Naked Science Forum
General Science => General Science => Topic started by: imatfaal on 10/03/2011 19:24:46
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A Challenge to the NSRers
To explain, the net of a polyhedron is a plane diagram which shows the edges of a polyhedron which could be folded to create the polyhedron. As shown below the cube has eleven nets
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Now I see no reason that curved shapes should not have nets too - patterns on a piece of paper that when cut out and the edges are stuck together a three dimensional shape is formed.
The challenge is - what does the below piece of paper become when taped together. To be clear (it doesnt show in photo) the paper crosses over itself - ie one section goes under the other where is crosses. I guarantee it can be put together with no cutting or cheating - just quite a few bits of sellotape; and it makes a proper 3d object that encloses a distinct volume
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And as a hint - "it's all Geezer's fault"
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Geezer, is someone taking your name in vain? LOL. Thanks for comments. Joe L. Ogan
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"prismatic ring (http://imajeenyus.com/mathematics/20040820_prismatic_ring/index.shtml)" ?, or is it a prototype for Prince's "symbol" name (http://en.wikipedia.org/wiki/Love_Symbol_Album) in the 1990's [:)]
http://mathworld.wolfram.com/PrismaticRing.html
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A torus wrapped around a wine bottle. Now if we could only get the wine to go on forever.
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Got it!
It's one of those truss things they advertise in the Sunday Express.
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"prismatic ring (http://imajeenyus.com/mathematics/20040820_prismatic_ring/index.shtml)" ?, or is it a prototype for Prince's "symbol" name (http://en.wikipedia.org/wiki/Love_Symbol_Album) in the 1990's [:)]
http://mathworld.wolfram.com/PrismaticRing.html
Nice One RD! If you have time, I would love to know your thought process - or did you recognize it from a previous example?
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As you can see it only has one outside face that loops around 3 times and forms a equilateral triangular prismatic ring with a 120deg twist
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And, of course, it's all Geezers fault because a few weeks ago he asked can I also make a Mobius thingy with triangular cross section? (http://www.thenakedscientists.com/forum/index.php?topic=37303.msg344094#msg344094)
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A "few bits of sellotape"! Looks like the whole thing is made of sellotape [:D]
(I still think the truss idea is better.)