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- Thread starter wolfpax50
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I do like that lecture on the discrete/continuous nature of spacetime. Thanks for the link Naty1!

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DaveC426913

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The one dimensional line can be curved in more than one dimension, but the line remains one dimensional.

What defines it as one-dimensional is that, no matter how much you twist, turn and tie it into a knot, it still only takes a single coordinate to uniquely define a point on it.

In the same sense the surface of a sphere, while it is curved in thee dimensions, is still only a two dimensional surface - you only need two coordinates (eg. latitude and longitude, or x and y) to uniquely define any point on it.

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hmm, okay, thanksThe one dimensional line can be curved in more than one dimension, but the line remains one dimensional.

What defines it as one-dimensional is that, no matter how much you twist, turn and tie it into a knot, it still only takes a single coordinate to uniquely define a point on it.

In the same sense the surface of a sphere, while it is curved in thee dimensions, is still only a two dimensional surface - you only need two coordinates (eg. latitude and longitude, or x and y) to uniquely define any point on it.

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