Known as a universal genius, Herbert W. Franke (1927-2022) is the forefather of computer art, co-founder of Ars Electronica, mastermind of the Metaverse, and science-fiction writer. He spent his entire career bridging the worlds of art and science.
EXPANDED.ART represents the estate of Herbert W. Franke. 
ABOUT MATH ART
In 1980, Herbert W. Franke began a fifteen-year collaboration with programmer Horst Helbig at the German Aerospace Center. Together, they studied mathematical disciplines in relation to aesthetics. The series MATH ART is the output of their research at the intersection of science and art. It reveals a universe of numbers transformed into images through a variety of shapes and colors reminiscent of Pop Art. 
Throughout his entire life, Herbert W. Franke used mathematical principles for art experimentation. From the very beginning, it was clear to him that it is the artist's mission to examine new technologies and their social significance through the lens of their creative potential. For Herbert W. Franke mathematics are the essence of visual arts. While he saw the artist as an analytical maker using mathematics to create structures, he assigned the computer the task of modulating these principles of order through varying random processes. Franke, therefore, considered the computer as a creative partner for the artist very early on.
The color served to code certain structural elements and was of fundamental importance. The computer system at DLR in Oberpfaffenhofen, which was powerful at the time, had integrated output equipment with which the digitally developed image worlds were transferred directly to high-resolution photo film. On his own DOS PC, Franke created the preparatory work for the captivatingly vivid aesthetics of this mathematical investigation.
In the beginning, there were algebraic formulas for three-dimensional spatial areas: The three dimensions were converted into two-dimensional landscapes, whereby the "contour lines," i.e., the z-axis of the room, were color-coded with specially developed color grids. Starting with algebraic landscapes, the two worked their way through a wide variety of disciplines via wave functions, Fourier transformations, broken dimensions, and logical connections, until they finally visualized complex and irrational numbers as well as random processes and logical connections with their method.
ABOUT EXPANDED.ART's HISTORICAL EDITIONS
EXPANDED.ART’s Historical Editions are artistically influential works by pioneers of digital art from the 20th century. By representing estates, EXPANDED.ART ensures the legacy of both artists and artworks and recontextualizes them for a new audience.

Title

Math Art Fraktal

Known as a universal genius, Herbert W. Franke (1927-2022) is the forefather of computer art, co-founder of Ars Electronica, mastermind of the Metaverse, and science-fiction writer. He spent his entire career bridging the worlds of art and science.
EXPANDED.ART represents the estate of Herbert W. Franke. 
ABOUT MATH ART
In 1980, Herbert W. Franke began a fifteen-year collaboration with programmer Horst Helbig at the German Aerospace Center. Together, they studied mathematical disciplines in relation to aesthetics. The series MATH ART is the output of their research at the intersection of science and art. It reveals a universe of numbers transformed into images through a variety of shapes and colors reminiscent of Pop Art. 
Throughout his entire life, Herbert W. Franke used mathematical principles for art experimentation. From the very beginning, it was clear to him that it is the artist's mission to examine new technologies and their social significance through the lens of their creative potential. For Herbert W. Franke mathematics are the essence of visual arts. While he saw the artist as an analytical maker using mathematics to create structures, he assigned the computer the task of modulating these principles of order through varying random processes. Franke, therefore, considered the computer as a creative partner for the artist very early on.
The color served to code certain structural elements and was of fundamental importance. The computer system at DLR in Oberpfaffenhofen, which was powerful at the time, had integrated output equipment with which the digitally developed image worlds were transferred directly to high-resolution photo film. On his own DOS PC, Franke created the preparatory work for the captivatingly vivid aesthetics of this mathematical investigation.
In the beginning, there were algebraic formulas for three-dimensional spatial areas: The three dimensions were converted into two-dimensional landscapes, whereby the "contour lines," i.e., the z-axis of the room, were color-coded with specially developed color grids. Starting with algebraic landscapes, the two worked their way through a wide variety of disciplines via wave functions, Fourier transformations, broken dimensions, and logical connections, until they finally visualized complex and irrational numbers as well as random processes and logical connections with their method.
ABOUT EXPANDED.ART's HISTORICAL EDITIONS
EXPANDED.ART’s Historical Editions are artistically influential works by pioneers of digital art from the 20th century. By representing estates, EXPANDED.ART ensures the legacy of both artists and artworks and recontextualizes them for a new audience.

