Active Tool: 7-Tooth Ebru Comb Floating Layers: 24 Ink Rings Fluid Viscosity: Zero-Mud Advection
Your browser supports HTML5 Canvas to render real-time Suminagashi fluid marbling and viscous paint physics.

How Suminagashi Paper Marbling & Zero-Mud Fluid Advection Work

In traditional Japanese Suminagashi ("floating ink") and Turkish Ebru paper marbling, artisans float droplets of pigment mixed with ox-gall surfactant on top of a viscous carrageenan water bath. Because the floating pigment forms an immiscible monomolecular film across the surface tension of the water, dropping a fresh bead of color at the center pushes all previous rings outward without ever mixing the pigments into muddy brown.

Liquid Marble & Acrylic Pour Studio solves these exact 2D incompressible homeomorphic fluid transformations in real time at 60–120 FPS—paired with a velocity-coupled Web Audio synthesizer that generates soothing viscous liquid swirls and glossy droplet plops as you comb the surface.

How to Pour, Comb & Swirl Hypnotic Marble Patterns

  1. Pour Concentric Bullseye Rings: Select 💧 1. Bullseye Ink Dropper in the top ribbon (or click 🎯 Pour 8-Ring Bullseye in the bottom dock) and tap or hold anywhere on the dark water bath. Each new droplet radially expands the surrounding pastel and 24K gold rings by exact conservation of surface area.
  2. Draw Feather Chevrons with the Bamboo Stylus: Switch to ✒️ 2. Fine Bamboo Stylus and drag through the concentric circles to pull delicate, razor-sharp calligraphic points.
  3. Rake Parallel Waves with the 7-Tooth Ebru Comb: Select 🪮 3. 7-Tooth Ebru Comb and sweep horizontally or vertically across the tray—or click 🌊 Auto-Comb Peacock Wave—to transform simple rings into intricate Venetian and nonpareil marble patterns.
  4. Spin Spirals with the Vortex Rake: Select 🌀 4. Spiral Vortex Rake and swirl your finger or mouse to wind the ribbons into a luminous spiral nebula.

Mathematical Suminagashi Ink Displacement & Tine Advection Equations

Following the mathematical marbling formulation of Lu, Jaffer, Jin, and Zhao (Mathematical Marbling, IEEE Computer Graphics & Applications), our engine advects every contour vertex $\mathbf{p}$ under three exact homeomorphisms:

1. Incompressible Radial Ink-Drop Expansion (Center c, Drop Radius R):
p' = c + (p - c) × sqrt(1 + R² ÷ ||p - c||²) [Preserves exact surface area of all prior ink rings!]

2. Oseen-Lamb Viscous Stylus & Multi-Tooth Comb Wake Displacement (Drag Vector M, Decay Scale L):
p' = p + α · M × exp( -d_perp(p, line)² ÷ L² )

3. Rotational Vortex Swirl Homeomorphism (Center v_0, Angular Strength θ_0):
θ(r) = θ_0 × exp( -||p - v_0||² ÷ R_vortex² )

6 Curated Marbling Palettes & Traditional Ebru Patterns

Palette / Technique Pigment Layers Included Recommended Marbling Tool Visual & Sensory Vibe
1. Pastel Macaron & 24K Gold Blush Rose, Mint Cream, Lavender, Sky & Metallic Gold 7-Tooth Ebru Comb Soft dopamine-boosting bakery & gilt stationery
2. Imperial Jade & Pearl Celadon Nephrite, Emerald, Champagne Pearl & Coral Fine Bamboo Stylus Polished gemstone veins & organic botanical flow
3. Tokyo Bioluminescence Electric Cyan, Laser Magenta, Ultraviolet & Lime Spiral Vortex Rake High-contrast trippy neon cyber-fluid
4. Celestial Amethyst Nebula Deep Indigo, Royal Violet, Stardust Gold & Rose Spiral Vortex Rake Deep-space cosmic cloud relaxation
5. Australian Fire Opal Turquoise Flash, Tangerine, Ruby & Peacock Blue 7-Tooth Ebru Comb Iridescent play-of-color mineral ribbons
6. Kyoto Sumi & Crimson Warm Rice Paper Ivory, Charcoal Sumi, Vermilion & Gold Bullseye Ink Dropper Zen meditative Japanese woodblock tranquility

Continue unwinding with these verified zero-clutter sensory simulators in the Gemsmakers Calm Play hub:

Frequently Asked Questions

1. Why don't the paints turn into muddy brown when I swirl them in this fluid simulator?
In real Japanese Suminagashi and Turkish Ebru marbling, surfactant-treated pigments float on top of a thickened carrageenan bath as immiscible monomolecular films. Instead of blurring pixels together, our engine uses topological contour advection: each new drop pushes existing ink rings outward by exact area conservation, and the comb/stylus tools fold the vector boundaries like silk ribbons.
2. How do the Bullseye Dropper, Stylus, and 7-Tooth Ebru Comb tools work?
In Bullseye Dropper mode, holding or tapping on the canvas drops concentric rings of pastel and metallic gold paint that radially expand all surrounding layers. Switching to the Fine Bamboo Stylus lets you pull single feather-like chevrons through the rings; the 7-Tooth Ebru Comb rakes parallel peacock waves across the entire tray; and the Vortex Rake twists the paint into hypnotic galaxies.
3. How is the viscous paint swirling ASMR audio generated?
The Web Audio synthesizer measures your real-time cursor or finger velocity across the tray and modulates a dual-stage resonant low-pass filter over pink noise (140 Hz to 950 Hz), layered with pitch-swept sine bubble plops (280 Hz to 620 Hz) whenever new paint droplets hit the surface.
4. Why does this fluid marbling app run at 60–120 FPS without freezing or blinking white on mobile?
The studio initializes an opaque hardware-backed canvas ({ alpha: false }), caps active ink layers in a 55-ring adaptive polygon pool, and disables mobile browser tap highlights (-webkit-tap-highlight-color: transparent), guaranteeing zero white flicker.