Re: create a list with x,y,z coordinates

• To: mathgroup at smc.vnet.net
• Subject: [mg81778] Re: create a list with x,y,z coordinates
• From: Donald DuBois <donabc at comcast.net>
• Date: Wed, 3 Oct 2007 02:35:06 -0400 (EDT)

```> Hi,
> I have a list of z-values:
>
> zVals={13, 8, 15, 9, 15, 8, 11, 2, 18, 8, 5, 10, 11,
> 10, 9, 14, 6, 23,
> 6, 14, 16, 5, 10, 5, 18, 10, 11, 10, 15, 8, 6, 23, 6,
> 17, 6, 12, 9, 17,
> 4, 8, 18, 4, 18, 9, 13, 9, 14, 6, 10, 6, 5, 13, 5,
> 10, 6, 19, 8, 17, 9,
> 16, 15, 5, 13, 5, 11, 9, 16, 2, 21, 11, 4, 15, 7, 10,
> 7, 16, 10, 14, 7,
> 18, 17, 8, 15, 11, 14, 5, 14, 4, 13, 6, 8, 16, 8, 22,
> 8, 6, 9, 13, 5, 12}
>
> These z-values are at grid points in a regularly
> spaced mesh, indices i
> and j correspond to coordinates x and y,
> respectively. I can create the
> mesh by
>
> Table[{i,j},{i,0.05,1,0.1},{j,0.05,1,0.1}]
>
> What is the best way in mathematica to "append" the
> z-values to the
> (x,y)values?
> I know that they are in order corresponding to the
> (x,y)values; that is
> 13 corresponds to (0.05,0.05) and 12 corresponds to
> (0.95,0.95).
>
> Claus
>

Claus,

Given:

zVals = {13, 8, 15, 9, 15, 8, 11, 2, 18, 8, 5, 10, 11, 10, 9, 14, 6,
23, 6, 14, 16, 5, 10, 5, 18, 10, 11, 10, 15, 8, 6, 23, 6, 17, 6,
12, 9, 17, 4, 8, 18, 4, 18, 9, 13, 9, 14, 6, 10, 6, 5, 13, 5, 10,
6, 19, 8, 17, 9, 16, 15, 5, 13, 5, 11, 9, 16, 2, 21, 11, 4, 15, 7,
10, 7, 16, 10, 14, 7, 18, 17, 8, 15, 11, 14, 5, 14, 4, 13, 6, 8,
16, 8, 22, 8, 6, 9, 13, 5, 12};

xyVals = Table[{i, j}, {i, 0.05, 1, 0.1}, {j, 0.05, 1, 0.1}];

This will join each element of zVals to the appropriate
element in xyVals:

f[xyPair_List, zValue_] := Join[xyPair, {zValue}]