Generated reference · ComfyUI workflow · Fractal & generative math

Julia Set Generator

Generate artistic renderings of Julia sets with various parameters and color schemes

Fractal & generative math10nodesGPU A5000out image~40sv1.0.0

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10Graph nodes
8Node classes
16Inputs
2Models

Tags: juliafractalmathematicscomplexbeautychaos

Inputs (16)#

The typed parameter surface callers bind when they request this workflow. Enum options and numeric bounds are the values the workflow document declares.

julia_typeenumdefault rabbit
Type of Julia set (determined by c parameter)
options: dendriterabbitsan_marcosiegel_diskairplanegalaxiesspirallightningcustom
color_schemeenumdefault cosmic
Color scheme
options: oceanfireforestcosmicelectricsunsetmonochromerainbow
rendering_styleenumdefault smooth
Rendering algorithm style
options: smoothorbit_trapdistance_estimationpickover_stalks3d_heightflame
symmetryenumdefault none
Applied symmetry
options: nonehorizontalverticalrotationalkaleidoscope
complexityenumdefault complex
Detail complexity
options: simplemoderatecomplexextreme
glow_effectbooleandefault true
Add glow/bloom effect
inner_coloringenumdefault gradient
Coloring for set interior
options: blackgradientinversetextured
artistic_styleenumdefault organic
Artistic interpretation style
options: mathematicalorganiccrystallineliquidgaseous
seedintegerdefault -1
Random seed
widthintegerdefault 1024
Output width
heightintegerdefault 1024
Output height
stepsintegerdefault 35
Sampling steps
cfg_scalefloatdefault 7.5
CFG scale
hires_fixbooleandefault true
Two-pass detail refinement: 1.5x latent upscale + low-denoise second sampling pass
freeubooleandefault true
FreeU v2 backbone re-weighting (family-tuned b1/b2/s1/s2)
checkpointenumdefault sdxl_base
SDXL checkpoint: curated photoreal finetune (default) or base 1.0
options: realvis_xl_v5sdxl_base

ComfyUI node graph (10)#

The executable ComfyUI prompt graph: 10 nodes across 8 distinct node classes, wired by 15 data dependencies. Nodes tinted green come from a custom node pack this workflow declares; the rest are ComfyUI core / baked-community classes.

flowchart TD n0["1: CheckpointLoaderSimple"] n1["2: CLIPTextEncode"] n2["3: CLIPTextEncode"] n3["4: EmptyLatentImage"] n4["5: KSampler"] n5["6: VAEDecode"] n6["7: SaveImage"] n7["freeu: FreeU_V2"] n8["hires_upscale: LatentUpscaleBy"] n9["hires_sampler: KSampler"] n0 -->|clip| n1 n0 -->|clip| n2 n7 -->|model| n4 n1 -->|positive| n4 n2 -->|negative| n4 n3 -->|latent_image| n4 n9 -->|samples| n5 n0 -->|vae| n5 n5 -->|images| n6 n0 -->|model| n7 n4 -->|samples| n8 n7 -->|model| n9 n1 -->|positive| n9 n2 -->|negative| n9 n8 -->|latent_image| n9
Data-flow DAG — scroll to zoom, drag to pan.

Nodes (10)#

1CheckpointLoaderSimplecore
ckpt_name = {{checkpoint_files[checkpoint]}} tmpl
outputs: MODELCLIPVAE
2CLIPTextEncodecore
text = {{constructed_prompt}} tmplclip = ◂ node 1 · out[1]
outputs: CONDITIONING
3CLIPTextEncodecore
text = blurry, low quality, pixelated, simple shapes, non-fractal, photograph, human faces, text, watermark, logoclip = ◂ node 1 · out[1]
outputs: CONDITIONING
4EmptyLatentImagecore
width = {{width}} tmplheight = {{height}} tmplbatch_size = 1
outputs: LATENT
5KSamplercore
model = ◂ node freeu · out[0]positive = ◂ node 2 · out[0]negative = ◂ node 3 · out[0]latent_image = ◂ node 4 · out[0]seed = {{seed}} tmplsteps = {{steps}} tmplcfg = {{cfg_scale}} tmplsampler_name = dpmpp_2m_sdescheduler = karrasdenoise = 1.0
outputs: LATENT
6VAEDecodecore
samples = ◂ node hires_sampler · out[0]vae = ◂ node 1 · out[2]
outputs: IMAGE
7SaveImagecore
images = ◂ node 6 · out[0]filename_prefix = julia
freeuFreeU_V2core
model = ◂ node 1 · out[0]b1 = 1.1b2 = 1.2s1 = 0.6s2 = 0.4
outputs: MODEL
hires_upscaleLatentUpscaleBycore
samples = ◂ node 5 · out[0]upscale_method = bislerpscale_by = 1.5
outputs: LATENT
hires_samplerKSamplercore
model = ◂ node freeu · out[0]positive = ◂ node 2 · out[0]negative = ◂ node 3 · out[0]latent_image = ◂ node hires_upscale · out[0]seed = {{seed}} tmplsteps = 14cfg = {{cfg_scale}} tmplsampler_name = dpmpp_2mscheduler = karrasdenoise = 0.45
outputs: LATENT

Prompt construction#

template
Julia set fractal art, {julia_prompt}, {color_prompt}, {rendering_prompt}, {symmetry_prompt}, {complexity_prompt}, {artistic_prompt}{glow_clause}, complex plane mathematics, infinite detail, fractal geometry, highly detailed

