Build shapes where the edges of triangular faces can only touch square faces and vice versa.
Build by Face Adjacency
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What happens when triangles can only touch pentagons, or only touch hexagons?
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What about polyhedra and tessellations with three different shapes? What face adjacency rules can be applied?
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How many polyhedra and 2d tessellations satisfy these conditions?
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What other face adjacency rules create interesting shapes? What happens if you combine rules, add conditionals, and/or change rules mid-build?
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How does face adjacency relate to edge adjacency and vertex valency in graph theory?
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