Cutting a cube
How many straight cuts does it take to separate a cube into 27 unit cubes, even if you can rearrange the pieces?
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.
How many straight cuts does it take to separate a cube into 27 unit cubes, even if you can rearrange the pieces?
Two easy bisections leave one imbalance. A quarter-turn suggests how to remove it—but we must account for the jumps in a point count.
A little time to play
Pick a game and settle in. Slide a block, fit a tile, or find a path across Hex.
Paper / 2026
Measurability and adapted approximation tools for metric-space-valued maps, with applications to path-dependent stochastic control.
Preprint
University of Calgary
Explore this work