A set that shifts into its complement
Can arbitrarily small translations turn a subset of the real line into its complement?
Mathematics & other curiosities
When answers are abundant, the creative edge is knowing what to ask—and wanting to discover more.
Four congruent right triangles. Two marked lengths.
Problems to think about and explorations through mathematics, diagrams, code, and experiments.
02 /Games to play at your own pace. Slide a block, fit a tile, or find a path across Hex.
03 /Courses and topics explored in depth, with structured lessons, exercises, and interactive activities.
Can arbitrarily small translations turn a subset of the real line into its complement?
Count vertices, edges, and faces; add a point at infinity; then discover why there are exactly five regular convex polyhedra.
A little time to play
Pick a game and settle in. Slide a block, fit a tile, or find a path across Hex.
Everyday productivity
Timers, ambient sound, and practical tools for everyday tasks.
Paper / 2026
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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