Big Chiller
Registered Senior Member
A mathematical point represents zero dimension (sort of) but it cannot be said to be a continuum then it wouldn't be zero dimension.
Oh good grief.A mathematical point represents zero dimension (sort of) but it cannot be said to be a continuum then it wouldn't be zero dimension.
Easy. A position vector at (0,0,0) doesn't extend anywhere because it has no magnitude. But a vector also has direction. For the 0-vector this is undefined or "anywhere you like". Something like infinity being a number that's either as large as you like, or larger.Big C said:Do you believe the point extends in all physical directions and if it does how is it zero dimension ?
if 0=1 then 666=777
And, one more time. Learn to read.
A point is zero dimensions, despite pointing in all directions.
“ Originally Posted by river
disagree
give me a zero dimension , is the same as nothing ”
I don't understand your reply.
Or, you could think of it as a kind of physical position with an infinity of directions.Big C said:it can be thought of as a kind of infinity without physical directions.
That is not the definition of a non-integer dimension.An interesting concept are fractional dimensions such as 0.5-D. Based on the concept of fractional dimensions, 1-D would be an infinite line such as an axis on a graph which extends to infinity (---->). As the length of this axis becomes finite instead of infinite, the line becomes <1-D. When the line finally shrinks all the way to a point we get 0-D.
Incorrect. By defintion it's 2D.I was not talking about fractals but perceptual dimensions. For example, a small finite line and an infinite line are both considered 1-D, but the small finite line is closer to a point than it is to an infinite line in terms of perception
Also incorrect.Say we had something like a relief drawing, where the drawing is primarily in 2-D but parts of it have some extension in 3-D space. It would be more descriptive to call it 2.6-D.
Also incorrect.Say we had a 3-D drawing on a flat piece of paper. We call it 3-D but it is really on a plane so it is 2-D. But that would lead to confusion since we are trying to express 3-D. We might call that 2.3-D. At 2.5-D and over we get relief drawing but at 2.5-D or less it is on a plane but done with shadowing.