Flow Field: Origin — Flow Fields mathematical physical art

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Flow Field: Origin

Flow Fields

The reference flow field. Three octaves of smooth noise produce organic streamlines that meander across the canvas like ink in water.

Price

$29.00

Shipping calculated at checkout

Format Art Print
Size 18 × 24 in
Material Enhanced matte paper · 200gsm · archival · unframed
Resolution 300 DPI · rendered at 5400 × 7200 px
Production Professional print-on-demand · ships from nearest facility
Shipping Most countries · calculated at checkout
Shipping & Delivery ⌄

Each print is produced and shipped from the nearest facility in our global print network. Production normally takes 2–5 business days, then shipping follows Printful's live estimate for the destination. The ranges below are current standard-rate estimates and can vary by exact address, product, and carrier availability.

Standard US 3–6 days · EU 3–15 days · Asia/Pacific 2–17 days · LatAm 5–25 days
Express Availability varies by product and destination
RegionCountriesEst. delivery
United States All 50 states + territories 3 – 6 business days
United Kingdom UK 2 – 11 business days
Canada Canada 2 – 10 business days
Australia Australia, New Zealand 3 – 17 business days
European Union Germany, France, Spain, Italy, Netherlands, Belgium, Austria, Sweden, Poland, Denmark, Finland, Ireland, Portugal, Czech Republic, Romania, Greece + more 3 – 15 business days
Norway & Switzerland NO, CH 3 – 15 business days
Latin America Brazil, Mexico, Chile, Colombia, Argentina, Peru + more 5 – 25 business days
Asia Pacific Japan, South Korea, Singapore, India, China, Hong Kong, Taiwan, Malaysia, Thailand, Philippines + more 2 – 20 business days
Middle East UAE, Saudi Arabia, Israel 5 – 20 business days
Rest of world Most supported countries and territories 5 – 25 business days

Note: Delivery times are estimates and not guaranteed. Exact rates are confirmed at checkout with Printful live shipping data. Shipping is unavailable for Russia, Belarus, Cuba, Iran, North Korea, and Syria.

Shipped worldwide · professionally printed and fulfilled

The mathematics

About this system

A flow field assigns a direction to every point in the plane. A particle dropped into the field traces a curve that always follows the local arrow. Build the field from smoothly varying noise (Perlin, simplex, or layered sinusoids) and thousands of trajectories braid into curtains, vortices, and rivers without ever crossing. This image is the result of thousands of particles released into one specific mathematical field, each particle leaving a continuous trail.

In the Flow Fields collection

A flow field assigns to every point in the plane a direction — and a particle dropped into the field will trace a curve that always follows the local arrow. Build the field from smoothly varying noise (Perlin, simplex, or layered sinusoids) and the resulting trajectories braid into curtains, vortices, and rivers without ever crossing. The technique sits at the boundary of generative art and computational fluid dynamics. Each image in this collection is the result of thousands of particles released into a fixed mathematical field, each one rendered as a continuous trail. The animations show the same fields evolving slowly in time, so that the entire flow pattern breathes while maintaining its underlying structure.

∂x/∂t = cos(N(x,y)), ∂y/∂t = sin(N(x,y)), N = Σ aₖ sin(fₖ·r + φₖ)