Mandelbrot Seahorse — Fractal Series mathematical physical art

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Mandelbrot Seahorse

Fractal Series

Zoom into the seahorse valley of the Mandelbrot set.

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

The Mandelbrot set is the most famous object in fractal mathematics: the set of complex numbers c for which the iteration z → z² + c (starting at z=0) remains bounded. Its boundary is infinitely complex, exhibiting self-similar detail at every magnification. Outside the set, points are colored by escape speed — how many iterations they take to grow past a threshold. The result is a high-precision rendering at deep iteration depth with smooth-iteration coloring.

In the Fractal Series collection

The Mandelbrot set and its companion Julia sets live in the complex plane at the edge of order and chaos. For each complex number c, iterate z → z² + c starting from z = 0: if the sequence stays bounded, c belongs to the Mandelbrot set; otherwise, the escape speed colors the surrounding fractal boundary. Julia sets fix c and vary the starting point, producing connected dust, dendrites, or solid regions depending on where c lies. Both reveal infinite self-similar detail at every zoom level — you can keep magnifying forever and the structure keeps renewing itself. Every image in this collection is computed at high iteration depth with smooth-iteration coloring, so the gradients you see correspond exactly to how fast each point escapes.

z_{n+1} = z_n² + c, escape when |z| ≥ 2