Best Answer plasmid, 04 March 2013 - 03:35 AM

Without any sort of formal proof, I think that these are all possible shapes. Although I haven't yet fully convinced myself that the last shape I drew actually exists. It seems like it should though.

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Guest Message by DevFuse

Started by bonanova, Mar 02 2013 10:59 AM

Best Answer plasmid, 04 March 2013 - 03:35 AM

Without any sort of formal proof, I think that these are all possible shapes. Although I haven't yet fully convinced myself that the last shape I drew actually exists. It seems like it should though.

Spoiler for

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11 replies to this topic

Posted 02 March 2013 - 10:59 AM

Here's a quickie ... should take about a minute.

If you draw four points on a paper, no three of them collinear, they define six line segments.

If the points lie on the corners of a square, four of the segments are of length 1, say, and two are of length sqrt(2).

How many different configurations of four points give edges whose lengths are one of two values?

- Bertrand Russell

Posted 02 March 2013 - 03:01 PM

Spoiler for got one i think

**Edited by hhh3, 02 March 2013 - 03:04 PM.**

alWaYs gaMe!!!

Posted 02 March 2013 - 05:28 PM

Spoiler for seems to me

Posted 03 March 2013 - 06:50 AM

There are more.

- Bertrand Russell

Posted 04 March 2013 - 03:35 AM Best Answer

Without any sort of formal proof, I think that these are all possible shapes. Although I haven't yet fully convinced myself that the last shape I drew actually exists. It seems like it should though.

Spoiler for

Posted 04 March 2013 - 06:38 PM

Without any sort of formal proof, I think that these are all possible shapes. Although I haven't yet fully convinced myself that the last shape I drew actually exists. It seems like it should though.

Spoiler for

Yes, these are the complete set.

The last one has a simple explanation.

Can you find it?

- Bertrand Russell

Posted 05 March 2013 - 01:37 AM

Do you know of any proof that this is a complete set?

Posted 05 March 2013 - 06:54 AM

The last one has a simple explanation.

Can you find it?

Spoiler for a hand-waving proof for Bonanova

I can prove it, although it's a bit brutish.Do you know of any proof that this is a complete set?

Spoiler for

Posted 06 March 2013 - 09:42 AM

Hands well waved. But here's a clue for another answer.

Spoiler for what if

- Bertrand Russell

Posted 08 March 2013 - 03:47 AM

Spoiler forYes, these are the complete set.

The last one has a simple explanation.

Can you find it?

Spoiler for Think of

- Bertrand Russell

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