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December 2, 2024, Filed Under: Bugged Triangle, Convex domains

Bugged Triangle

Convex domains in projective geometry
Projecting Triangles
Bugged Triangle
Rounding Algorithm
Demo

After this initial overview of triangle projection, we added a “bug” on the triangle: a fixed point around the middle of the triangle, which was projected as a singular point within the (now translucent) triangle’s shadow. We studied how to reposition the triangle such that the bug’s shadow moved but the triangle’s shadow remained the same. For a fixed distance between the center of the triangle and the observation plane, the four solutions for a projected equilateral triangle are displayed below.

Below: solutions to bug problem for a fixed triangle and distance between the triangle and observation plane

bug1bug2bug4

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