Slowly, Silas let his eyes trace the path of the brass strip as it made its way across the floor from his right to left, slanting in front of him at an awkward angle, entirely at odds with the symmetry of the church.
Rosa rugosa, one of the oldest species of rose, had five petals and pentagonal symmetry, just like the guiding star of Venus, giving the Rose strong iconographic ties to womanhood.
Langdon had to admit, there existed an intriguing symmetry in the idea of the Templars building a modern Grail repository that echoed the Grail’s original hiding place.
There are no more uses of "symmetry" in the book.
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The building has multiple local symmetries.
I know a little of the principle of design, and I know this thing was not arranged on any laws of radiation, or alternation, or repetition, or symmetry, or anything else that I ever heard of.