  A quasiperiodic 7-fold rhombic tiling is constructed with an iterative
substitution scheme. The inflation factor is 5.04892..., the square of the
longer diagonal of a regular heptagon. There are many substitutions possible
that fill larger similar tiles with three base shapes but finding the matching
rules (how the larger tiles fit together to make even larger tiles) turns into
a challenging puzzle. At the end, a new solution is found with seven
substitution rules. The relationship to a higher-order Fibonacci series is
explored. The tiling is presented with a celestial theme reminiscent of a
starry night.
