Here is a more complex example, involving generators with compound domains and codomains. to_tikz(id(A), labels=true) to_tikz(braid(A,B), labels=true, labels_pos=0.25) to_tikz(braid(A,B) ⋅ (g⊗f) ⋅ braid(A,B)) Identities and braidings appear as wires. To_tikz(mcopy(A), labels=true) to_tikz(delete(A), labels=true) to_tikz(mcopy(A)⋅(f⊗f)⋅mmerge(B), labels=true) Compact closed category to_tikz((braid(A,B) ⊗ id(C)) ⋅ (id(B) ⊗ braid(A,C) ⋅ (braid(B,C) ⊗ id(A))),Īrrowtip="Stealth", arrowtip_pos=1.0, labels=true, labels_pos=0.0) Biproduct category A, B = Ob(FreeBiproductCategory, :A, :B) The isomorphism $A \otimes B \otimes C \to C \otimes B \otimes A$ induced by the permutation $(3\ 2\ 1)$ is a composite of braidings and identities. The unit and co-unit of a compact closed category appear as caps and cups. To_tikz((dunit(A) ⊗ id(B)) ⋅ (id(A) ⊗ f ⊗ id(B)) ⋅ (id(A) ⊗ dcounit(B))) Abelian bicategory of relations In a self-dual compact closed category, such as a bicategory of relations, every morphism $f: A \to B$ has a transpose $f^\dagger: B \to A$ given by bending wires: A, B = Ob(FreeBicategoryRelations, :A, :B) To_tikz(dunit(A), arrowtip="Stealth", labels=true) to_tikz(dcounit(A), arrowtip="Stealth", labels=true) A, B = Ob(FreeCompactClosedCategory, :A, :B) import matplotlib.pyplot as plt from matplotlib.png import readpng. In an abelian bicategory of relations, such as the category of linear relations, the duplication morphisms $\Delta_X: X \to X \otimes X$ and addition morphisms $\blacktriangledown_X: X \otimes X \to X$ belong to a bimonoid. Among other things, this means that the following two morphisms are equal. X = Ob(FreeAbelianBicategoryRelations, :X) The SVG images are created as black artwork, so we also invert them. The visual appearance of wiring diagrams can be customized using the builtin options or by redefining the TikZ styles for the boxes or wires.Note xlink:href has been deprecated, just use href instead, e.g. ViewBox, width and height values (in this answer) are simply for illustration purpose, adjust the layout accordingly ( read more). After I read in an SVG file, I would like to draw it multiple times, rotating it each time. Since shares similar spec as, meaning it doesn't support SVG styling, as mentioned in Christiaan's answer. It seems, though, that the program applies the rotation to each path.
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