Is it possible to conceive of a shape consisting of non-existent parts?

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Is it possible to conceive of a shape consisting of non-existent parts?

2007-05-22 22:31:59 · 4 answers · asked by bonshui 6 in Science & Mathematics ➔ Mathematics

4 answers

A point.
It is that which has no dimension.
- Euclid's definition

2007-05-22 22:36:02 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 2⤊ 1⤋

The Klein bottle and the Mobius strip are probably in this category

2007-05-23 05:39:35 · answer #2 · answered by fred 5 · 2⤊ 0⤋

Well, the Klein Bottle and the Projective Plane are impossible to construct spaces, since they are self-intersecting. It depends on your definition of "shape".

Steve

2007-05-23 07:17:13 · answer #3 · answered by Anonymous · 0⤊ 2⤋

Sure. It's one power of the mind, to conceptualize.

2007-05-23 06:34:52 · answer #4 · answered by jsardi56 7 · 1⤊ 1⤋