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December 28th, 2014, 07:34 AM   #1
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Question 2-dimensional plots into 3D

Hi all, I'm new to this forum, so first of all thanks for taking the time to read. I hope I have posted this in the right place.

My problem is not exactly simple, but I don;t think it's an enormous stretch to solve for someone skilled in the field. So here goes:

Problem
For a personal project I am trying to create a plot of points in 3D space with coordinates (X,Y,Z) using a combination of 2-dimensional Points.

To do this I have three or four (can be either) different 2-dimensional plots each with four points with no depth A(x,y), B(x,y), C(x,y), D(x,y).

Each of the 2D points in each plot, actually represent the same point in a 3D space. E.g. A is the same point in space in plot1 as in plot2. So the distance in 3D space between each of the points A, B, C, D is constant.

The problem is: How can I determine the (X,Y,Z) values for each of the points A, B, C and D when all I have is:

Plot 1: A1(x,y), B1(x,y), C1(x,y), D1(x,y)?
Plot 2: A2(x,y), B2(x,y), C2(x,y), D2(x,y)?
Plot 3: A3(x,y), B3(x,y), C3(x,y), D3(x,y)?
Plot 4: A4(x,y), B4(x,y), C4(x,y), D4(x,y)?

Thoughts:
I imagine that I need some sort of combination between trigonometry and matrix calculation, but have no idea where to start. Any help or direction you can give here would be appreciated! Thanks!

Last edited by acnicolet; December 28th, 2014 at 07:36 AM. Reason: Inserted matrix: Gave a little more on what I have to work with.
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