Talk:Icosian calculus
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The Icosian Calculus is distinct from Hamiltonian paths
editI have started a new page here and given a brief definition in order to distinguish between the Icosian Calculus and the much broader topic of Hamiltonian paths and circuits. Certainly, Hamilton used what would now be termed Hamiltonian paths and circuits on the dodecahedron to illustrate his calculus, but he did not venture far into more general areas of what is now graph theory.
Equally, he had a particular metaphysical interest in finding an elusive "algebra of triplets" and the Icosian Calculus was an offshoot of that search.
This page could really do with some illustrations of the three key operations, and a formal definition, as well as some examination of Hamilton's extension of the algebra to derive other operations such as . So I'll see what I can add in time.
Rupert Clayton 12:49, 3 March 2007 (UTC)
I believe the drawing of the first operation may be wrong.
It applies the iota B->C and then gives B->C. It should give C->B.
Well, apparently there is an arrow, just not visible.