Apollonian Gasket
This Apollonian Gasket print presents a classic fractal geometry in striking, precise form. This print begins with a configuration of four starting circles, defined by the root quadruple curvatures: negative twelve, twenty-five, twenty-five, and twenty-eight. Through seven intricate rounds of replacements, new circles are recursively added to fill every possible gap, building up an intricately layered structure.
Each step multiplies the pattern, with circles added in quantities like three, nine, twenty-seven, eighty-one, and eventually over two thousand per depth. The increasing totals quickly soar, culminating in thousands of finely nested shapes.
This geometric marvel is rooted in mathematical history and named after Apollonius of Perga, who first studied problems related to tangent circles in ancient Greece. The Apollonian gasket exemplifies how simple rules — here, the replacement of gaps with smaller, tangent circles — can yield endlessly complex, self-similar forms. Its one-axis mirror symmetry (classified as D₁) and a universal Hausdorff dimension of roughly 1.30568 make it a showcase for both symmetry and fractal dimension in mathematics.
The recursive process not only reveals the interplay of geometry and number, but also connects to deeper questions about packing, symmetry, and the distribution of curvatures. Each layer exposes a greater depth and an unexpected richness — visual proof of how mathematical abstraction finds order within limitless complexity.
Every print is produced in open edition on museum-grade 250gsm archival matte paper, lending both weight and subtlety to the fine detail. Crisp contrasts and a soft matte finish highlight the minute geometry, resulting in a timeless and contemplative addition to any collection or space.
Signature Series
The Signature series forms the core of Atomic Printworks — a series of mathematical visualisations and scientific infographics that reveal the structures underlying our world.
From geometry and number theory to astronomy, geology, and evolutionary biology, each design transforms data and theory into elegant visual form.
These works celebrate the shared language of science and design: clarity, proportion, and order made visible.
Printing & Materials
Our Signature series is produced in collaboration with specialist fine-art printing partners using museum-grade 250 gsm archival giclée paper.
Each print is made to order with exceptional precision and colour accuracy, using pigment-based inks for long-term stability and rich tonal depth.
Prints are carefully rolled in acid-free tissue and shipped in rigid cardboard tubes to ensure they arrive in perfect condition, ready for framing.
All materials and processes are chosen for their longevity, texture, and fidelity to the original artwork, reflecting our commitment to quality and craft.