Is there an algorithm/method for actually drawing Van Kampen diagrams?

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In theory, given a presentation for a group, I understand what a Van Kampen diagram should look like, but I struggle when it comes to the practicalities of drawing it.

Is there an algorithm/method for actually drawing them?

For example, if I wanted to draw the Van Kampen diagram for $ \left< a , b | a^8, a^2 b a^{-1} b^{-2} \right>$, how would I go about drawing it?

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I recently made a tool for visualizing van Kampen diagrams. About how it works and what input format you can see on project GitHub page. Here is example of work result