Variables (7)#

julia_prompt
{{julia_prompts[julia_type]}} tmpl
color_prompt
{{color_prompts[color_scheme]}} tmpl
rendering_prompt
{{rendering_prompts[rendering_style]}} tmpl
symmetry_prompt
{{symmetry_prompts[symmetry]}} tmpl
complexity_prompt
{{complexity_prompts[complexity]}} tmpl
artistic_prompt
{{artistic_prompts[artistic_style]}} tmpl
glow_clause
{{', glowing luminescent edges, bloom effect, radiant light' if glow_effect else ''}} tmpl

Parameter banks (6)#

The prompt / configuration lookup tables this workflow keys into from its inputs — the vocabulary that turns a style / palette / preset selection into graph parameters.

julia_prompts (9)#

dendrite
Julia dendrite set, c = i, tree-like branching, organic growth, dendritic patterns, coral-like structure
rabbit
Douady rabbit Julia set, c = -0.123 + 0.745i, three-lobed shape, rabbit ear spirals, iconic Julia
san_marco
San Marco Julia set, c = -0.75, dragon-like shape, connected fractal, cathedral windows
siegel_disk
Siegel disk Julia set, c = golden ratio related, quasiperiodic, ring structures, disk formation
airplane
Airplane Julia set, c = -1.75, wing-like structures, aviation resemblance, swept shapes
galaxies
Galaxies Julia set, c = -0.4 + 0.6i, spiral galaxy shapes, cosmic appearance, rotating arms
spiral
Spiral Julia set, c = -0.8 + 0.156i, logarithmic spirals, whirlpool patterns, vortex forms
lightning
Lightning Julia set, c = -0.7 + 0.27015i, electrical discharge patterns, branching bolts, jagged edges
custom
custom Julia set parameters, unique c value, experimental fractal, mathematical exploration

color_prompts (8)#

ocean
ocean blue palette, deep sea colors, aquamarine cyan, water depths, marine tones
fire
fire colors, red orange yellow, flame gradient, burning intensity, volcanic heat
forest
forest green palette, emerald jade moss, natural greens, organic life colors
cosmic
cosmic space colors, purple nebula, star blue, galactic palette, astronomical
electric
electric neon colors, cyan magenta, digital glow, cyberpunk palette, energy
sunset
sunset warm colors, pink orange gold, twilight hues, romantic sky, warm gradient
monochrome
monochromatic single hue, tonal variations, elegant simplicity, grayscale or sepia
rainbow
full rainbow spectrum, prismatic colors, all wavelengths, maximum color diversity

rendering_prompts (6)#

smooth
smooth continuous coloring, gradient escape time, no visible bands, seamless transitions
orbit_trap
orbit trap rendering, geometric shapes in iteration, circular or cross traps, interesting artifacts
distance_estimation
distance estimation rendering, boundary glow, edge detection, mathematical precision
pickover_stalks
Pickover stalks rendering, tendril highlights, stalk patterns, organic threads
3d_height
3D height field rendering, elevation mapping, shadowed relief, dimensional depth
flame
flame algorithm rendering, iterated function system blend, smooth organic curves, flowing forms

symmetry_prompts (5)#

none
natural asymmetric rendering, original fractal form
horizontal
horizontal mirror symmetry, bilateral reflection, left-right mirrored
vertical
vertical mirror symmetry, top-bottom reflection, mirrored axis
rotational
rotational symmetry, radial pattern, centered rotation, mandala-like
kaleidoscope
kaleidoscope symmetry, multiple reflection, prismatic mirror effect, complex symmetry

artistic_prompts (5)#

mathematical
mathematical pure rendering, precise calculation, academic aesthetic, scientific visualization
organic
organic living interpretation, biological forms, natural growth, life-like quality
crystalline
crystalline mineral interpretation, gemstone facets, geological forms, mineral structure
liquid
liquid fluid interpretation, flowing mercury, water surface, reflective fluidity
gaseous
gaseous cloud interpretation, nebula formation, smoke patterns, atmospheric diffusion

complexity_prompts (4)#

simple
simple clean rendering, clear shapes, minimal detail, bold forms
moderate
moderate detail level, balanced complexity, clear yet intricate
complex
complex high detail, intricate patterns, rich boundary detail, fine filaments
extreme
extreme maximum detail, infinite complexity visible, overwhelming intricacy

Models & dependencies#

Checkpoint aliases (2)#

realvis_xl_v5
RealVisXL_V5.0_fp16.safetensors
sdxl_base
sd_xl_base_1.0.safetensors

Models required (2)#

RealVisXL_V5.0_fp16.safetensors
sd_xl_base_1.0.safetensors

Output contract#

What a successful run of this workflow returns.

type
image
format
png
channels
4

Taxonomy & routing#

How the control plane classifies this workflow — from the committed workflow-taxonomy-registry.json. It drives the consistency / control surface the agentic director can exercise over the workflow.

assetFamily
mkt-campaign-key-visual-suite
outputPackageProfile
image-single-profile
controlModalities
color-script-lockmodel-lockprompt-template-locksampler-scheduler-lockseed-lockstyle-lock
consistencyDimensions
lightingcolor-script
notes
Auto-mapped from fractal defaults