Collatz Conjecture & Iterant Algebra

η[a, b] = [b, f(b)] — Visualizing Temporal Evolution with Binary Pattern Analysis

ms

Current Iterant State

Enter a number and press Start
Collatz Function:
f(n) = { 3n + 1 if n is odd, n/2 if n is even }

Iterant Evolution:
ηk[n, f(n)] = [fk(n), fk+1(n)]

Trend Analysis:
base = η⁰ (initial state)
high (1) = bn > bn-1
low (0) = bn < bn-1
η Steps
0
Current Energy E([a,b])
0
Energy Level (b value)
0

Value Graph & Binary Pattern

Binary pattern will appear here...

Collatz Sequence & Iterant Pairs

Sequence will appear here...