Polygon landscape: pyramid mountains, cone trees, box-shaped houses, cube clouds raining tiny tetrahedra, a large glowing icosahedron, and the equator, the planet’s only circle, laid out like a monument

Planet

Polygon

On Polygon there are no improvised curves. Everything is made of polygons and solids: the mountains are pyramids, the trees are cones, the houses are rectangular boxes, and even the clouds are cubes floating placidly across the sky, sometimes in a checkerboard formation. When it rains, it rains tetrahedra, small and harmless.

The inhabitants, the Polygonians, measure angles and diagonals the way we check the temperature, and they greet each other by tracing shapes in the air. The only circle on the planet is the equator, and the Polygonians are rather proud of it: they treat it as a national monument, and heaven help anyone who calls it “just a curved line.”

Dord finds Polygon reassuring, although he complains that some of the triangles aren’t perfectly equilateral. Liz tried to improvise a little dance, but was politely informed that her steps had to trace a regular hexagon. M00N, being round, became an instant celebrity: everyone wants a selfie with her, the most famous moon on the planet of polygons.

Riddles from this planet

  • On Polygon, an elderly hexagon-headed alien challenges the crew with six matches scattered on a small table

    Six Matches

    With six matches, and without bending or breaking them, can you make four equilateral triangles? A classic from Polygon.

  • Nine glowing lanterns arranged in a three-by-three grid in a field on Polygon, with Liz wielding a giant pen and Dord sulking

    Nine Dots

    Nine dots arranged in a square and four straight lines drawn without lifting the pen: can you connect them all?