Let be a central triangle and let be its unary cofactor triangle. Then and are perspective, and their perspector is called the eigencenter of .
Let the -, -, and -vertices of be denoted for , 2, 3. Also define
(1)
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(2)
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(3)
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(4)
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Also define
(5)
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and and cyclically. Then the eigencenter of is the point .
The following table summarizes eigencenters of named triangles that are Kimberling centers.