Multilinear Algebra
In the language of multilinear algebra, each shape represents a multilinear function. The lines attached to shapes represent the inputs or outputs of a function, and attaching shapes together in some way is essentially the composition of functions.
Read more about this topic: Penrose Graphical Notation, Interpretations
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“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (18831955)