### 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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## Comments

I got the idea for this one after reading "A Wrinkle in Time."

Here DB this site might help to show the Tesseract.

http://dogfeathers.com/java/hyprcube.html

Interesting teaser.

http://dogfeathers.com/java/hyprcube.html

Interesting teaser.

good job!

i did not get it, it was hard

that was very hard, but it was a good one learned something new thanks!

ow. too much thinking durning summer vacation.

This was a terrifically stated teaser, for the answer. I can admire your math skills, but it is apparent to anyone who has taken enough math. I did enjoy your teaser. The title is good, too.

I liked it! Nice job. It was kinda tricky... I had to read it through a few times and use the hint to get it, lol.

i agree with josty i didn't get it either

HA! I fooled you all my math skills suck

A Tesseract?

You're a nerd.

You're a nerd.

I've never heard of a tesseract, and in the real physical world there is only three dimensions.

very hard.

very hard.

the hint gave me the answer. lol.

i had no idea what it was until i read the hint.

i had no idea what it was until i read the hint.

Awesome! I guess being a reading crazed person pays off. I got it when I read the hint hehe. Excellent teaser!

Nothing personal, but I don't like the teasers that require abstract and obscure knowledge where you have either heard of it or you haven't.

I only got this because of the hint. If you've ever read the book, you're bound to get this one right.

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