11/10/2009, 04:10 AM

I have a following puzzle.....

Let us have a semplice of volume-tetrahedron. Its volume is some number. Let us have some process where we require this volume in limit to reach 0 ( the volume) - e.g differential dP/dV.

Question: what happens with the form? what will be the form of the 0 volume?

Tetrahedron, sphere, point (what is that?) etc?

The same question applies to triangle as area simplice as its area is reduced to 0, and straight line as 1D semplice as its length is contracted to 0.

Will it still be a line with 0 length, or a point with 0 dimensionality?

Thank You in advance.

Let us have a semplice of volume-tetrahedron. Its volume is some number. Let us have some process where we require this volume in limit to reach 0 ( the volume) - e.g differential dP/dV.

Question: what happens with the form? what will be the form of the 0 volume?

Tetrahedron, sphere, point (what is that?) etc?

The same question applies to triangle as area simplice as its area is reduced to 0, and straight line as 1D semplice as its length is contracted to 0.

Will it still be a line with 0 length, or a point with 0 dimensionality?

Thank You in advance.