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Problem with Appearance of Slight Diagonals in Contours


I am in the early stages of developing a chromatic face that, by design, employs a lot of slight diagonals (1 to 5 degrees off the horizontal or vertical). The glyphs are made to look as if they were formed by folding strips of paper (I know, I know it's been done before). In addition to the pair of companion chromatic fonts within the family (each representing a different side of the strip of paper), I want to make a monotone version that somehow achieves the 2-sided effect without the use of multiple colors.

The solution I've arrived at to simulate that 2-sided effect is to, in the areas representing the back of the strip of paper, block or mask out strokes that run parallel with the strip. The problem I've encountered in testing the viability of this solution is that the edges of the strokes (set at the aforementioned slight diagonal angles), as well as the edges of some of the solid sections, appear quite "jaggy" when I test the PS OpenType font in Illustrator or InDesign.