Exploring Mathematics

Discovering patterns, solving puzzles, and unveiling the elegant structures that underlie our world. As a volunteer mathematics teacher, I create resources to help students appreciate the beauty and interconnectedness of mathematical concepts.

Featured Explorations

Curated collection of mathematical adventures

Islamic Geometric Patterns

My implementation of some of the ideas in Python from the book - Islamic Geometric Patterns

A surprising polygon formula

Problem of the Week from Stan Wagon.

142857 - A remarkable number

Surprising properties of cyclic numbers.

Knights on a chess board

The power and beauty of Markov Chains.

Inversion - A beautiful idea from Geometry

A few problems illustrating the power of inversion.

Unusual Crossword

An unusual crossword based on the first 30 digits of pi.

Weighted Distance Puzzle

Exploring weighted distance metrics and optimization

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Bedlam Cube

Solving the Bedlam Cube puzzle using computational methods

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Putnam 2024 Solutions

My solutions to two problems from the 2024 Putnam Exam

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BMO/CMO Problems

British and Canadian Mathematical Olympiad problems

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Cherry Blossom Puzzle

Elegant geometric puzzle

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Cozy Circles Puzzle

Inscribing circles in regular polygons

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Fiddler Puzzle

Mathematical puzzle from The Riddler

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Hottest NYT Puzzle

New York Times puzzle solution

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Browse complete archive →

Books

Comprehensive problem-solving guides

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Problem-Solving Through Problems

Solutions to Loren C. Larson's classic problem-solving text

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Mathematical Problem Book

Solving challenging problems using Mathematica

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High School Mathematics Problems

Curated collection for secondary school students

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Riddler Puzzle Solutions

Comprehensive collection of solutions to FiveThirtyEight's Riddler puzzles

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Solving Logic Puzzles

Complete guide to systematic logic puzzle solving

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GCSE Physics

Physics study guide for GCSE level

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Free for educational use. All materials available for students and educators. Questions? Get in touch.