Asymmetric Tetrahedron
To accompany Folding and Unfolding in Computational Geometry:Part III: Ch.4.1: Folding a Polygon
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In the applet below, the distance between the red dot and the left black vertex on the slider is the same as the distance between the two middle green vertices on the top edge.

Please enable Java for an interactive construction (with Cinderella).

Created with Cinderella
applet created by Melody Donoso