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## Main Question or Discussion Point

**Math cake!!! Ideas Answer before 11 pm on 3-10-2010..**

Can u help me? I need a great idea for a math cake. Please help me, i have been racking my brains!!! If u answer, write in detail please...

- Thread starter Adi123
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- #1

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Can u help me? I need a great idea for a math cake. Please help me, i have been racking my brains!!! If u answer, write in detail please...

- #2

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Does it have to be a cake?

If you baked a cherry pie in a square tin you could label it "pie are square".

- #3

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Make a layer cake (layers progresively smaller like a wedding cake) with a dowel running through the center. Bring two empty plates each with a similar dowel and announce nobody gets a piece until The Towers of Hanoi is solved.

- #4

berkeman

Mentor

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Sounds like school work. What is the context of your question? What are your ideas so far?Can u help me? I need a great idea for a math cake. Please help me, i have been racking my brains!!! If u answer, write in detail please...

- #5

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Then again, there's Fermat's Little Torte.

Start with a 5x5x5 cube of cupcakes.

Remove one corner column (1x1x5) and note the remaining cupcakes can be divided by 3 (24 1x1x5 columns).

Reassemble into a 4x4x4 cube.

Remove another corner column and note they can still be divided by 3 (15 1x1x4 columns).

Reassemble as a 2x2x2 cube, remove a corner column and they are still divisible by 3 (3 1x1x2 columns).

When someone says "Hey, what about the 3x3x3 cube?", you sheepishly admit you can't do that because the 8 remaing 1x1x3 columns can't be divided by 3. And then amaze them by dividing the cube into three equal layers!

If everyone hasn't overrun the table to grab a cupcake by now, demonstrate it works in two dimensions also.

- #6

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hahahaSounds like school work. What is the context of your question? What are your ideas so far?

- #7

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current ideas:

sigma

pie symbol (too much used)

can spell stuff out in iceing or bubble gum

- #8

CRGreathouse

Science Advisor

Homework Helper

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How about a proof without words?

Barile has a nice one for pentagonal numbers at MathWorld.

There are many good ones for the Pythagorean Theorem; here is one of the oldest known:

(expanation here).

More examples:

http://www.usamts.org/About/U_Gallery.php

http://demonstrations.wolfram.com/ProofWithoutWords12N1NChoose2/

http://mathoverflow.net/questions/8846/proofs-without-words

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