This is a 3D model of a Penrose triangle, which tends to be thought of as an impossible shape. When one imagines it in their head, they usually think of 3 rectangular prisms stitched together in a way where the ends don’t line up, hence why it was thought of as impossible. This is erroneous though, given that I, and a few others, have made proper 3D Penrose triangles. What’s unique about this one though is that the edges are straight lines(as opposed to wavey curves), and the faces are harmonic surfaces(smooth everywhere). As such, I feel mine lines up the best with what one would imagine a Penrose triangle to look like from different angles. I like to think of 3D Penrose triangles as symbols of doing the impossible, or at least what was erroneously believed to be impossible. The triangular hole’s side length is three times the top edge’s length. This figure was made using Mathematica and is a submission to FAU’s 2024 Juried Student Exhibition.
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