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Where did all these dowels come from?


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28 replies to this topic

#21 curr3nt

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Posted 16 October 2012 - 03:12 PM

So... is it possible to get less than 34?
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#22 Prof. Templeton

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Posted 16 October 2012 - 05:11 PM

So... is it possible to get less than 34?


Yes. pg may be on the road to a more efficient solution with a small modifications to his current design. I'm glad to see he didn't make the common mistake of trying to join the connections (circled) on the bottom and eliminating a number of supports on the top.

Spoiler for Wrong!

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#23 plainglazed

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Posted 17 October 2012 - 04:46 PM

Spoiler for 33?

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#24 bonanova

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Posted 17 October 2012 - 10:14 PM

OP says "Without bending, breaking or overlapping dowels, only connecting them at the ends ..."
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#25 CaptainEd

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Posted 17 October 2012 - 10:42 PM

I see that other solutions have had the triangles impinge on the square, without connecting to it.

My question about the 33 solution is that I imagine the top and bottom squares collapsing to the left and right respectively, while still remaining pinched between the crab claws. So I think the squares are not actually firmed up.
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#26 Yoruichi-san

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Posted 17 October 2012 - 10:52 PM

I've been trying to avoid thinking about this since I can foresee not getting any work done for the next week...*whistling*

Spoiler for My mafia instincts are kicking in...

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#27 plainglazed

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Posted 17 October 2012 - 11:59 PM

My question about the 33 solution is that I imagine the top and bottom squares collapsing to the left and right respectively, while still remaining pinched between the crab claws. So I think the squares are not actually firmed up.


Yeah, had similar concerns. Finally just went with it assuming the two squares shared a dowel and acted as if hinged as per the op. so if they collapsed, they would need to remain congruent parallelagrams and the claws would not permit. Even if it were to qualify, strongly doubt it's optimal.
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#28 curr3nt

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Posted 18 October 2012 - 12:30 AM

I don't think the triangles would prevent the squares from moving right or left. The triangles only keep the distance between them from exceeding one unit but collapsed the distance between those two lines would still be one unit. It would stop collapsing when the top line is inline with the triangles point.
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#29 Prof. Templeton

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Posted 19 October 2012 - 05:01 PM

Yes, it looks like that 33 solution is unstable. Although not optimal, I will give a hint to a better solution.

Spoiler for Imagine

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