How cool are these ?

[Toddy]

I've been surfing Bathsheba's stuff and the Kleinbottle site on and off all night.

I find these 3D shapes fascinating, like the microscopic plankton

http://www.bathsheba.com/math/

http://www.kleinbottle.com/

cheers,
Toddy

[southey]

Oh very cool! the 120 cell is the zen engineers version of the carved ball in a ball in a ball, i be scared to own a Klein bottle purely for the amount of beer soaked clothes when trying to concur my fears of dimensional drinking,

[Toddy]

I find modular origami as fascinating I think it's the mental exercise of conceiving how to turn a 2D sheet into a 3D structure, using individual elements that attracts me.

http://kusudama.wordpress.com/

Beautiful aren't they ?

atb,
M

[southey]

Fantastic, I now have my "on detatchment thing to learn" cheers Toddy

[firecrest]

i wish I understood the maths abit better. I feel like a dunce now.
Triply Periodic Minimal Surface? 4 dimensional?

I thought time was the 4th dimension?

[xylaria]

They are stunning. The borromean ring looks like a spore.

I have no understanding of the maths involved but I could nalbind the scarf and the hat. The mobius scarf is very easy to nalbind, it something that most beginers make by error by putting twist in when joining the ends. I could nalbind a kleine hat, I can't work out how to knit either.

[Cobweb]

Wow, the metal sculptures are just gorgeous, again how do you find these wonderful things Toddy, you have a touch of internet guru about you!

[gregorach]

Ooh, very nice... I've been fancying one of those Klein bottles for ages, but I'm having trouble coming up with a convincing reason to buy a zero-volume manifold... And now I want to buy expensive mathematical sculptures too.

[TeeDee]

Wow!! What would this be then?

'Geek Sleek'!???

[Toddy]

I'm a computer clutz (though my sons are net gods/ bogon sinks/ urc cops ) but I love engineering. I love good design and the interaction between the two can leave me entranced

My Grandpa made me a gold wire mandala when I was a toddler. It had amethysts from the Ochils threaded onto it. It was my best shiny toy
I reckon it's his fault my mind opened up this way

Hoberman sphere's and braintwists I can play with for hours.

Origami is a quiet contemplation thing; I'm of the school of thought that the actual making is the origami, not necessarily the finished piece.

cheers,
Toddy

[sirex]

i wish I understood the maths abit better. I feel like a dunce now.
Triply Periodic Minimal Surface? 4 dimensional?

I thought time was the 4th dimension?

from what i understand. Science has simplified alot of maths by combining the 4 you mean (length, width, height, time) into one... "spacetime". Hence the numbers confuse a lot of people

first paragraph from http://en.wikipedia.org/wiki/Spacetime should help explain.

[locum76]

How would these cross over to bushcraft then? the kkk (klein kelly kettle) or the klein hammock?

i suppose getting out of a klein hammock would be a problem if you needed to pee in a hurry? or maybe you would ceace to exsist if you got inside one given it is a zero volume manifold, then technically you would have zero volume...

hmmm, i need to give this more thought.

[BorderReiver]

Wow, the metal sculptures are amazing.

Pity about the (fully justified) price.

[Shewie]

Thanks for sharing Mary

The wife will be interested in seeing these for her classes at college.

[Toddy]

How would these cross over to bushcraft then? the kkk (klein kelly kettle) or the klein hammock?

i suppose getting out of a klein hammock would be a problem if you needed to pee in a hurry? or maybe you would ceace to exsist if you got inside one given it is a zero volume manifold, then technically you would have zero volume...

hmmm, i need to give this more thought.

Funnily enough I was wondering about the kelly kettle too and an insulated tent
Coloured so that as light or shade shone through the fabric it created a kind of reactive camoflage.........maybe ?

cheers,
M

[gregorach]

It's very difficult to get anything "into" or "out of" a Klein bottle. Certainly wouldn't want to try it with boiling liquids.

(I put "into" and "out of" in scare quotes because a Klein bottle doesn't actually have an inside as such.)

[Toddy]

Yeah, and if you plug it, it makes a bomb I was actually wondering about heat exchange.........like the old ice cream makers........bushcraft ice cream

I don't think the klein bottle would work for that though The cream would need to be in the outside inside of something shaped like the tankard.........I think

cheers,
M

[firecrest]

from what i understand. Science has simplified alot of maths by combining the 4 you mean (length, width, height, time) into one... "spacetime". Hence the numbers confuse a lot of people

first paragraph from http://en.wikipedia.org/wiki/Spacetime should help explain.

I see. It says the bottle is not a true Klein bottle because that needs the bottle to pass through itself without the means of a hole - true four dimensions, or time in otherwords.

[scallywag]

How cool? Super cool, especially this metal stuff.

[gregorach]

Actually, the whole Klein bottle thing is based on the idea of four spatial dimensions, not Einstein's time-space continuum. Topology can be generalised to any number of dimensions you like - it's all just maths.

[firecrest]

Oh right.

And here was me thinking I had grasped something smart

[jojo]

Actually, the whole Klein bottle thing is based on the idea of four spatial dimensions, not Einstein's time-space continuum. Topology can be generalised to any number of dimensions you like - it's all just maths.

Dr Who?? Is it you??

[BigShot]

Here's a cheaper Klein alternative to those who want something with that level of geek-cool but can't afford that metalwork.
http://www.kleinbottle.com/klein_bottle_hats.htm
A bit useless at this time of year but winter will come again.

Mobius Strip Scarves and Klein Bottle Hats.
I've never seen this as a selling point for a hat before...
Genus 1 ... so there's exactly one topological hole. You can secure this hat with a Kryptonite Lock. Other hats, being genus zero, can't be locked.

In fact - the "features" list is really very funny.
Or maybe I'm a bigger nerd than I tend to let on

[demographic]

Not quite the same but if you look up some of the designs of Richard Buckminster Fuller (I have a book based on his patent aplications and designs) you might be interested in his geodesic domes, spheres and tensegrity structures, they have a very high strength to weight ratio.
He even created a method of cartography called his Dymaxoin map which produced less distortion when layed out flat than traditional projections and also designed an energy grid to lessen the amount of energy lost through transmission. Of course it never got built because politics and national bounderies got in the way but at least the bloke was trying.

Also pollen grains are fascinating shapes when you see electron microscope pictures of them.

The Nikkon small world gallery is worth a good look through also