Hex: a game with no middle ground
Build a connection, challenge the computer, and walk a coastline to discover why Hex can never end in a draw.
gamestopologygraph theory
Mathematics & other curiosities
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curious thinking.
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Explore the notebook About the notebook ↗What is the area of the shaded square?
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Show the solution to rearrange the same four triangles. Undo returns to the previous arrangement. Reset restores the tilted square.
Four congruent right triangles. Two marked lengths.
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Puzzles, just for the fun of it.
Pick a game and settle in. Slide a block, fit a tile, or find a path across Hex.
From the notebook
View all postsThree utilities: from the plane to a mug
Connect three houses to gas, water, and electricity. The plane refuses—but a mug, a donut, and a square with joined edges reveal a way through.
topologygraph theorypuzzles
Lights Out: every light can be flipped
Play on a grid or a graph, reveal a solution, and discover why every pattern can be complemented—and why successful routes agree on parity.
combinatoricsgraph theoryparity
A window into research
All researchPaper / 2026
Strong Measurability and Adapted Approximations with Applications to Non-Markovian Control
Measurability and adapted approximation tools for metric-space-valued maps, with applications to path-dependent stochastic control.
Preprint
University of Calgary
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