This doesn't involve traditional mathematics concepts, but I'm relying heavily on visual explanations in my mathematical explorations of discrete geometry, whic

This doesn't involve traditional mathematics concepts, but I'm relying heavily on visual explanations in my mathematical explorations of discrete geometry, which you can find at https://quivergeometry.net https://quivergeometry.net. Probably the cleanest examples of where visualization makes things very clear is explaining the groupoid structure of paths [1], and how to generate lattice quivers [2]. But I also enjoy some of the aesthetic qualities of the sections on coverings [3] (intricate), vertex colorings [4] (very colorful!), toroidal lattices [5], and products of quivers [6]. The last in particular involves trying to understand products from both an algebraic and geometric perspective, and 3D visualization is especially helpful there, giving intuition for how a certain product slices off hexagonal pieces of a hypercube. [1] https://quivergeometry.net/qg/paths/ https://quivergeometry.net/qg/paths/ [2] https://quivergeometry.net/qg/lattice-quivers/ https://quivergeometry.net/qg/lattice-quivers/ [3] https://quivergeometry.net/qg/covers/ https://quivergeometry.net/qg/covers/ [4] https://quivergeometry.net/qg/colorings/ https://quivergeometry.net/qg/colorings/ [5] https://quivergeometry.net/qg/toroidal-lattices/ https://quivergeometry.net/qg/toroidal-lattices/ [6] https://quivergeometry.net/qg/quiver-products/ https://quivergeometry.net/qg/quiver-products/