am always interested in new and creative ways to teach mathematics! This is quite a fun book. It’s all about visual art and some of … Continue reading

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Fractals without a computer

What happens when you hook up three projectors to a single video camera, and then point the camera at the projected images? RIDICULOUSLY AWESOME THINGS, that’s what!

Posted in fractals, video | Tagged , , , | 6 Comments

Battlestations!

The world’s LARGEST FRACTAL DORITO!

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Pentaflakes

Just a link today: Mike Croucher over at Walking Randomly has some gorgeous pictures of fractal constructions called “pentaflakes”, made by recursively gluing pentagons together in various ways. He’s also made a Mathematica demonstration for playing around with various sorts … Continue reading

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Carnival of Math #48, and Monday Math Madness #25

The 48th Carnival of Mathematics is posted at Concrete Nonsense. My favorite posts include Foxmath’s post about a strange iterated sequence involving pi and this amazing picture of a fractal cabbage. Also near and dear to my heart is Mark … Continue reading

Posted in challenges, counting, famous numbers, fractals, links | Tagged , , , , | 1 Comment

Mandelbrot Maps

Run, don’t walk, to play with the Mandelbrot Maps applet, which lets you play around with the Mandelbrot set while seeing the associated Julia sets updated in real time. This fantastic applet was created by Iain Parris, an MSc student … Continue reading

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Carnival of Mathematics #23: Haiku Edition

Welcome to the 23rd Carnival of Mathematics: Haiku Edition! First, I must apologize for the delay: I usually have very little trouble with my hosting provider, but of course it went down just when the CoM was supposed to be … Continue reading

Posted in algebra, books, calculus, challenges, counting, fractals, geometry, infinity, links, meta, number theory, pascal's triangle, pattern, people, sequences, trig, video | 17 Comments

Menger sponge video

Check out the following totally sweet video of zooming into a Menger sponge! This video was made by David Makin, who has lots of other cool images and videos at his website. You can probably figure out what a Menger … Continue reading

Posted in fractals, video | 6 Comments