Using the isotropic vector matrix, I created some Platonic solids like tetrahedron, hexahedron and octahedron and some Archimedean solids like cube octahedron and star tetrahedron.
Star tetrahedron:
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Octahedron:
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Cube Octahedron:
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Tetrahedron:
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Some of the sketches that I made:
I used some references to recognize the shapes before putting them together on the straw sculpture. These are just some interest pictures for help:
https://thenounproject.com/term/star-tetrahedron/407533/
http://www.kjmaclean.com/Geometry/Cubeoctahedron.html
https://byjus.com/platonic-solids-formula