Math Art Komet

Known as a universal genius, Herbert W. Franke (1927-2022) is the forefather of computer art, co-founder of Ars Electronica, mastermind of the Metaverse, and science-fiction writer. He spent his entire career bridging the worlds of art and science.
EXPANDED.ART represents the estate of Herbert W. Franke. 
ABOUT MATH ART
In 1980, Herbert W. Franke began a fifteen-year collaboration with programmer Horst Helbig at the German Aerospace Center. Together, they studied mathematical disciplines in relation to aesthetics. The series MATH ART is the output of their research at the intersection of science and art. It reveals a universe of numbers transformed into images through a variety of shapes and colors reminiscent of Pop Art. 
Throughout his entire life, Herbert W. Franke used mathematical principles for art experimentation. From the very beginning, it was clear to him that it is the artist's mission to examine new technologies and their social significance through the lens of their creative potential. For Herbert W. Franke mathematics are the essence of visual arts. While he saw the artist as an analytical maker using mathematics to create structures, he assigned the computer the task of modulating these principles of order through varying random processes. Franke, therefore, considered the computer as a creative partner for the artist very early on.
The color served to code certain structural elements and was of fundamental importance. The computer system at DLR in Oberpfaffenhofen, which was powerful at the time, had integrated output equipment with which the digitally developed image worlds were transferred directly to high-resolution photo film. On his own DOS PC, Franke created the preparatory work for the captivatingly vivid aesthetics of this mathematical investigation.
In the beginning, there were algebraic formulas for three-dimensional spatial areas: The three dimensions were converted into two-dimensional landscapes, whereby the "contour lines," i.e., the z-axis of the room, were color-coded with specially developed color grids. Starting with algebraic landscapes, the two worked their way through a wide variety of disciplines via wave functions, Fourier transformations, broken dimensions, and logical connections, until they finally visualized complex and irrational numbers as well as random processes and logical connections with their method.
ABOUT EXPANDED.ART's HISTORICAL EDITIONS
EXPANDED.ART’s Historical Editions are artistically influential works by pioneers of digital art from the 20th century. By representing estates, EXPANDED.ART ensures the legacy of both artists and artworks and recontextualizes them for a new audience.

Math Art

DRAKULA stands for Dragon Curves Superimposed (German: Drachenkurven überlagert). The dragon curve is a fractal object. The basic idea was first explored by NASA physicists John Heighway, Bruce Banks, and William Harter and described by Martin Gardner in his 1967 Mathematical Games column in Scientific American. However, the mathematical theory for this was not developed until 1970 by the mathematician Chandler Davis and the computer scientist Donald Knuth.

Dragon curves are created by sequences of left and right turns according to certain rules. The program allows dragon curves of different orders – or sections of them – to be lined up and superimposed. Left and right turns were not only represented in the usual way by right-angled bends but also by mathematically defined elements, such as triangles or curved sections of curves with multiple curves. These elements were designed in such a way that when they are superimposed, clearly recognizable new form elements are created through overlaps and attachments. The superimposition of closed curves in different colors is particularly attractive. The dragon curves were also interesting for Franke as an object of experimental aesthetics and for his studies on information psychology, since here the rare case of an easy possibility of specifying their statistical information (complexity) occurs; this is equal to the number of 0,1 indications used to construct it.

Franke also overlaid dragon curves – mostly mirrored – and not only used straight lines as individual elements but also other shapes, such as semicircles or triangles, as basic elements.

