Jessen's Orthogonal Icosahedron
thingiverse
Jessen's Orthogonal Icosahedron is a unique concave polyhedra that Børge Jessen discovered in 1967. This 20-sided shape boasts a range of mathematical properties, including scissor congruence with a cube and multistability. With limited research on this topic, I decided to design the Jessen's Orthogonal Icosahedron using CAD software and 3D print it for a tangible model. A YouTube video documenting my findings is available at https://youtu.be/9-HnJ9n6F20. In the video, I present the results of my experiment with the shape made from a flexible material. When subjected to pressure, the shape undergoes an intriguing transformation, collapsing into an octahedron. Print Specifications: Resolution: 0.2mm - 0.1mm Infill: 0% Notes: To achieve a collapsible version of the Jessen's Orthogonal Icosahedron, print with two shells and 0.8mm top/bottom thickness using flexible materials like NinjaFlex or WillowFlex.
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