symmetrian

symmetrian

(sɪˈmɛtrɪən)
n
an advocate of symmetry
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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The symbols that represented the letters would be symmetrical--thus the name Symmetrian.
In Symmetrian, letters are formed by symmetric symbols on a vertical axis.
After I'd discovered Word Ways, I realized that Symmetrian could be used in wordplay by coding Symmetrian letters to represent English letters.
In the illustration, the top (unnumbered) panel shows the Symmetrian letters coded to English letters.