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isomorphism (ì´se-môr´fîz´em) noun
1. Biology. Similarity in form, as in organisms of different ancestry.
2. Mathematics. A one-to-one correspondence between the elements of two sets such that the result of an operation on elements of one set corresponds to the result of the analogous operation on their images in the other set.
3. A close similarity in the crystalline structure of two or more substances of similar chemical composition.
- i´somor´phous adjective

isomorphism (noun)

form: morphology, isomorphism
 
 

Cities and City Life

The cities of the world are concentric, isomorphic, synchronic. Only one exists and you are always in the same one. It's the effect of their permanent revolution, their intense circulation, their instantaneous magnetism.
Jean Baudrillard (b. 1929), French semiologist. _Cool Memories_, ch. 3 (1987; tr. 1990).

• book _Godel, Escher & Bach - The Eternal Golden Braid_ by Douglas Hofstader
• track _Olivine_ MP3 by Isomorph

In _Gödel, Escher, Bach_, Douglas R. Hofstadter defines an isomorphism as “an information preserving transformation.” His deeper definition is: “The word ‘isomorphism’ applies when two complex structures can be mapped onto each other, in such a way that to each part of one structure there is a corresponding part in the other structure, where ‘corresponding’ means that the two parts play similar roles in their respective structures.” In trying to find an isomorphism between Hebrew and DNA structuring, I decided to start by studying the isomorphisms already noticed between DNA and the ancient Chinese system of divination, the I Ching. In recent years, there have been many books which successfully establish very detailed isomorphic maps between the 64 hexagrams (or kua) of the I Ching and the 64 codons which compose the complete genetic code."

~_Occult Genetic Code_ by Steve Krakowski.
 
 

When we recognize something, we energize the portions of our luminous sphere which match the incoming energy meeting our assemblage point. We resurrect memories as isomorphisms to incoming energy, and we call that perception. Our perception assembles clusters of isomorphisms, which are then clustered together into larger isomorphisms, which we call situations. Situations are then clustered into reality.  Vortices in our energy constantly check to make sure these isomorphisms match. When they do, we feel our perceptions to be true. When they don't match, a wavering, vacillating uncertainty enters these vortices, identifying a better match, or in cases of denial, a tightening of the badly matching vortex.

- _Mappinig Awareness_ by Lawrence Au
 
  

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