Compound Eye Collatz Mixer

Full-retina visual side scanner · exact evidence stays separate from mixer projections · perturb everything, record everything
Retina versions
241
Every eye shown in the matrix
Finite odd starts scanned
124,999
3 through 250,000
Hardest first descent
85
start 35,655
Primary target
Exceptional frontier
Can one deterministic orbit stay atypically low-valuation forever?
First-descent landscape
sampled odd startsselected trajectory
Exact core
P(a=k)=2−k,   E[a]=2
E[log(3/2a)]=log(3/4)<0

Exact under uniform odd 2-adic residue measure for finite valuation words. This is not a proof for a single deterministic orbit.

What the mixer is allowed to say

Native/exact: integer trajectories, valuations, residue-word identities, finite scans.   Mixer projection: how non-native eyes react to Collatz-derived features.   Not evidence: a projection does not become a theorem because many eyes light up.

Trajectory controls
180

Only α=3, β=1 is the Collatz map. Other settings are perturbation probes.

Frontier and orbit response
Valuation distribution
Contracting word mass
2-adic residue lens
20
0

Bias is a visualization perturbation of the contraction threshold. δ=0 shows the native leading condition A>m log₂3.

Nearby-map perturbation lab

This grid intentionally changes the map. It is for structural sensitivity, not evidence about Collatz unless α=3, β=1.

Live sensitivity surface
Eye mixer controls

Sliders change the mixer projection only. Native eye contracts and source statuses remain unchanged.

All-eye matrix
Combination search
5
1200

Scores combinations for agreement with hard-case features while penalizing redundant family overlap. This is discovery routing, not proof.

Best non-redundant mixes
Record / miss ledger
Top predicted eyes
Raw retina search