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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 evennumbered month since October … Continue reading
Posted in math, Math Education
Tagged combinatorics, complex numbers, conformal, game theory, Girls' Angle Bulletin, Jean Pedersen, math problems, polynomials, ratios, roots, sums of powers
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A Geometric Iteration with a SylvesterGallai Guarantee
Posted in math, Math Education
Tagged geometry, iteration, lines, midpoints, points, SylvesterGallai
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OneFold 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!
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, mathinspired art, interviews with women in mathematics, and more. Content is created by our members, staff, and contributors, … Continue reading
Getting Pythagorean Triples with Hyperbolic Functions
In addition to parametrizing rational points on the unit circle, the matrix method, and onefold origami, here’s a way to get the Pythagorean triples using the hyperbolic sine, cosine, and tangent.
Posted in math, Math Education
Tagged cosh, geometry, hyperbolic functions, Pythagorean triples, sinh, tanh
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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
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
Donut…Mmmmmath…
Take a donut. Slice with a cut tangent to the donut through a point on its inner circle. What do you get?
Kdimensional faces of an Ndimensional hypercube
How many Kdimensional faces does an Ndimensional hypercube have? The picture above shows that when N = 3, there are eight 0dimensional faces (vertices), twelve 1dimensional faces (edges), six 2dimensional faces, and one 3dimensional “face.” But what’s the answer in general?
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
Posted in math
Tagged combinatorics, Emily Riehl, matching, ranking, stable marriage problem
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