python 3.x

This question already has an answer here:

What is tail recursion? 23 answers

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There appears to be nothing wrong with your code. I was able to remove turtle.exitonclick() and run it without problem using https://repl.it/languages/python_turtle

I even cranked up the initial depth to 4 to get this lovely image

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Remarks

This bit of code doesn't do anything, you can just remove it

xCenter = xCenter
yCenter = yCenter
edgeLength = edgeLength
depthLeft = depthLeft

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