Would some enterprising HN’er please manufacture these? My wife would love this.
A puzzle that tiles infinitely across both sides, based on the Klein Bottle
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Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#12This would be even more awesome if the puzzle pieces were curved, so they'd form a Klein bottle when put together.
That would be INCREDIBLY awesome, considering that it would require pieces that have a curve in to the 4th dimension (or perhaps just pieces that could pass through each other). A Klein bottle is a 2-dimensional surface cannot be embedded in a 3-dimensional space without crossing.
While this is true mathematically, there is at least one project that emulates Klein bottles in 3D quite credibly:
Edit: You can even put in some liquid (the “hose” continues through the crossing). The fun part is getting it out again :)
Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#13Would some enterprising HN’er please manufacture these? My wife would love this.
They're available on the same site as the article: https://n-e-r-v-o-u-s.com/shop/line.php?code=12
Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#14I can buy a 1000 piece puzzle for $5 at walmart. Sure it's not nearly as cool as this but 236 pieces for $120? That's outrageous. I'd rather just have my money, thanks.
Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#15Earlier quoted context omitted.
That would be INCREDIBLY awesome, considering that it would require pieces that have a curve in to the 4th dimension (or perhaps just pieces that could pass through each other). A Klein bottle is a 2-dimensional surface cannot be embedded in a 3-dimensional space without crossing.
While this is true mathematically, there is at least one project that emulates Klein bottles in 3D quite credibly: http://www.kleinbottle.com Edit: You can even put in some liquid (the “hose” continues through the crossing). The fun part is getting it out again :)
There are lots of projects that do this (implement a Klein bottle with a crossing).
Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#16this is awesome and reminds me of the tiling puzzle from the book Anathem: http://anathem.wikia.com/wiki/Teglon or https://en.wikipedia.org/wiki/Penrose_tiling I would love to have a Penrose tiling puzzle set.
I'm at work right now, but give me a day and I will design that.
Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#17I want to see a jigsaw puzzle that results in a mobius strip.
Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#18I don't see how this is based on a Klein Bottle.
Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#19I don't see how this is based on a Klein Bottle.
If you imagine the surface that is formed when every possible connection between pieces is made simultaneously, that surface is a Klein bottle. Obviously, making all the connections simultaneously is not possible in 3 dimensions, without allowing the pieces to deform and intersect each other.
Re: A puzzle that tiles infinitely across both sides, based on the Klein Bottle
#20I want to see a jigsaw puzzle that results in a mobius strip.
Just take the Klein bottle one and change the shapes along the top and bottom (or left and right) edges so they no longer match up. Voila.