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To get a taste how frigging annoying bevel gears are: the curved sides are an octoid curve which is given by θ = arccos(cos(α) cos(t sin(α))) φ = arctan(tan(t sin(α)) / sin(α)) - t (spherical coordinates) Dunno if there is a substitution to simplify this insanity.
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When I see shit like cos(sin(...)) I always suspect a printing error but I shit you not this is actually correct.
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