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Tiling on figure 7.4.4, LPP23-11

From G & S, page 372. Given an acute angle of 30°, and unit triangles, other side satisfies (1+x)*sin(15°)=x/sqrt(2) so x=.577350269.

This pattern is a member of an interesting class of mathematical patterns.

FROM: TILINGS AND PATTERNS by Branko Grünbaum and G. C. Shephard © 1987 by W. H. Freeman and Company. Used with permission. PP Class 44, [p3lm,c3,d1], IH Class 36.

Statistics on this tiling:

• Tiling has symmetry p31m.
• Tiling has 3 polygons and 12 edges.
• Edges are completely connected.
• Tiling is not edge-to-edge.
• Tiling satisfies the two-polygon condition.
• Internal angles a multiple of 30°.
• Contains one non-regular polygon which has reflective symmetry.
• Contains: 2 equilateral triangles.
• Tiling contains 181 polygons.

Summary of images