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.
Texas Experimental Geometry Lab
An undergraduate research program in experimentation and visualization in mathematics.
