Basic (?) Mathmetics
Do you agree with these statements?
1) A 1 dimensional line is a collection of 0 dimensional points all stacked upon each other.
2) A 2 dimensional plane is 2 1 dimensional lines intertwined to form the origin then other lines stacked upon each other vertically and horizontally.
3) A 3 dimensional space is many 2 dimensional plane stacked upon each other to form height.
4) Dimension is the least number of coordinates to locate a point.
**Sorry if the wordings are not very...er...exactly the best.
1) A 1 dimensional line is a collection of 0 dimensional points all stacked upon each other.
2) A 2 dimensional plane is 2 1 dimensional lines intertwined to form the origin then other lines stacked upon each other vertically and horizontally.
3) A 3 dimensional space is many 2 dimensional plane stacked upon each other to form height.
4) Dimension is the least number of coordinates to locate a point.
**Sorry if the wordings are not very...er...exactly the best.
posted by James Yu at
7:22 PM
5 Comments:
Nr. I stimmen nicht zu(no. i don't agree(in german))
No. In our dimensional space, there's nothing that's not 3D.
You can not add or stack something that's not 3D.
You can imagine, and describe other types of space, but you can't actually, physically, act on any of them.
No. I do not agree.
#1: A one dimensional line is the "translation" between any two points. space is infered, but not required. (If it helps - remember that "dimension" is another word for "measurement"; look it up...Space is not the only thing that can be measured.)
#2: I can not follow what you wrote here, but a 2-dimensional plane can be construced by dimension-ing or "measuring" any two corralary or non-corralary phenomenon. (e.g. - picture a 2D graph of, say, change in color vs. change in temperature. Space is not involved in this color/temp. example. Yet you can create a continuum from the two and extrapolate a past and future color/temp. state - or a measure in "2-dimensions".
#3: This is becoming hack. But, to cary the point further, 3-dimensions are just the translation (or measurement) or location between any 4 measurements - say, color/temp vs. frequency/Amps. (Again, space is not measured here, but any color/temp/freq./amp. "location" can be expressed in 3-"dimensions".)
#4: You can locate a "point" on a one dimensional line. To "locate" a point all you need is another point.
nope
Why would the 2 dimensional plane be made of exactly 21 lines? It's made of and infinite number of 1 dimensional lines crossing over each other, with no blank spaces.
At least it's what I learned here in Brazil.
But I agree with Ragknot, it's only theory, it can't be applied to real life. Not even an electron can be 0 dimensional as a point is.
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