source-sequenceThe cited source nodes for celticMandelbar—`if ismand`, `z2 = z * z`, and `|z| <= 256`—form its source-ordered path from setup through update to termination.
Folded absolute
celticMandelbar
06223e69-6d8c-50ba-8e5d-b630d342d910
Teaching overview
celticMandelbar is presented from its pinned FRM-like/1 source rather than from its name. The source supplies an initialization block, a loop block, and a bailout test; the pinned profile uses mode parameter-plane; center (-0.5, 0); zoom 0.4; rotation 0; iterations 96. Follow the cited operations to compare repeated runs.
Source walkthrough
frm-v1:6fd1272cca8d356da5f0c49cbbb4278f0e5d727cefab5ad1daefa83fb4c1f3ce:init/0The init source node begins with `if ismand`; it establishes the starting path before the loop.
frm-v1:6fd1272cca8d356da5f0c49cbbb4278f0e5d727cefab5ad1daefa83fb4c1f3ce:loop/0The loop source node executes `z2 = z * z` on each pass.
frm-v1:6fd1272cca8d356da5f0c49cbbb4278f0e5d727cefab5ad1daefa83fb4c1f3ce:bailoutThe bailout source node tests `|z| <= 256`; the iteration continues while that condition holds.
Syntax features
Parameter experiment
Steps
- Use the pinned profile (mode parameter-plane; center (-0.5, 0); zoom 0.4; rotation 0; iterations 96). Run it once and record the visible result, then repeat with the same profile.
What to observe
Compare the celticMandelbar runs and record whether `z = conj(folded) + c` has matching visible results and iteration behavior.
Exercise
Use the cited annotations for celticMandelbar—`if ismand`, `z2 = z * z`, and `|z| <= 256`—to describe the source order.
Completion check
Your response lists the 3 cited annotation IDs and orders celticMandelbar’s `if ismand`, `z2 = z * z`, and `|z| <= 256` from initialization through loop to termination.
Sources and rights
Grounded in the pinned runtime source revision 6fd1272cca8d356da5f0c49cbbb4278f0e5d727cefab5ad1daefa83fb4c1f3ce and its semantic anchors.
rightsStatus: project-owned; implementationBasis: project-owned; publicationDecision: publish; decisionReason: publish-project-owned-native-recipe. This does not make any broader claim about a third-party original.
Formula Record
celticMandelbar
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
Canonical source
This verified canonical revision is read-only. Remix creates a separate editable fork.
Loading canonical source…
Source and implementation
- Formula ID
- 06223e69-6d8c-50ba-8e5d-b630d342d910
- Canonical name
- celticMandelbar
- Original name
- celticMandelbar
- Historical source
- FractalPark
- Original resource
- public/formula-library/v1/runtime/published/definitions/6fd1272cca8d356da5f0c49cbbb4278f0e5d727cefab5ad1daefa83fb4c1f3ce.frmRepository
- 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