Mapping points on distance?

Does anyone know of java program that can take a matrix of distances between some places and map these places by plotting them?
For example, if I have the matrix
     A     B     C     D
A    0     12    3      6
B   12     0     4      7
C    3     4     0      9
D    6     7      9      0then I would like to be able to plot the points that represent A B C and D somehow.
Any ideas?
Thanks
Andy

Just convert the points into screen space using simple math.I think the problem is that the OP doesn't have the coordinates of the points. Once you have them the maths is simple - but how do you go from a set of distances between adjacent points to a (plausible) set of coordinates?
In order to be plottable at all - as points in a 2D Euclidean space - these distances have to obey various rules: like AtoB=BtoA, AtoBtoC>=AtoC>0.
Maybe someone has a link to a discussion of an alogrithm for this. You could begin by putting the first two points anywhere. Trigonometry provides two options for the third point (so the resulting maps are mirror images). Then add the others based on some more trig and the distances given to the first three.
Sorry about the [Edits]

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