The I Ching hypercube
64 hexagrams · 192 mutations · one Gray walk
Tap any hexagram on the ring to see its six mutations and its binary value.
The threads form a symmetric pattern: binary counting respects the geometry of the hypercube.
No hexagram chosen yet. The Gray walk links the 64 states with single-line mutations.
The 64 hexagrams correspond bijectively to the integers 0 to 63, with the bottom line as the most significant bit.
verificar_hipercuboThe reflected Gray code walks the 64 states changing a single line per step: a Hamiltonian cycle on the Q6 hypercube of 192 edges.
verificar_hipercuboThe binary ordering (Fu Xi) is traditionally associated with Shao Yong; the identity with binary counting was recognized by Leibniz, not by the culture that produced it.
The types of claim and the full bibliography (APA) are in Foundations.