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Question: How can a Doyle spiral be coded in Maple?

Question:How can a Doyle spiral be coded in Maple?

Earl 955 Maple 2020
plotting spiral
October 04 2022
1

The wikipedia website below contains a general description of Doyle spirals but not the full mathematics of their construction.  

https://en.wikipedia.org/wiki/Doyle_spiral

The website below apparently contains the html coding for an animated display of Doyle spirals, but I am not familiar with this coding language.

https://bl.ocks.org/robinhouston/6096950

Can anyone direct me to 1) the complete mathematics describing the construction of a Doyle spiral and/or

                                        2) a Maple worksheet which codes for the display of a Doyle spiral?
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