DimensionsDate: 08/30/2001 at 20:52:22 From: Emily Subject: Dimension What are 1-dimensional, 2-dimensional, and 3-dimensional? What's the difference? Date: 08/30/2001 at 23:02:40 From: Doctor Peterson Subject: Re: Dimension Hi, Emily. Essentially, an N-dimensional object is one that requires N numbers to describe a location in it. A line is 1-dimensional, since one number, the distance from zero, tells you where you are. A plane is 2-dimensional, since you need x and y to locate a point. A circle (the curve itself, not the interior of it) is a 1-dimensional object in a 2-dimensional space, since although it takes 2 numbers to identify where in the plane a point on the circle is, only one number (the angle from a starting position) tells you where you are as long as you know you are on the circle. For 3 dimensions, here is a discussion I found in our archives: Is a Sphere 2-D or 3-D? http://mathforum.org/dr.math/problems/janice.8.8.96.html - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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