Transcendental

frm-d2

1bb379a2-3588-53f8-a3ab-e52021c78054

Teaching overview

In FRM-like/1, frm-d2 stores pixel as seed and initializes z from that seed. It repeatedly assigns sqr(z)+sin(z)+seed, with bailout |z| < 4. The pinned parameter-plane profile uses 96 iterations.

Source walkthrough

frm-v1:d51707785f4d59fbfa309c2dbd8da93ac1a0ca152c067e6e34c4851585652768:init/0
Initialization: init/0 stores pixel as seed.
frm-v1:d51707785f4d59fbfa309c2dbd8da93ac1a0ca152c067e6e34c4851585652768:loop/0
Iteration: loop/0 assigns z = sqr(z)+sin(z)+seed.
frm-v1:d51707785f4d59fbfa309c2dbd8da93ac1a0ca152c067e6e34c4851585652768:bailout
Termination: bailout tests |z| < 4.

Syntax features

sequence

The cited annotations connect seed = pixel, the repeated sqr(z)+sin(z)+seed assignment, and the |z| < 4 bailout.

Parameter experiment

Steps

Use the pinned profile with all controls fixed. Run 48 iterations and then 96 iterations, and record whether the sqr(z)+sin(z)+seed escape pattern or iteration counts differ.

What to observe

The larger cap may reveal later uses of the stored seed in the update; record whether the observed escape counts differ.

Exercise

Trace how pixel becomes seed before the loop reuses seed in its update.

Completion check

Your response names all 3 annotations and identifies pixel as the value stored in seed.

Sources and rights

This teaching unit is grounded in the pinned runtime source revision.

rightsStatus is no-explicit-permission; implementationBasis is separated-independent-rewrite; publicationDecision is publish; decisionReason is publish-cleanroom-independent-rewrite-full-chain-green. This does not make a broader claim about any third-party original.

Formula Record

frm-d2

This canonical FractalPark implementation is published and runnable.

Canonical source

Language: frm-like/1
Standard library: 1
Profile mode: parameter-plane
Profile center: -0.5, 0
Profile zoom: 0.4
Profile iterations: 96
Profile evidence: mechanical

Parameters

No declared parameters

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Canonical source

This verified canonical revision is read-only. Remix creates a separate editable fork.

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Source and implementation

Formula ID: 1bb379a2-3588-53f8-a3ab-e52021c78054
Canonical name: frm-d2
Original name: frm-d2
Historical source: Iterated Dynamics
Original resource: home/extra/frmtutor.frm Repository
Current implementation: Separated independent rewrite

Historical source: Iterated Dynamics, a successor to Fractint. The current FractalPark implementation is a separated independent rewrite; the original FRM text is not redistributed.

Rights or attribution concern?

Send the Formula ID and supporting evidence. The maintainer can hold or withdraw the implementation while the claim is reviewed. contact@fractalpark.com