Greg Landweber
E8xE8xE8xE8 Adinkra, 2017
In physics, there are two types of elementary particles: fermions (that make up matter) and bosons (that transmit energy). Supersymmetries exchange these particles, so every boson has a fermion partner and vice-versa. Adinkras are diagrams showing these supersymmetries as a web of colored lines connecting the particle pairs, and their structure is determined by binary error correcting codes. This is the Adinkra for four copies of the extended Hamming code. It has 32 colors of supersymmetries, with 65536 particles and over a million lines.
Greg Landweber
E8xGolay Adinkra, 2017
In physics, there are two types of elementary particles: fermions (that make up matter) and bosons (that transmit energy). Supersymmetries exchange these particles, so every boson has a fermion partner and vice-versa. Adinkras are diagrams showing these supersymmetries as a web of colored lines connecting the particle pairs, and their structure is determined by binary error correcting codes. This is the Adinkra for the extended Hamming code combined with the Golay code. It has 32 colors of supersymmetries, with 65536 particles and over a million lines.
Greg Landweber
E6xE8xE8 Adinkra, 2017
In physics, there are two types of elementary particles: fermions (that make up matter) and bosons (that transmit energy). Supersymmetries exchange these particles, so every boson has a fermion partner and vice-versa. Adinkras are diagrams showing these supersymmetries as a web of colored lines connecting the particle pairs, and their structure is determined by binary error correcting codes. This is the Adinkra for the code E6xE8xE8. It has 22 colors of supersymmetries, with 2048 particles and 22528 lines.