The pictures of DRAKULA were made with a Siemens System 4004. The Fortran program was written by Peter Henne from the Gesellschaft für Datenverarbeitung GMD according to detailed specifications from Franke. The plots were realized by Peter Vordermaier at Siemens AG. A complete printout of the program is available. 
 
ABOUT EXPANDED.ART'S HISTORICAL EDITIONS

EXPANDED.ART’s Historical Editions are artistically influential works by pioneers of digital art from the 20th century. By representing estates, EXPANDED.ART ensures the legacy of both artists and artworks and recontextualizes them for a new audience.

Drakula

Edition

Crayon Country

HISTORICAL EDITIONS

LIMITED EDITION: PLOTTER DRAWINGS

Line Drawing S1

24-HOUR EDITION DROP I ED BRONER 7 FEBRUARY - 8 FEBRUARY 6 PM CET - 6 PM CET 
Ed Broner is a self-taught French artist born in Paris. He began painting in the late 1980s and was a member of the Parisian graffiti subculture before relocating to Berlin to focus on painting. Ed Broner uses photos and canvases as his personal diary. Especially in his paintings, he highlights the beauty of realness and authenticity while at the same time honoring the ideas and symbols of modern urban subcultures. In his style, he combines influences from graffiti and contemporary painting as well as from Aboriginal and African art, thus opening a dialogue between "Western" and "non-Western" cultures. In reflecting on and often subversively ironizing current aesthetics, Ed Broner asks about the nature of humanity in a postmodern world. He has published the photo book "Vagabondage" (Hatje Cantz) and has exhibited his work in solo and group shows internationally, such as at the Palais de Tokyo (2010) and Kunstforeningen Det Ny Kastet (2021).
ABOUT THE WORK
"The work CROCODILES ARE HUNTING emerged in 2020 during the first COVID lockdown. It reflects on the uncertainty of the world we are living in, in which one everything can change from one day to another. It can be a dangerous place. The image depicts the jungle and paradise implementing that the world can be the most beautiful but also a dangerous place. We shouldn’t take anything for granted but always have hope." – Ed Broner
INDIVIDUALISATION
The artist individualizes each edition himself by adding elements on the print using acrylic markers – making each edition unique.
ABOUT THE FRAME
The frame is white spruce wood with acrylic glass that has 84% UV protection. Framed dimensions are 83 x 63 cm; 27.8 x 19.9 in.
ABOUT THE 24-HOUR EDITION DROP
The 24-HOUR EDITION DROP is a concept which allows artists to sell an unlimited amount of physical editions within the limited time frame of 24 hours on EXPANDED.ART. Each 24-HOUR EDITION DROP edition will be available for 24 hours only, then never again.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All 24-HOUR EDITION DROP prints are made to order. Each artwork will be produced and personalized specifically for each client, the artwork therefore is not eligible for return.
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Option

Crocodiles Are Hunting

24-HOUR EDITION DROP I JONATHAN MONAGHAN 16 FEBRUARY - 17 FEBRUARY 6 PM CET - 6 PM CET 
Jonathan Monaghan is an artist working across a range of media, including prints, sculpture and computer animated video, to produce otherworldly objects and narratives. Drawing on wide-ranging sources, such as historical artworks and science fiction, his fantastical pieces uncover subconscious anxieties associated with technology and consumerism. Past exhibitions include The Sundance Film Festival, The Walters Art Museum in Baltimore, and The Palais de Tokyo in Paris. His work has been featured in several media outlets including The New York Times, Vogue, and The Washington Post. His work sits in numerous public and private collections including The Crystal Bridges Museum of American Art and the Phillips Collection in Washington, D.C.
ABOUT THE WORK
MYSTICAL UNICORN transforms an iconic medieval tapestry of a unicorn in captivity into an otherworldly vignette. Enclosed in a ring of security checkpoints, this mythical creature is trapped by technology. Inspired by the famous series of tapestries known as the Hunt of the Unicorn, Monaghan draws from its use of pagan imagery and references. By re-imagining these ancient mythologies and symbols, Monaghan provides a modern mythical narrative for the digital age.
INDIVIDUALISATION
The artist will doodle on the print, adding in designs to the fabric buttons in ink – making each edition unique.
ABOUT THE FRAME
The frame is natural ayous wood with acrylic glass that has 84% UV protection. Framed dimensions are 63 x 43 cm; 24.8 x 16.9 in.
ABOUT THE 24-HOUR EDITION DROP
The 24-HOUR EDITION DROP is a concept which allows artists to sell an unlimited amount of physical editions within the limited time frame of 24 hours on EXPANDED.ART. Each 24-HOUR EDITION DROP edition will be available for 24 hours only, then never again.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All 24-HOUR EDITION DROP prints are made to order. Each artwork will be produced and personalized specifically for each client, the artwork therefore is not eligible for return.
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Mystical Unicorn

