I have always maintained that the lattice of the 10 classes of signs is
the algebraic realization of the affinities between classes of signs as
Peirce describes them from CP 2.254 to CP 2.264. In "The trichotomic
machine" ("The trichotomic machine," Semiotica, vol. 2019, No. 228, May
2019, p. 173-192) and in "
https://www.academia.edu/40493861/The_trichotomic_machine_brings_order_among_the_interpretants";
(Appendix B) I showed paragraph by paragraph, word by word, that this
formal structure perfectly captured Peirce's texts. Here is now a visual
proof built by a simple technical morphing.
https://www.youtube.com/watch?v=tSfICQynu6A
For connoisseurs I used Sqirlz Morph; I put the 30 points of correspondence
between the two images that were naturally necessary. From a mathematical
point of view I built a faithful and full functor between two algebraic
categories.
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