A plain circle ' O ' is in one dimension, a sphere is three dimensions, is a Mobus strip a two dimensional circle/sphere? Is a Klein bottle a two dimensional surface or the first instance of a true surface? (by def a surface has x & y dimensions )
Do these forms carry on into more dimensions?
Please keep it simple, I'm only the question carrier!!!
2007-08-30 12:35:19 · 3 answers · asked by Michael K 1 in Science & Mathematics ➔ Mathematics
Wrong = a plain circle has TWO dimensions .. it has 'width' and 'height' ... (make these differ and you have an Ellipse)
ONE dimensional 'objects' have no physical existence .. they would have 'length' but no 'width' .. however even with the very thinnest pencil you are unable to draw a 'line' that has no width .. (even if you take it down to atomic scale).
A Mobius strip is a 2D expression of a closed surface, and exists in 3D.
A Klein bottle is a 3D expression of a closed surface ... such a closed surface can only really exist in 4D, so what you 'see' in 3D is only a 'projection' ...
2007-08-30 21:06:38 · answer #1 · answered by Steve B 7 · 0⤊ 0⤋
I'd disagree with Michael K about a circle being 2 dimenenional. What he is describing is the thickness of the media used to 'describe' or represent the concept of the circle, not the circle itself which is just a mathematical construct.
2007-08-31 06:04:08 · answer #2 · answered by andy muso 6 · 0⤊ 0⤋
Steve B, im with you, thank you. and Michael K, thanks for the question. i wanted to ask these myself but youve done it 1st.
2007-08-31 09:50:06 · answer #3 · answered by Mugen is Strong 7 · 0⤊ 0⤋