How to accurately tile a Conch tiling with no knowledge of any of it.

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I am trying to use this tiling but I can't reconstruct it accurately and really have no knowledge of this type of math. I'm seriously really ignorant to how this can be produced.

If there is anyway someone can explain how to construct these tiles in somewhat of a simple manner, I would be very grateful.

Here is the link to the tiling: https://tilings.math.uni-bielefeld.de/substitution/conch/#ref-anchor-Rau82

Thank you!