Generated reference · ComfyUI workflow · Fractal & generative math

Mandelbrot Set Generator

Generate artistic renderings of the Mandelbrot set with various color schemes and zoom levels

Fractal & generative math10nodesGPU A5000out image~40sv1.0.0

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10Graph nodes
8Node classes
15Inputs
2Models

Tags: mandelbrotfractalmathematicsinfinitecomplexitychaos

Inputs (15)#

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

zoom_regionenumdefault full_set
Region of the Mandelbrot set to render
options: full_setseahorse_valleyelephant_valleyantennaspiralmini_mandelbrotdeep_zoomcustom
color_schemeenumdefault cosmic
Color scheme for rendering
options: classic_bluefirerainbowcosmicblack_goldneonearthpsychedelic
iteration_depthenumdefault high
Iteration depth (detail level)
options: lowmediumhighultra
rendering_styleenumdefault smooth
Rendering style
options: smoothbandedartistic3d_reliefglowingmetallic
artistic_enhancementbooleandefault true
Apply AI artistic enhancement
include_julia_seedsbooleandefault false
Show Julia set seed points
background_styleenumdefault cosmic
Background style for the set interior
options: voidcosmicgradientnebula
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 resolution, pixelated, ugly, photorealistic photograph, human faces, text watermark, simple shapes, non-fractalclip = ◂ 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 = mandelbrot
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
Mandelbrot set fractal art, {zoom_prompt}, {color_prompt}, {iteration_prompt}, {style_prompt}, {background_prompt}{artistic_clause}{julia_clause}, mathematical beauty, infinite complexity, fractal geometry, highly detailed

Variables (7)#

zoom_prompt
{{zoom_prompts[zoom_region]}} tmpl
color_prompt
{{color_prompts[color_scheme]}} tmpl
iteration_prompt
{{iteration_prompts[iteration_depth]}} tmpl
style_prompt
{{style_prompts[rendering_style]}} tmpl
background_prompt
{{background_prompts[background_style]}} tmpl
artistic_clause
{{', AI enhanced artistic rendering, painterly quality' if artistic_enhancement else ''}} tmpl
julia_clause
{{', with Julia set seed points marked, connected Julia regions' if include_julia_seeds else ''}} tmpl

Parameter banks (5)#

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

zoom_prompts (8)#

full_set
complete Mandelbrot set, cardioid and circular bulb, full view, classic fractal shape, iconic mathematics
seahorse_valley
Mandelbrot seahorse valley, spiraling tendrils, seahorse shapes, delicate spiral arms, intricate boundary
elephant_valley
Mandelbrot elephant valley, trunk-like spirals, elephant figures, rounded protrusions, organic shapes
antenna
Mandelbrot antenna region, thin filaments, needle-like structures, fine detail, extreme boundary
spiral
Mandelbrot spiral region, logarithmic spirals, golden ratio, infinite recursion, spiral galaxy forms
mini_mandelbrot
mini Mandelbrot set, self-similar copy, fractal recursion, smaller version within, infinite depth
deep_zoom
deep zoom Mandelbrot, extreme magnification, infinite detail revealed, boundary exploration, mathematical infinity
custom
Mandelbrot set artistic interpretation, fractal mathematics, complex plane visualization

color_prompts (8)#

classic_blue
classic blue Mandelbrot colors, deep blue to cyan gradient, traditional palette, mathematical aesthetic
fire
fire color scheme, red orange yellow gradient, burning fractal, heat map appearance, volcanic
rainbow
rainbow spectrum colors, full color gradient, prismatic bands, chromatic Mandelbrot
cosmic
cosmic color scheme, deep space colors, purple blue pink, nebula palette, astronomical
black_gold
black and gold Mandelbrot, elegant contrast, golden highlights, noir aesthetic, premium appearance
neon
neon bright colors, electric glow, cyberpunk palette, fluorescent intensity, glowing edges
earth
earth tone colors, brown green amber, natural palette, organic mathematics
psychedelic
psychedelic color cycling, maximum saturation, vibrant shifting hues, consciousness expanding

iteration_prompts (4)#

low
low iteration rendering, bold simple shapes, clear boundaries
medium
medium iteration detail, balanced complexity, clear structure with detail
high
high iteration detail, intricate boundary, complex filaments, rich detail
ultra
ultra high iteration, maximum detail, finest filaments visible, extreme precision

style_prompts (6)#

smooth
smooth continuous coloring, gradient transitions, escape time coloring, no banding
banded
discrete color bands, contour lines, iteration count visualization, classic rendering
artistic
artistic painterly rendering, oil paint texture, artistic interpretation, expressive brushwork
3d_relief
3D relief rendering, height mapping, embossed appearance, dimensional depth, shadowed
glowing
glowing luminescent rendering, light emission, neon glow, radiant edges, ethereal light
metallic
metallic surface rendering, chrome reflection, liquid metal, shiny surfaces, reflective

background_prompts (4)#

void
black void interior, pure darkness, mathematical set interior, stark contrast
cosmic
cosmic nebula interior, stars within, galaxy core, astronomical void
gradient
smooth gradient interior, subtle color shift, elegant transition
nebula
nebula cloud interior, gas clouds, star formation, astronomical imagery

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