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Fractal Shoe Treads
With infinite grip
  (+21, -3)(+21, -3)
(+21, -3)
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Due to the nature of fractals, their edges are infinite in length, because you can always add another iteration.

Raised fractal patterns on the shoe would provide very good grip, due the infinite number of tiny gripping edges.

It would also leave very interesting footprints.


DesertFox, Dec 09 2005


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       Awesome.

migennes, Dec 09 2005
  

       and when you took them off would this be called "a fractical shoe loosen "? +

xenzag, Dec 09 2005
  

       A pair of Mandelbrot brothel creepers for me.

wagster, Dec 09 2005
  

       Nice idea - but how long does it take to make the mould for the treads?

Dub, Dec 09 2005
  

       Love the idea, but [Dub]'s question is priceless. If only I could get my own engineers to think about design for manufacture...

normzone, Dec 09 2005
  

       Gissa-job!

Dub, Dec 09 2005
  

       "very good grip" - actually, per the gecko's foot, I think you'd have a hard time lifting your feet at all, as it would bond to the floor.

DrCurry, Dec 09 2005
  

       Good good stuff, [Dfox]. I wonder if an enormous fractal could be stamped in a huge rubber sheet, then soles cut from this. No two soles would be alike, though all would be similar. If there was someway to generate the fractal directly on the rubber (perhaps diffusing oil on the rubber, or a growing crystal) that would be a magnitude cooler.

bungston, Dec 09 2005
  

       would the gluey thing get less as it all got smaller?   

       +1

po, Dec 09 2005
  

       K, Q, and X?   

       Edit: Ahh, Idea title starting letters, I have every letter but K, Q, and X. Aha!

DesertFox, Dec 09 2005
  

       Big fractal, bounding through the snow!   

       "what can this foot print mean?" +

skinflaps, Dec 09 2005
  

       'Twas the Yetibrot!"

wagster, Dec 09 2005
  

       The shoe print of God.   

       Hah!

DesertFox, Dec 10 2005
  

       Not to be a spoilsport, but wouldn't the finer iterations wear away in minutes, leaving less and less fracticality every day?

GutPunchLullabies, Dec 10 2005
  

       it takes quite a bit of time to wear through an infinite tread.

daseva, Dec 10 2005
  

       A shoe print so unique, you could NOTARISE whatever you stepped on.   

       Swank. [+]

Letsbuildafort, Dec 10 2005
  

       Mandelbrot, the new Paisley for the trendy mathematician.   

       I've always wondered why fractals were said to be infinite in edge length. Has anyone proven that they don't converge to some finite number?

RayfordSteele, Dec 11 2005
  

       Would the infinite edge be infintely hard to clean when you stepped in finite doggy-doo?

energy guy, Dec 11 2005
  

       Just spray it with an infinite amount of water!

DesertFox, Dec 11 2005
  

       Wouldn't the "infinite length" in this case be analagous to an infinite geometric sequence, in that it does converge to a number, but never actually reaches it?

Cuit_au_Four, Dec 11 2005
  

       Depending on which type of fractal you use, the change in edge-length varies. A good example is the sawtooth fractal, which doubles ever iteration.   

       Ahhh, remember Pratchett on 7-league boots, and their proper use?

DesertFox, Dec 11 2005
  

       I can see this working down several levels of fractility, but after about ten levels, wouldn't the texture of the rubber soles exceed the fractal pattern? +

Sparty, Dec 11 2005
  

       Thank you, Sparty. Well asked.

baconbrain, Dec 12 2005
  

       It would of course. Fractals are only infinite in length conceptually and mathematically. As soon as you introduce them to the real world all that infinite stuff gets ignored by atoms and the like.

wagster, Dec 12 2005
  

       A friend once claimed that the M25 is a fractal, for although it encloses a finite area (Greater London), it takes a near infinite amount of time to traverse, and must therefore be infinitely long.

coprocephalous, Dec 12 2005
  

       If you can create an infinite series in reality, please let me know.

Antegrity, Dec 12 2005
  


 
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