M 142 / 18306 Space & Opticsalgorithm output

Droste Recursion

space & optics

Typeface · Rufina

Atlas demonstration: the free source photo and the computed Droste Recursion. A dense forest of vertical pine trunks fills the frame in cool, muted green tones. The repetition is unmistakable as smaller frames tunnel into the center, creating a profound sense of infinite depth through the trees.
Atlas demonstration: the free source photo and the computed Droste Recursion. A dense forest of vertical pine trunks fills the frame in cool, muted green tones. The repetition is unmistakable as smaller frames tunnel into the center, creating a profound sense of infinite depth through the trees.Image: Jude Dias judedias · CC0 (via Wikimedia Commons), processed for the AtlasView source ↗

Prompt

Apply Droste Recursion to nest progressively smaller copies of the photograph inside itself, twisting them into a seamless inward spiral. Repeat recognizable colors, textures, and silhouettes through each shrinking layer, with smooth joins and a tightly receding center. Preserve the original subject and composition within the repeated image.

Identify

You see an image that continuously contains a smaller version of itself, spiraling inward1 toward an infinite center.

Principle

The algorithm applies a mathematical conformal mapping2 to curl the original image into a continuous repeating loop. It scales and twists the pixels so the picture seamlessly nests inside its own frame.

Try it out

Change the zoom level to see how the spirals twist inward.

Classification

Calculated image processing result.

Further examples · 9 images

Droste Recursion, applied to “Bowl of Strawberries (Unsplash)”
02 Droste Recursion, applied to “Bowl of Strawberries (Unsplash)”A glass bowl containing fresh strawberries is set against a dark, textured background. The entire scene is perfectly mirrored and scaled within itself, leading the eye toward a vanishing point centered on the fruit.Roberta Sorge robertina (photo); processed for the Atlas · CC0 · Wikimedia Commons
Droste Recursion, applied to “Portrait of a Hen (Unsplash)”
03 Droste Recursion, applied to “Portrait of a Hen (Unsplash)”The image features the warm, feathered profile of a brown hen standing in a grassy area. A series of nested rectangles duplicates the bird's head and comb, showcasing the recursive pattern clearly against the natural textures.Stephen Mierendorf schmirk (photo); processed for the Atlas · CC0 · Wikimedia Commons
Droste Recursion, applied to “Person holding to-go coffee (Unsplash)”
04 Droste Recursion, applied to “Person holding to-go coffee (Unsplash)”A person is shown wearing a thick, orange knit scarf and a grey wool coat while holding a white cup. The central composition allows for a sharp, clear progression of the image repeating inward within the bounds of the coffee cup.Karen Cantú Q karencantuq (photo); processed for the Atlas · CC0 · Wikimedia Commons
Droste Recursion, applied to “Biscuits, cakes, nuts and chestnuts (Unsplash)”
05 Droste Recursion, applied to “Biscuits, cakes, nuts and chestnuts (Unsplash)”An assortment of various nuts and pastries is scattered across a rustic, lined surface. The complex textures of the walnuts and chestnuts provide a rich backdrop for the mathematical nesting of the frames.Mira Bozhko miroslava (photo); processed for the Atlas · CC0 · Wikimedia Commons
Droste Recursion, applied to “Woman and child on the steps (Unsplash)”
06 Droste Recursion, applied to “Woman and child on the steps (Unsplash)”The photograph captures the intricate, overlapping patterns of a tiled roof above a dark wooden structure. Each recursive layer aligns with the geometry of the tiles, creating a seamless and obvious visual loop.Stijn Swinnen stijnswinnen (photo); processed for the Atlas · CC0 · Wikimedia Commons
Droste Recursion, applied to “Landscape (Unsplash)”
07 Droste Recursion, applied to “Landscape (Unsplash)”A wide landscape reveals a tranquil lake nestled between rolling, forested hills under a soft blue sky. The scene repeats inward through a series of diminishing frames that draw the eye toward an infinite horizon.Nick West nickwest (photo); processed for the Atlas · CC0 · Wikimedia Commons
Droste Recursion, applied to “Steel suspension bridge wires (Unsplash)”
08 Droste Recursion, applied to “Steel suspension bridge wires (Unsplash)”The complex web of suspension cables and masonry towers of the Brooklyn Bridge stretches across the frame. These architectural elements spiral into the center, creating a rhythmic, echoing pattern of steel and stone.Vita Vilcina vivivi (photo); processed for the Atlas · CC0 · Wikimedia Commons
Droste Recursion, applied to “Interior vintage car. (Unsplash VhZwLM6DIdw)”
09 Droste Recursion, applied to “Interior vintage car. (Unsplash VhZwLM6DIdw)”The vintage interior of a classic car highlights a steering wheel and a detailed wood-grain dashboard. The entire cockpit view is nested within itself, generating a recursive tunnel effect through the windshield.Ryan Tauss ryantauss (photo); processed for the Atlas · CC0 · Wikimedia Commons

Sources