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Have you found the trig function that will draw the shape you want?
I don't have any code that does that.

Scaling means taking values in the range of 0 to 1 and converting them to some other...

Start with a piece of paper and draw the shapes. Find a trig function that will generate the x(columns) values as the y (row) values change. You will have to do some scaling (multiply by a factor)...