Transcendental

richard8

1936e9b5-1312-593e-ab67-72e95bc514b0

Teaching overview

In FRM-like/1, richard8 initializes z from pixel and stores sin(pixel) as sinp. Each iteration assigns sin(z)+sinp, while the bailout checks |z| <= 50. The pinned parameter-plane profile uses 96 iterations.

Source walkthrough

frm-v1:2f024a184f50b87076b883408a33387a2010e89996414646d1b51844d2f181fc:init/0
Initialization: init/0 sets z from pixel.
frm-v1:2f024a184f50b87076b883408a33387a2010e89996414646d1b51844d2f181fc:loop/0
Iteration: loop/0 assigns z = sin(z)+sinp.
frm-v1:2f024a184f50b87076b883408a33387a2010e89996414646d1b51844d2f181fc:bailout
Termination: bailout tests |z| <= 50.

Syntax features

sequence

The cited annotations connect z = pixel, the repeated sin(z)+sinp assignment, and the |z| <= 50 bailout.

Parameter experiment

Steps

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

What to observe

The larger cap may expose later applications of sin(z)+sinp; record whether the observed escape counts differ.

Exercise

Use the annotations to identify the stored pixel-derived value that is reused by the loop.

Completion check

Your response names all 3 annotations and identifies sinp as sin(pixel).

Sources and rights

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

rightsStatus is source-declared-public-domain-assumption; implementationBasis is direct-adaptation; publicationDecision is publish; decisionReason is publish-census-full-chain-green. This does not make a broader claim about any third-party original.

Formula Record

richard8

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: 1936e9b5-1312-593e-ab67-72e95bc514b0
Canonical name: richard8
Original name: richard8
Historical source: Fractint
Original resource: fractint-float/formulas/fractint.frm Repository
Current implementation: Direct adaptation

The current FractalPark implementation follows the verified semantics of the linked Fractint formula. The original file retains its own rights terms.

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