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Student Support Forum: 'Find smallest & Largest xyz Points (#2)' topicStudent Support Forum > General > Archives > "Find smallest & Largest xyz Points (#2)"

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Bill
08/27/08 3:09pm

Hi:


Example:


A.) Find the smallest and greatest individual xyz coordinate point values, for the sets of points generated by:

data = Table[{3*Cos[t], 3*Sin[t], 2*t}, {t, 0, 30}] // N

(* Grid[data, Alignment -> Decimal] <-This line is just for displaying the output in an easy to read form.*)

B.) Identify the coordinate sets that contain the lowest and greatest xyz values:

(*I arrived at the following by making visual comparisons of "data".*)

The least and greatest coordinate values for x are: -2.99988 and 3.
The coordinate sets that contain the least and greatest x coordinates respectively are:
{-2.99988, -0.0265539, 44.} and {3, 0, 0.}.

The least and greatest coordinate values for y are: -2.99997 and 2.97182.
The coordinate sets that contain the least and greatest y coordinates respectively are:
{0.0132771, -2.99997, 22.} and {0.410212, 2.97182, 28.}.

The least and greatest coordinate values for z are: 0 and 60.
The coordinate sets that contain the least and greatest z coordinates respectively are:
{3, 0, 0} and {0.462754, -2.96409, 60.}.


Question: How do I code Mathematica to find and return the smallest and greatest coordinate point values for the x,y and z coordinates respectively, and the coordinate sets that contain them?


Thanks,

Bill

PS. I'm using Mathematica 6.0.1 on a pc with Windows XP.

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Subject (listing for 'Find smallest & Largest xyz Points (#2)')
Author Date Posted
Find smallest & Largest xyz Points (#2) Bill 08/27/08 3:09pm
Re: Find smallest & Largest xyz Points (#2) Peter Pein 09/13/08 11:26am
Re: Re: Find smallest & Largest xyz Points (#2) Bill 09/14/08 11:02am
Re: Find smallest & Largest xyz Points (#2) Peter Pein 09/16/08 04:19am
Re: Find smallest & Largest xyz Points (#2) Bill 09/17/08 4:18pm
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