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Mathematics & other curiosities

Curiosity is
the new ingenuity.

When answers are abundant, the creative edge is knowing what to ask—and wanting to discover more.

What is the area of the shaded square?

The tilted square a b ? a2 b2

Four congruent right triangles. Two marked lengths.

Ways to explore

Follow a thread

A little time to play

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.

Play a puzzle

Latest posts

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Problem Solution included

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?

geometrypuzzles
Exploration

Four equal regions: two bisections and a turn

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.

geometrycountingpuzzles

A window into research

All research