Summary.
Symbolic substitutions, defined algebraically in terms of indeterminates a, b, c, are applied to selected points and loci in the transfigured plane of a triangle ABC. Of particular interest are objects and properties left invariant under such substitutions.
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Manuscript received: June 6, 2005 and, in final form, July 17, 2006.
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Kimberling, C. Symbolic substitutions in the transfigured plane of a triangle. Aequ. math. 73, 156–171 (2007). https://doi.org/10.1007/s00010-006-2869-z
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DOI: https://doi.org/10.1007/s00010-006-2869-z