24-HOUR EDITION DROPS

PHYGITAL EDITION

In celebration of youth culture and coming-of-age tropes, "NO, DON'T DISAPPEAR [WM-2]" from Skye Nicolas' Walkman series elevates portable music devices such as the Sony Walkman as cerebral or dematerialized readymades: conceptual digital representations of physical objects contextualized as digital artifacts containing data.
The series typifies Nicolas<meta charset="utf-8">' pixel paintings in which remixed images are reduced to their essential structure, the outline. Graphic elements are streamlined into nebulous shimmering pixels that dance across the contrasting dark background of the digital canvas. Declarative statements glide across the screen (often lifted from 1980’s and 1990’s era song lyrics), serve as both internal dialogue and a crucial visual detail to complete the digital painting’s overall composition. The result of this process of reduction and layered storytelling is a visually poetic distillation in which the viewer finds themselves occupying; an intangible dreamscape atmosphere arousing an induced nostalgia that seduces and captivates the senses.
ABOUT THE NFT 
Collectors purchase the physical edition on EXPANDED.ART. The artist mints the NFT on Tezos and sends it via Airdrop to the collector’s wallet. 
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print.

NO, DON’T DISAPPEAR [WM-2]

Limited Editions

While photographer Heinrich Heidersberger did contract work for well-known architects of the Braunschweig School, he also began to experiment with luminography – the recording of a source of light in motion – at the beginning of the 1950s. He was fascinated by the idea of letting light itself become the object.
The invitation in 1955 to create a mural for the newly constructed School of Engineering in Wolfenbüttel was a welcome occasion for Heidersberger to become more involved with luminography. He began to build a device that he could use to record traces of light directly on photo material. The artist named the pictures he created rhythmograms and continued to pursue his experiments with great enthusiasm. 
Different to the constructive work of his contemporaries, who were following similar ambitions, Heidersberger’s light images have a three-dimensional aspect and also include coincidence as a principle in their design. Heidersberger found the inspiration for the multi-dimensional solution in reading a book on "Physics in Graphical Pictures". There he discovered the figures of the physicist Jules Antoine Lissajous and they challenged him to get similar results in photography.  <meta charset="utf-8">
ABOUT THE LIMITED EDITION
The LIMITED EDITION print is unsigned and was printed in 2023.

#3782_182b Rhythmogramm

STELLA NOVA by JULIEN ESPAGNON is a generative curated project. It's the result of much research and variations of a plastic exploration of an event: the Supernovas. This series is based on the principle of cutting and splitting shapes, allowing the discovery of the different phases of the death of a star. The result is an abstract visual interpretation of the chaos coming from the explosion. It is after many explorations—first focused on the figurative and organic aspect of the result, followed by the abstraction of the form by its geometrization—that this work progresses around colors in order to reflect the luminosity of this event. ABOUT THE EDITION NUMBER The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print.

Stella Nova

ABOUT THE EDITION NUMBER The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print.

