# L4: TRIALITY AND SIGMA-CYCLES

**Category:** library_prompt | **Kernel:** PHAT v1.27.5 | **Status:** PENDING

## Prompt

TRIALITY AND SIGMA-CYCLES
Compute the triality automorphism sigma of Spin(8) restricted to Os. Show sigma^3 = 1 (order 3). Demonstrate that sigma maps {e1,e2,e3} -> {f1,f2,f3} -> {l,e1,f1} in cyclic order. Verify Delta_n=2 per sigma-step. Confirm n_b=7, n_c=9, n_ud=13 from triality stepping. #SuperGrokTOE #Triality #GenerationLadder