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If the coil is a single-start helix, what you
are making is a toroidal slinky rather than
a Moebius strip. The key property of a
Moebius strip is that you start with a two-
sided surface and twist it so that the two
surfaces become one. |
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oh no, no doughnuts please... |
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my worry is that it will veer off to the left or right and just go in circles rather than a straight line. |
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nice pics, xavier but that's not right - the slinky looks like an ordinary slinky but at the end of its slink, it kinda turns backs on itself and moves on. |
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You need one of those never-ending Escher staircases, too. |
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wow, I'd love a 3-dimensional Escher staircase picture with a moebius slinky moving up and down - it would make a great halfbakery clock. |
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//nice pics, xavier but that's not right - the slinky looks like an ordinary slinky but at the end of its slink, it kinda turns backs on itself and moves on.//
But a half turn of a slinky produces no effect at all. |
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(-) Sorry, this is trying too hard. |
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Is a mobius slinky even possible? [xavier]'s illustrations (accomplished though they are) seem to show a slinky linked to it's own end and twisted in the middle. To make a mobius band you need a strip with two (or more sides) - a slinky approximates to a cylinder and has no sides. |
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I visualise this as comprising a flat strip as opposed to a thin round wire with a twist in it somewhere but I'm not sure where to place the twist. |
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In which case it would be möbioid - how it would walk I know not. |
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//I visualise this as comprising a flat strip as opposed to a thin round wire with a twist in it somewhere but I'm not sure where to place the twist.//
How about a rectangular spring that, like a paper mobius, is continuous with a single half-twist. |
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The cross-section of the spring is rectangular--like a strip of paper, but thicker. |
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is that like I said before? |
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Perhaps. But I thought you were talking about the cross-section of the wire, not the cross-section of the spring. |
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hmmmm, a more square cross-section... |
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yes, I was talking about the wire not the cross-section. |
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Needs more jam and bees... |
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It's just occured to me that a standard slinky is slightly möbioid anyway in that it has only one side. Well, I suppose it has an inside. Perhaps we need to construct a klein bottle slinky given the dimensions we are dealing with. Or a hyperkleinbottle slinky... |
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I've had another crack at illustrating the moebius slinky; see what you think. It's hard to show (with the software I'm using), but I'm pretty sure it has moebius quality (i.e. start drawing a continuous line on one side and end up on the other side). |
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I've used a helix with a half-twist as the basis of the design (three of these bent together to form a loop). |
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It might not make a particularly good toy, but I think it would make a pretty good sculpture. |
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EDIT: oops, I was using a helix with a full twist. I've added three more pictures, this time based on a half-twist helix. |
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I have to congratulate you on your drawings, I wish I could do that. |
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Me too, what's it done in, 3DMax? |
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Some interesting topologies going on there - both the rectangular slinky and the normal slinky with a twist in the... wire? I don't have a word for it... exhibit properties of both möbius bands and slinkies, but as you say they work better as shapes than as toys. |
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Could there be a Dance of the Moebius
Striptease Veil? |
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I use Rhino3d which, in my opinion, is the most user-friendly and easy-to-learn CAD software available. I was motivated to teach myself CAD after I found it was the only way I could communicate my ideas to others. |
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What bounces down stairs, on the bumps of its flairs
and makes a mobinkity sound?
Kaching kaching, it's all yang and no ying
You know that you want a Mobinky.
Mobinky, Mobinky,
A one sided perplexing ploy.
Mobinky Mobinky,
Two dimensional construct of joy.
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Rectangular section requires 1/4 twist. Still maintain it is a wheel. Nothing else works. |
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[2 fries] awesome, just awesome |
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Would it be possible to force the metal into the shape by using bi-metallic strips of metal, and then heating and cooling the toy respectively? |
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who the feck is zzyyfff? thanks for the link anyway. |
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