Search Me

Recent Posts
 Girls’ Angle Bulletin, Volume 10, Number 4
 Math Intuition Test
 Girls’ Angle Bulletin, Volume 10, Number 3
 Happy New Year 2017!
 Girls’ Angle Bulletin, Volume 10, Number 2
 Chebyshev Polynomials of the First Kind
 Potatoes are made of ducks
 Girls’ Angle Bulletin, Volume 10, Number 1
 Measure Up – A Crossword Puzzle Raffle
 Virtual Reality!
 Girls’ Angle Bulletin, Volume 9, Number 6
 Girls’ Angle Bulletin, Volume 9, Number 5
Categories
 applied math (3)
 Contest Math (24)
 gender issues (9)
 math (109)
 Math Education (89)
 Uncategorized (19)
 WIM videos (4)
Archives
 April 2017 (2)
 February 2017 (1)
 January 2017 (1)
 December 2016 (2)
 November 2016 (1)
 October 2016 (2)
 September 2016 (1)
 August 2016 (1)
 June 2016 (1)
 April 2016 (1)
 February 2016 (2)
 January 2016 (1)
 December 2015 (1)
 October 2015 (1)
 September 2015 (1)
 August 2015 (2)
 June 2015 (2)
 May 2015 (1)
 April 2015 (1)
 March 2015 (1)
 February 2015 (2)
 January 2015 (1)
 December 2014 (2)
 October 2014 (1)
 September 2014 (1)
 August 2014 (1)
 July 2014 (1)
 June 2014 (2)
 May 2014 (1)
 February 2014 (1)
 January 2014 (4)
 December 2013 (1)
 November 2013 (2)
 September 2013 (2)
 August 2013 (1)
 July 2013 (2)
 June 2013 (1)
 May 2013 (1)
 April 2013 (3)
 March 2013 (1)
 February 2013 (2)
 January 2013 (2)
 December 2012 (2)
 November 2012 (2)
 October 2012 (3)
 September 2012 (8)
 August 2012 (10)
 July 2012 (7)
 June 2012 (3)
 May 2012 (3)
 April 2012 (7)
 March 2012 (4)
 February 2012 (3)
 December 2011 (4)
 November 2011 (7)
 October 2011 (11)
 September 2011 (13)
 August 2011 (16)
Everything Math
AIME angles arctangent area calculus CEO Chebyshev polynomials chocolate circles combinatorics complex numbers conformal crossword cubes dates derivative Emily Riehl exponentials Fermat's little theorem finite fields geometry Girls' Angle Girls' Angle Bulletin girls and math infinite geometric series irreducible polynomials Jean Pedersen Julia Zimmerman Kate Jenkins learning linear algebra logic mass points math math contests Math Doctor Bob mathematicians math event math games math magazine math prize for girls math problems math trivia math videos minimal polynomials multiplication optimization origami palindromes parabolas permutations perspective drawing probability puzzle Pythagorean theorem Pythagorean triples quadratic raffle contest roots science similarity sine stereographic projection sumit telescoping sum tennis tilings trapezoid triangles trigonometry USWIM variables Vieta's formulas volume Women's History Month
Tag Archives: optimization
Conceptual Solution to 2008 AIME I, Problem 14
Here’s a solution to problem 14 on the 2008 AIME I contest that attempts to avoid computation as much as possible. Sometimes, it’s an amusing exercise to try to solve a contest problem entirely in your head. Doing so often forces … Continue reading
Posted in Contest Math, math
Tagged AIME, circles, ellipse, geometry, optimization, tangent
Leave a comment
2013 AIME 2 Problem 10
I’ve been asked about the following problem from the 2013 AIME 2 a few times, so I decided to blog a couple of solutions for it: Given a circle of radius , let A be a point at a distance from … Continue reading
Bouncing in a UShaped Gallery
Consider the Ushaped hallway illustrated above. All angles are right angles and the numbers indicate the lengths of various walls. The figure is not drawn to scale. The problem is to send a point sized billiard ball located at the … Continue reading
Two Lady Bug Path Problems
The other day, I noticed a bunch of lady bugs walking in the grooves of a tiled floor.
Posted in math, Math Education
Tagged distance, geometry, optimization, paths, taxicab metric
1 Comment
Greedy Clams – Solution
Here’s a solution to the Greedy Clam problem that was inspired by Luyi’s “Satiated Clam” geometry problem.
Greedy Clams
Here’s a problem inspired by Luyi’s “Satiated Clam” problem. (Her problem makes me think of a clam with the biggest possible pearl inside.) The problem begins with the same setup as hers. Let ABCDEF and ABC’D’E’F’ be two regular hexagons with unit … Continue reading