### Brain Teasers

# Folding Space

Riddle
Riddles are little poems or phrases that pose a question that needs answering. Riddles frequently rhyme, but this is not a requirement.

Not easily pictured am I.

Elusive like the breath of a sigh.

24 square faces in multiple dimensions and spaces.

8 cubes of ice for a drink that's quite nice.

32 edges; not silly green hedges.

16 vertices all bathing in the seven seas.

By 8 hyperplanes I am bound; yes my description is sound.

Elusive like the breath of a sigh.

24 square faces in multiple dimensions and spaces.

8 cubes of ice for a drink that's quite nice.

32 edges; not silly green hedges.

16 vertices all bathing in the seven seas.

By 8 hyperplanes I am bound; yes my description is sound.

### Hint

"A Wrinkle in Time"### Answer

A Tesseract.The tesseract is to the cube as the cube is to the square. It is four dimensional, as a cube is in three dimensions.

A tesseract is bounded by eight hyperplanes (xi = ±1). Each pair of non-parallel hyperplanes intersects to form 24 square faces in a tesseract. Three cubes and three squares intersect at each edge. There are four cubes, six squares, and four edges meeting at every vertex. All in all, it consists of 8 cubes, 24 squares, 32 edges, and 16 vertices.

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