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Figure 11
The vertex v is the unique vertex of triangle S which is the center of a double hexagon tile. The two lower corner triangles formed in T, with common vertex w, have opposite triangles shown in purple. The question is, what happens at the vertex [v^{{\prime}}]? Neither of the two possibilities shown here can occur. On the left, the triangle with vertices [v^{{\prime}}] and w would be left unclosed at w. On the right we are in the situation shown on the right side of Fig. 10[link], which we know violates the color change property.

ISSN: 2053-2733
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