I watched an interesting Ted Talk that got me thinking along a couple of avenues. Margaret Wertheim presented The beautiful math that links coral, crochet and hyperbolic space. Go ahead and watch if you have 16ish minutes. I'll wait. 

I have mused before that we know less about the universe than we like to think. For simple examples look at things like Dark Matter and Dark Energy... wonderful hypothetical constructs that we don't really understand that make up only 80ish percent of the universe... 

When you look at things like science fiction and thin

gs like space travel and teleportation in particular a good amount of suspension of disbelief is usually required. Well, when you look at some of the items that actually occur in nature maybe not. 

Margaret does a great overview of Euclidean Space (Planar), Spherical Space and finally Hyperbolic Space. For those that are not visual or auditory learners though here is a quick overview of getting from destination A to destination B in each space. 

• Euclidean Space (discovered by Euclid (go figure)) is essentially planar space. There is a whole lot of math involved in a full explanation but essentially it is the rule that given a strait line and a point the only line that can be drawn through the point and not go through the line is parallel to the original line and there is only ONE of those.
  
• Spherical Space is a similar math run but can be simplified to say that when you have a line drawn in spherical space and you have a point there are ZERO ways to draw a line that doesn't intersect from that point and the line.
• Hyperbolic space has even more math and if you go back just a little bit in time much of that math is proving that it is impossible. However, nobody ever told choral that so it uses it all the time. Following the line and point theory again this basically is the statement that given a line and a point there is an infinite number of lines that can cross the point without crossing the original. Margaret does a great tactile example of this with a demonstration of a simple crochet piece.

So, that was a lot of words and explanation to say we see this type of space in multiple ways. It is easy to jump to an explanation of "multi-dimensional" space being the answer but think about the web. You can get anywhere from anywhere with one simple button push. There may be a mess of routers and switches that do math in between but to you using your browser it's click and away nearly instantly. As the math for this type of space matures and we understand it better things like "folding space" and traversing large "distances" instantly may become a reality.

What fun to think about. All from something as simple as a piece of choral made out of crochet. Next time you watch grandma spin that yarn just think, she could be paving the way to space travel.