De Jong Weave — De Jong Attractors mathematical physical art

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De Jong Weave

De Jong Attractors

Interlacing threads of mathematical precision. The attractor braids itself into flowing ribbons of extraordinary density and grace.

Price

$29.00

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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
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Norway & Switzerland NO, CH 3 – 15 business days
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Asia Pacific Japan, South Korea, Singapore, India, China, Hong Kong, Taiwan, Malaysia, Thailand, Philippines + more 2 – 20 business days
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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.

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The mathematics

About this system

The De Jong map is a two-dimensional discrete iterated system defined by four real parameters: x' = sin(a·y) − cos(b·x), y' = sin(c·x) − cos(d·y). It was popularized by Peter de Jong in the 1980s and is famed for producing dense, woven, almost textile-like attractors whose appearance shifts dramatically with tiny changes in (a, b, c, d). Each image is millions of iterates rendered with density coloring, revealing the invariant measure of one specific parameter set.

In the De Jong Attractors collection

The De Jong map is a two-dimensional discrete dynamical system defined by four real parameters: x' = sin(a·y) − cos(b·x), y' = sin(c·x) − cos(d·y). It was popularized by Peter de Jong in the 1980s as a generator of dense, intricate attractor patterns. Iterating the map millions of times and recording every visited point produces lattices, weaves, and fractal embroideries with stunning fine structure — small changes in (a, b, c, d) reveal completely different worlds inside the same equation. Each image in this collection is a single set of parameters iterated at high density, with point-density coloring that reveals the underlying probability distribution of the map. The result feels woven, almost textile — patterns that emerge from pure trigonometric iteration.

x' = sin(a·y) − cos(b·x), y' = sin(c·x) − cos(d·y)