Transcendental

asinhMandelbrot

07a0afc6-ced5-5765-9314-fdb0ef593cb9

Teaching overview

asinhMandelbrot is taught from its pinned FRM-like/1 definition. Follow the asinh transformation followed by addition of c as source operations, rather than treating an image as guaranteed. The pinned profile supplies one concrete viewing setup, not a universal visual prediction.

Source walkthrough

frm-v1:dce84ac5a7ee55fff27d70df826af67d386f905ee65cee65f5fa8d418e68ba27:init/0
In asinhMandelbrot, this node executes if ismand: z = 0; otherwise z = pixel.
frm-v1:dce84ac5a7ee55fff27d70df826af67d386f905ee65cee65f5fa8d418e68ba27:loop/0
In asinhMandelbrot, this node executes z = asinh(z) + c.
frm-v1:dce84ac5a7ee55fff27d70df826af67d386f905ee65cee65f5fa8d418e68ba27:bailout
In asinhMandelbrot, this node executes |z| <= 256.

Syntax features

state-flow

These annotations trace the formula-specific state flow: if ismand: z = 0; otherwise z = pixel; z = asinh(z) + c.

stopping-test

This annotation is the stopping test, |z| <= 256, rather than a state update.

Parameter experiment

Steps

Run asinhMandelbrot with 48 iterations while keeping the pinned profile’s other controls fixed, and record the result.
Run asinhMandelbrot at the pinned profile iteration count of 96, compare the two runs, and record whether a difference occurs.

What to observe

Record whether z = asinh(z) + c produces a visible-result or |z| <= 256 stopping-behavior difference from the baseline; the pinned definition does not guarantee a difference.

Exercise

Trace asinhMandelbrot through its annotations, explaining the source operation z = asinh(z) + c and the stopping test |z| <= 256.

Completion check

Your trace explains all 3 annotations for asinhMandelbrot, including z = asinh(z) + c, and distinguishes |z| <= 256 from a state update.

Sources and rights

This teaching unit is grounded in runtime:dce84ac5a7ee55fff27d70df826af67d386f905ee65cee65f5fa8d418e68ba27 and decision:07a0afc6-ced5-5765-9314-fdb0ef593cb9.

rightsStatus is project-owned; implementationBasis is project-owned; publicationDecision is publish; decisionReason is publish-project-owned-native-recipe. This statement does not make broader claims about any third-party original.

Formula Record

asinhMandelbrot

This canonical FractalPark implementation is published and runnable.

Canonical source

Language: frm-like/1
Standard library: 1
Profile mode: parameter-plane
Profile center: 0, 0
Profile zoom: 0.25
Profile iterations: 96
Profile evidence: family

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: 07a0afc6-ced5-5765-9314-fdb0ef593cb9
Canonical name: asinhMandelbrot
Original name: asinhMandelbrot
Historical source: FractalPark
Original resource: public/formula-library/v1/runtime/published/definitions/dce84ac5a7ee55fff27d70df826af67d386f905ee65cee65f5fa8d418e68ba27.frm Repository
Current implementation: Project-owned

This is a FractalPark project-owned implementation. The linked file is the pinned canonical Definition.

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