Welcome to my picture gallery! I produced these images using TikZ, Sage or a combination of both.
The source code is available on request!
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The 1-skeleton of the permutahedron of Type A3.
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Cambrian lattice equivalence of Type A3 with c=123 and c=213
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Cambrian lattice of Type A3 with c=123 and c=213
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Polytopal realization of the (simplicial) 3d-associahedron of Lee
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Geometric representation of the cyclohedron (or Type B associahedron)
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Polytopal realization of the 3d-associahedron of Chapoton-Fomin-Zelevinsky
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Polytopal realization of the 3d-associahedron of Hohlweg-Lange-Thomas with c=123
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Polytopal realization of the 3d-associahedron of Hohlweg-Lange-Thomas with c=213
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Polytopal realization of the Type B 3d-associahedron of Hohlweg-Lange-Thomas with c=123
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Polytopal realization of the Type B 3d-associahedron of Hohlweg-Lange-Thomas with c=213
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Polytopal realization of the Type H 3d-associahedron of Hohlweg-Lange-Thomas with c=123
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Polytopal realization of the Type H 3d-associahedron of Hohlweg-Lange-Thomas with c=213
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Polytopal realization of the cluster complexes of type A3 with c=123 and c=213
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Singletons of type A2 with c=12 and c=21
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Singletons of type A3 with c=123 and c=213
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Normalized isotropic cone and the first few thousand normalized roots for the Coxeter graph depicted. The set of accumulation points is dense on the isotropic cone.
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Normalized isotropic cone and the first few thousand normalized roots for the universal Coxeter group on 4 generator. The set of accumulation points form an Apollonian gasket.
These pictures are artistic variations with different colors and size for the normalized roots (the closer the root to the isotropic cone, the smaller it is represented).
I wrote a patch to the Polyhedron module to write a TikZ-image script (see here)
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A custom Sagemath logo
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A greatrhombicuboctahedron
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A pentakis dodecahedron