Monthly Archives: August 2012

Girls’ Angle Bulletin, Volume 5, Number 6

The electronic version of the latest issue of the Girls’ Angle Bulletin is now available on our website. This issue represents 5 years of the Bulletin, which has come out on the last day of every even-numbered month since October … Continue reading

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A Geometric Iteration with a Sylvester-Gallai Guarantee

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One-Fold Origami Puzzle Raffle

This raffle is closed. Congratulations to Philip H. for being selected the lucky winner. Many thanks to all who participated! Here’s a chance for you for some chocolate from L. A. Burdick!

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Subscribe to the Girls’ Angle Bulletin

The Girls’ Angle Bulletin is our bimonthly math magazine. It contains articles on math, descriptions of mathematical activities, fun and challenging math problems, math-inspired art, interviews with women in mathematics, and more. Content is created by our members, staff, and contributors, … Continue reading

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Getting Pythagorean Triples with Hyperbolic Functions

In addition to parametrizing rational points on the unit circle, the matrix method, and one-fold origami, here’s a way to get the Pythagorean triples using the hyperbolic sine, cosine, and tangent.

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Folding Pythagorean Triples with Origami

The fascination with Pythagorean triples continues…so in addition to the method of parametrizing rational points on the unit circle and the matrix method, here’s another way to generate them using origami. To the best of my knowledge, the method was discovered … Continue reading

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Making Pythagorean Triples with Matrix Magic

I learned this method of generating Pythagorean triples in a graduate class at MIT taught by Victor Kac. I’m blogging about it now because I just discussed generating Pythagorean triples with a student (using the method of parametrizing rational points … Continue reading

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Donut…Mmmmmath…

Take a donut. Slice with a cut tangent to the donut through a point on its inner circle. What do you get?

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K-dimensional faces of an N-dimensional hypercube

How many K-dimensional faces does an N-dimensional hypercube have? The picture above shows that when N = 3, there are eight 0-dimensional faces (vertices), twelve 1-dimensional faces (edges), six 2-dimensional faces, and one 3-dimensional “face.” But what’s the answer in general?

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The Stable Marriage Problem

As often goes with math problems, let’s consider an unrealistic, simplified scenario which is, nevertheless, worthy of study. Imagine an island with 20 women and 20 men. The men and women want to pair up as wedded couples. So, each woman … Continue reading

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