Advice on how to dynamically generate 3-D graphs from user input?

I need advice on how to dynamically create scatter graphs that can be viewed in 3-dimensional space based on user input.

Basically I created a form that the user will fill out. It consists of: -12 checkboxes -24 individual questions each containing 5 radio buttons

*Input from the "radio button" portion of the form will generate x, y, and z coordinates on a graph (hopefully). *Input from the 12 checkboxes will rotate the graph ( up, down, left, right ) according to values determined by each input. *It is important that I have some level of control as far as the styling is concerned. I am looking to create something fairly specific. *Once the form is submitted another .php page will open with a graph section displaying the individual user's data.

I have found many plug-ins that generate a graph, but most are 2-dimensional. I am hoping to avoid creating an image or .png for every possible combination (there would we hundreds) and instead generate an image dynamically.

You can view my website (so far) at www.fugitivelove.com. Once you scroll down to the "Dig" and "Dig Deeper" content you will see a graph to the right. This is just a place holder for another image, so ignore this. You will see the background image which is the form I would like user's to fill out.

Has anyone come across something similar? I am new to web design and programming but am eager to learn.