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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

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Problem Solution included

A set that shifts into its complement

Can arbitrarily small translations turn a subset of the real line into its complement?

real analysislinear algebraset theory
Exploration

From planar graphs to the five Platonic solids

Count vertices, edges, and faces; add a point at infinity; then discover why there are exactly five regular convex polyhedra.

geometrygraph theorytopology

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

Everyday productivity

Gadgets for work and study.

Timers, ambient sound, and practical tools for everyday tasks.

Explore gadgets

A window into research

All research

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