Quote:
Originally posted by MacGnG
how i understand it all
4th demension: 3D but there is a plane that connects 2 other planes together WITHOUT intersecting the other plane.
hyperspace (program tutorial but intro to 4d)
pictures to help u understand:
klein bottle

see how this is just one big tube thingy. in 4d the "handle" simply connects to the bottom, but since we can only display 3d images it passes thru the side connecting to the bottom. the 4th dimension connects the handle and the bottom with out intersecting the side.
more pictures and some movies
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Cool. That figure only has one surface! Reminds me of the Mobius Strip. That doesn't really have any relevance to this topic, so I'll spare you a picture
I thought the 4th dimension was arbitrary? Such as... you can define an object by its length, width, height, and color. Or its length, width, height, and time at which it was created. Or it's texture... the third definition of the word
"dimension" at
http://www.dictionary.com/ states that a dimension can be an "aspect; element", which in my mind equates to "property". Is color not a property? Is texture not a property? I don't really know what I'm talking about. Sorry
