Complete Graph K7 Embedded in Torus -- Demonstration
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From graph theory, K7 is a complete graph consisting of 7 nodes, each connected to all other nodes. This configuration renders K7 non-planar, meaning it cannot be drawn without edges intersecting. However, by utilizing the 2-dimensional representation of a torus, K7 can be embedded within that framework, making it planar. A 3D print showcases this concept, featuring deep ridges as edges and their intersection points as nodes. For further information on this mathematical subject: https://en.wikipedia.org/wiki/Heawood_number There are two STL files available - one includes the inscription "K_7" on the back, while the other does not. Design Process Created using Mathematica software.
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