We all know parallel lines and you can think of parallel planes, but what about the third dimension?

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idk, I'm no mathematical genius but I made an A in 10th Grade Geometry, so..
Seems to me like "parallel" is a 1 or 2 dimensional concept, and that if you need to think in 3 dimensions at once then parallel is no longer a useful concept. Whatever you want to mean by it would need some other word, cause..
3 dimensions to infinity would encompass all space. For 3 parallel dimensions to make any sense you would have to have 2 identical spaces expanding infinitely into some common larger space.
Infinities nested within infinity. All my addled brain can come up with.
 
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It is easy to develop formal mathematical machinery to handle spaces of any finite dimension and hyperplanes in them, they teach this to undergraduates all the time. It's less easy to visualise in your brain what that might look like, but that's mostly OK because mostly you don't have to. (I had a colleague in a maths department who got, by his own account, pretty fluent at some five-dimension shapes, but that isn't at all typical.)

Impaling yourself on your own kebabs is not only optional it is worth discouraging, it seems to me.
 
Lay two 4x4 posts on top of each other and pound one into the other with a 4D sledgehammer.

Voila – they are parallel.
 
12Pack said:
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See? This is what I was describing.
Also, parallel is not limited to "side by side" as I see it. It can also mean coexisting. (to me)
So 3D parallel could be 2 spaces in the same space but at different times at the same time.
 
2manband said:
Time is like a 4th dimension ( and space and time are fundamentally the same thing)

So one cube exists now, and a different cube exists in that spot tomorrow.

Bam. Parallel 3 dimensional space analogy
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But what happens when we change the clocks for Daylight Saving Time Mr. Smartypants?

Are there two sharing the same space in that hour in Autumn and none at all during that hour in Spring?

Schrodinger's Hour?

And what about catiwompous lines?

I need answers!
 
smurfco said:
One time when I was young my dad grabbed a meat skewer off the grill and went to flip it around but it was too hot and he didn't realize it was hot so he threw it up in the air and it spun around and landed right in his calf muscle. He screamed "not again" and limped off to fix his leg up. Meanwhile the kebabs are burning on the grill and everyone is pretty upset and woried about his leg too.
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In a parallel three dimensional space, the skewer wasn't too hot and all the kabobs were cooked to perfection. Everyone enjoyed their dinner and was treated to a nice dessert afterwards when dad got in the ice cream.
 
You need to get out of the Euclidean space and get into some Einstein-fueled relativistic physics. Professor Dave explains...

 
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