Challenge

Build by Vertex Valency

From the cover of the book "King of Infinite Space"
From the cover of the book "King of Infinite Space"

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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