Generated reference · ComfyUI workflow · Fractal & generative math

Lorenz Attractor Generator

Generate artistic renderings of the Lorenz attractor and other strange attractors

Fractal & generative math10nodesGPU A5000out image~40sv1.0.0

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10Graph nodes
8Node classes
16Inputs
2Models

Tags: lorenzattractorchaosbutterflydynamicalstrange

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.

attractor_typeenumdefault lorenz
Type of strange attractor
options: lorenzrosslerthomasaizawachenhalvorsensprottdadras
view_angleenumdefault classic_butterfly
Viewing angle perspective
options: classic_butterflytop_downside_viewdynamic_rotationclose_focuswide_angle
color_schemeenumdefault velocity
Coloring method
options: velocitytimegradientmonochrometemperaturerainbowcosmicfire
rendering_styleenumdefault glowing_threads
Rendering style
options: line_tracepoint_cloudtubesribbonsglowing_threadssmoke
trail_lengthenumdefault long
Length of trajectory trails
options: shortmediumlonginfinite
backgroundenumdefault black_void
Background style
options: black_voiddark_gradientcosmicgridabstract
artistic_styleenumdefault ethereal
Artistic interpretation
options: mathematicalorganicetherealmechanicalmystical
glow_intensityenumdefault moderate
Glow/bloom intensity
options: nonesubtlemoderateintenseblazing
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, simple, non-chaotic, regular pattern, human faces, text watermark, photographclip = ◂ 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 = lorenz_attractor
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
strange attractor visualization, {attractor_prompt}, {view_prompt}, {color_prompt}, {rendering_prompt}, {trail_prompt}, {background_prompt}, {artistic_prompt}, {glow_prompt}, chaos theory mathematics, dynamical systems, butterfly effect, deterministic chaos, highly detailed

Variables (8)#

attractor_prompt
{{attractor_prompts[attractor_type]}} tmpl
view_prompt
{{view_prompts[view_angle]}} tmpl
color_prompt
{{color_prompts[color_scheme]}} tmpl
rendering_prompt
{{rendering_prompts[rendering_style]}} tmpl
trail_prompt
{{trail_prompts[trail_length]}} tmpl
background_prompt
{{background_prompts[background]}} tmpl
artistic_prompt
{{artistic_prompts[artistic_style]}} tmpl
glow_prompt
{{glow_prompts[glow_intensity]}} tmpl

Parameter banks (8)#

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

attractor_prompts (8)#

lorenz
Lorenz attractor, butterfly effect chaos, two-lobed structure, Edward Lorenz discovery, atmospheric convection model
rossler
Rossler attractor, single spiral loop, simpler chaotic system, Otto Rossler, asymmetric orbit
thomas
Thomas attractor, cyclically symmetric, three-dimensional flow, smooth curves, organic shapes
aizawa
Aizawa attractor, torus-like structure, Japanese mathematician, unique topology, twisted form
chen
Chen attractor, double scroll, Guanrong Chen, Chinese mathematician, symmetric chaos
halvorsen
Halvorsen attractor, symmetric cyclical, Norwegian mathematician, three-fold symmetry, elegant curves
sprott
Sprott attractor, simple equations, Julien Sprott, minimal chaos, efficient strange attractor
dadras
Dadras attractor, four-wing butterfly, complex topology, Iranian mathematician, elaborate structure

view_prompts (6)#

classic_butterfly
classic butterfly view, iconic perspective, two wings visible, recognizable shape
top_down
top down view, looking down axis, circular patterns visible, bird's eye view
side_view
side profile view, single lobe prominent, depth visible, lateral perspective
dynamic_rotation
dynamic rotating view, multiple angles implied, motion blur, spinning perspective
close_focus
close focus detail, zoomed in section, intricate trajectory detail, micro view
wide_angle
wide angle full view, complete structure visible, spatial context, comprehensive

color_prompts (8)#

velocity
velocity-based coloring, speed determines hue, fast areas bright, slow areas dark
time
time-based coloring, trajectory age colors, rainbow progression, temporal gradient
gradient
smooth gradient coloring, position-based hue, spatial color mapping
monochrome
monochrome single color, elegant simplicity, tonal variation, sophisticated
temperature
temperature heat map, hot and cold regions, thermal visualization, infrared style
rainbow
full rainbow spectrum, all colors represented, prismatic chaos, vibrant diversity
cosmic
cosmic space colors, nebula palette, stellar hues, astronomical beauty
fire
fire flame colors, red orange yellow, burning chaos, heat and energy

rendering_prompts (6)#

line_trace
line trace rendering, continuous trajectory, single pixel width, pure mathematical
point_cloud
point cloud rendering, discrete points, particle system, scattered dots
tubes
3D tube rendering, cylindrical trajectories, depth and volume, substantial paths
ribbons
ribbon rendering, flat twisted bands, flowing fabric, elegant curves
glowing_threads
glowing thread rendering, luminescent lines, neon paths, light trails
smoke
smoke trail rendering, diffuse particles, atmospheric effect, ethereal wisps

trail_prompts (4)#

short
short trajectory trails, recent history only, clean minimal, focused current
medium
medium length trails, moderate history, balanced view, clear structure
long
long trajectory trails, extensive history, dense filling, complete pattern
infinite
infinite trails, all history visible, fully filled attractor, maximum density

background_prompts (5)#

black_void
pure black void background, stark contrast, floating in darkness, isolated
dark_gradient
dark gradient background, subtle variation, professional presentation, depth
cosmic
cosmic nebula background, stars and space, universal context, astronomical setting
grid
coordinate grid background, mathematical context, axis visible, scientific visualization
abstract
abstract artistic background, complementary patterns, artistic context, creative setting

artistic_prompts (5)#

mathematical
pure mathematical visualization, scientific accuracy, academic presentation, precise
organic
organic living interpretation, biological resemblance, natural growth, life-like
ethereal
ethereal mystical interpretation, ghostly presence, spiritual quality, transcendent
mechanical
mechanical industrial interpretation, metallic quality, engineered appearance, technical
mystical
mystical magical interpretation, arcane symbols, esoteric quality, mysterious power

glow_prompts (5)#

none
no glow effect, clean lines, sharp edges
subtle
subtle soft glow, gentle luminescence, delicate light
moderate
moderate glow effect, visible bloom, attractive luminosity
intense
intense bright glow, strong bloom, eye-catching luminescence
blazing
blazing maximum glow, overwhelming light, brilliant radiance, nuclear intensity

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-explainer-motion-graphic-pack
outputPackageProfile
image-single-profile
controlModalities
color-script-lockmodel-lockprompt-template-locksampler-scheduler-lockseed-lockstyle-lock
consistencyDimensions
lightingcolor-script
notes
Auto-mapped from fractal defaults