How can I reproduce a lowercase pattern like this in code?

Question

I made this graph in tungsten alpha by accident:

Can you write code to create a larger version of this template?

Can you create similar templates?

Readable code in any language is good, but something that can be run in a browser would be better (i.e. JavaScript / Canvas). If you write code in other languages, include a screenshot.

Notes:

• The input formula for the above image is: arg (sin (x + iy)) = sin ^ (- 1) ((sqrt (2) cos (x) sinh (y)) / sqrt (cosh (2 y) -cos (2 x ))) ( link )
• You do not have to use the above formula. Anything that gives a similar result would be cool. But "reverse engineering" Wolfram Alpha would be better
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Answer 1

, Mathematica ( , Wolfram Alpha Mathematica)

:

:

Plot3D[f[x, y], {x, 7, 9}, {y, -8, -9},WorkingPrecision -> MachinePrecision]

:

30 :

Plot3D[f[x, y], {x, 7, 9}, {y, -8, -9},WorkingPrecision -> 30]  

( )

, f [x, y] - :

, ( ), x, , [2 n Pi, (2 n + 1) Pi]