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Author Topic: From 2D to 3D. Can you tell what it is yet?  (Read 6129 times)

Offline imatfaal

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From 2D to 3D. Can you tell what it is yet?
« on: 10/03/2011 19:24:46 »
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



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



And as a hint - "it's all Geezer's fault"


« Last Edit: 10/03/2011 19:28:11 by imatfaal »


 

Offline Joe L. Ogan

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From 2D to 3D. Can you tell what it is yet?
« Reply #1 on: 10/03/2011 20:11:18 »
Geezer, is someone taking your name in vain?  LOL.  Thanks for comments.  Joe L. Ogan
 

Offline RD

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From 2D to 3D. Can you tell what it is yet?
« Reply #2 on: 10/03/2011 21:26:44 »
« Last Edit: 11/03/2011 02:02:29 by RD »
 

Offline grizelda

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From 2D to 3D. Can you tell what it is yet?
« Reply #3 on: 10/03/2011 21:53:36 »
A torus wrapped around a wine bottle. Now if we could only get the wine to go on forever.
 

Offline Geezer

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From 2D to 3D. Can you tell what it is yet?
« Reply #4 on: 10/03/2011 22:16:42 »
Got it!

It's one of those truss things they advertise in the Sunday Express.
 

Offline imatfaal

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From 2D to 3D. Can you tell what it is yet?
« Reply #5 on: 11/03/2011 10:39:50 »
"prismatic ring" ?, or is it a prototype for Prince's "symbol" name 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?



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




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?
 

Offline Geezer

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From 2D to 3D. Can you tell what it is yet?
« Reply #6 on: 15/03/2011 08:15:13 »
A "few bits of sellotape"! Looks like the whole thing is made of sellotape  :D

(I still think the truss idea is better.)
 

The Naked Scientists Forum

From 2D to 3D. Can you tell what it is yet?
« Reply #6 on: 15/03/2011 08:15:13 »

 

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