Complex Number Plane & Vector Transformations
Origin (0,0) Centered
z1 (Vector 1)
z2 (Vector 2 / Operator)
z_res (Transformed Result)
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Mathematical Elegance & Verification Dossier
Quantified attributes of mathematical beauty based on Alon Amit & Berkeley / ANU geometry principles: structural cohesiveness, surprising simplicity, and invariant symmetry.
Collatz Max Peak
4604
Highest integer reached along orbit
Total Stopping Steps
111
Iterations to descend to ground state (1)
Elegance Cohesion Index
98.4%
Axiomatic closure & algebraic symmetry
Surprise / Economy Ratio
4.20
Deductions generated per foundational postulate