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
- 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.
- 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.
- 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.
- 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:
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 |