Challenge

Build by Vertex Valency

Photo protrait of Donald Coxeter holding geometric models against a red background
From the cover of the book "King of Infinite Space - Donald Coxeter, The Man Who Saved Geometry", a biography of Donald Coxeter by Siobhan Roberts. Photo by Eden Robbins

Build shapes where each vertex (connector) can only be connected to certain other vertex types.

  • What happens when 3-way connectors can only be attached to 4-way connectors and vice versa. What about 3-way to 5-way connectors?
  • What are Bipartite Graphs? What is the Handshaking Lemma, and the Gale–Shapley algorithm?
  • Who is Donald Coxeter? How did his work inspire M.C. Escher and Buckminster Fuller?
  • What are Snarks and cubic graphs?
  • Create new rules and conditions and see what structures emerge. What happens if you change rules mid-build?

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