Imagined fractal sea creatures by digital artist ~lordsong 

Beautifully complex fractal art by Pharmagician

Elegant fractal art by Pharmagician

Fascinating fractal art by Silvia Cordedda

Digital art by Pam Amos

Work by Jason Padgett, a man with Acquired Savant Syndrome who now sees all of reality as mathematical fractals describable by equations. 

About:

The beauty of numbers and their connection to the pure geometry of space time and the universe is shown in his fractal diagrams…He is currently studying how all fractals arise from limits and how E=MC2 is itself a fractal. When he first started drawing he had no traditional math training and could only draw what he saw as math. Eventually a physicist saw his drawings and helped him get traditional mathematics training to be able to describe in equations the complex geometry of his drawings. He is currently a student studying mathematics in Washington state where he is learning traditional mathematics so he can better describe what he sees in a more traditional form. Many of the captions were written before he had any traditional math training. His drawing of E=MC^2 is based on the structure of space time at the quantum level and is based on the concept that there is a physical limit to observation which is the Planck length. It shows how at the smallest level, the structure of space time is a fractal…So sit back and enjoy the beauty of naturally occuring mathematics in pure geometric form connecting E=MC2 (energy) to art. All are HAND DRAWN using only a pencil, ruler and compass. 

Fractal Forms by Daniel Widrig

Captured Lightening by Ben Hickman

About the work:

Captured Lightning sculptures are branching patterns of internal fractures that have been permanently captured deep inside various shapes of crystal-clear acrylic. Technically known as Lichtenberg Figures, they were created by carefully trapping and discharging millions of volts of electrical charge inside pieces of clear acrylic using a high-energy particle accelerator. These complex, permanent figures are formed when the trapped charges suddenly escape in a brief, lightning-like discharge. The intensely hot sparks leave behind permanent “fossilized” tree-like chains of microscopic fractures and tubes that reflect light like microscopic mirrors. Captured Lightning sculptures are fully discharged and are completely safe. They combine the technologies of particle beams and polymer physics with the natural beauty of fractals to create unique creations of scientific art.

Math & Fractals by Antonio Village9991

Nuala O’Donovan makes ceramic pieces that are patterned after nature. These are part of her Teasel Series which is based on the teasel flower.

O’Donovan on her work:

I have used the characteristics of irregular/fractal patterns in nature as a system of constraints or guidelines when making decisions about the forms: The patterns are regularly irregular. The patterns and form are self-similar. The pattern records a response to random events during the making process. The result of using the characteristics of fractal geometry in making decisions regarding the form of the sculptural pieces, is that the form is resolved but retains a sense of potential change. The viewer engages with the piece by allowing their own visual experiences to influence their view of the outcome of the form and its future possibilities. I hope that this aspect of my work also evokes the transitory quality of living organisms, combining traces of history, the present and the future, in the patterns that make up their surfaces and forms.

My decision to research patterns and forms from nature stemmed from my interest in the narrative quality of irregularities in patterns. The history behind a scarred or broken surface is what fascinates me. The evidence of a response to random events visible in patterns in nature, is testament to the ability of living organisms to recover, to respond, and to continue growing and changing. It is the imperfections in the patterns caused by a unique experience that are evidence of the life force in living organisms.

Images of Aggregation by Andy Lomas.

Lomas on his work:

These works come from a study of organic natural forms and their relationship to simple mathematical rules.

Influenced by the work of D’Arcy Thompson, Alan Turing and Ernst Haeckel, they study how intricate forms of plant and coral like structures can be created by digital simulation of flow and deposition.

The sculptural shapes are created by a process of accretion over time. They are gradually grown by simulating the paths of millions of particles randomly flowing in a field of forces. Over time they build on top of an initial simple seed surface to produce structures of immense complexity.

Fractals by Matt Walford

Walford on his project:

This series of still life images are based on ‘Fractals’ which are…Rough or fragmented geometric shapes that can be split into parts, each of which is approximately a reduced-size copy of the whole…. They were made using natural leaves and flowers, to create these naturalistic geometric patterns.

One Hundred Nanoseconds by Todd Johnson

About the piece:

These pieces are created with the help of a particle accelerator. The accelerator produces up to five million volts and is used to accelerate a beam of electrons. The electrons are fired at pieces of acrylic plastic and penetrate deep within the slabs, resulting in a pool of electrons trapped under tremendous electrical potential.

The trapped charge is then carefully released by applying mechanical shock with a sharp insulated tool, and the electrons escape with a bright flash and loud pop. As the charges leave the plastic, they gather into channels following fractal branching rules just like river deltas, plants, and capillaries.

Controlling the energy and placement of the beam determines the final shape and character of the resulting figure.

Above are video stills for what may be one of the coolest store displays ever. L’Eclaireur’s Sévigné space in Paris commissioned 12 looping fractals from Subblue to be played across 147 screens that are arranged on the walls like picture frames. If they’re anything like Sublue’s previous work, I’d be way too mesmerized to shop.