Never Not in Rio

As far as images of femininity and debates about beauty ideals are concerned, Swedish artist Arvida Byström is one of the leading voices on social media and beyond. Using selfie sticks and fruit in underwear, she updates the genres of portrait and still life for the 21st century with Internet culture in mind. Her visual language is cute and girlish, and she employs the color pink as a symbol of femininity without irony. Technology has always been present in Byström’s works, in the form of smartphones and laptops. She speaks to a generation of people who pick up their smartphones first thing in the morning and only put them down when they are about to shut their eyes at night. Does technology rule over us and our bodies, or are we the ones who rule over technology?

Tanline I

BLOODY BLOOD ORANGES is a photograph from Margaret Murphy’s series “I Could Look at You All Day, made in 2020. The project consists of self-portraits and still lives made in Murphy’s home. The pictures visualize her interest in self-perception, consider the male gaze and play amongst social media’s influence on contemporary photography.
John Berger writes in WAYS OF SEEING, that a woman must simultaneously be both "the surveyor" and “the surveyed” because how she appears to those outside herself is critical to her success in life. Murphy’s photographs ask how this concept—and internalized misogyny—shapes the way we understand ourselves in the world. The companionship of still lives and portraiture in the project invites the viewer to survey moments of intimacy, reflection, disgust, celebration, and ambivalence within the world of Murphy's creation: a woman in flux between the standards set before her and the standards that she inherently feels exist within her. 
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity Sticker signed and numbered by the artist.

Bloody Blood Oranges

Tanline II

IN THIS MOMENT is a painting about mystery and stillness. The spark painted alternately on the earring or snake ring suggests a secretive world of feelings and thoughts of the mystery heroin portrayed.  Open to interpretation, it is an invitation to float beyond what is seen, and imagine the unknown. Because who doesn’t love a good secret?
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. This LIMITED EDITION is signed and numbered by the artist.

In This Moment

DOGGYSTYLE is not only the name of the legendary debut album by American rapper Snoop Doggy Dogg, it is also the title of this limited edition by Daniel Gebhart de Koekkoek. Featuring dogs with style.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print.

Bruno

DOGGYSTYLE is not only the name of the legendary debut album by American rapper Snoop Doggy Dogg, it is also the title of this limited edition by Daniel Gebhart de Koekkoek. Featuring dogs with style.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print.

Bertha

DOGGYSTYLE is not only the name of the legendary debut album by American rapper Snoop Doggy Dogg, it is also the title of this limited edition by Daniel Gebhart de Koekkoek. Featuring dogs with style.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print.

Ragna

Limo

DOGGYSTYLE is not only the name of the legendary debut album by American rapper Snoop Doggy Dogg, it is also the title of this limited edition by Daniel Gebhart de Koekkoek. Featuring dogs with style.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print.

Bright colors and the extensive use of flash are ever-present elements in Maxime Ballesteros’s works. MAN'S BEST FRIEND shows a pack of poodles gathering on the streets and features the artist’s distinctive visual language.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print. 
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Man's Best Friend

As part of the image series published in the Studio Magazine, Maxime Ballesteros captured the dancers at the collective (LA)HORDE exploring the body as the medium⁠: a physical exploration of space, structure and form.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print. 
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(LA)HORDE

The LUCKY HORSE, two subjects yet one adjective. Each of them is fortunate to encounter the other. One might say that, it goes beyond chance and that there is a providential element to their meeting. There is an underlying perseverance, though not inherent with the focus on having a positive outcome in their coming together. The Luck is represented by the two distinct Four-Leaf clovers, juxtaposed with fragrant flowers over each subject as an expression of the bloom and aroma of love, built upon a solid foundation represented by an ancient mosaic-like pattern.
ABOUT THE EDITION NUMBER
The editions are numbered randomly, i.e. the edition number is not chronologically assigned to the time of order receipt. All LIMITED EDITIONS are authenticated with a Certificate of Authenticity signed and numbered by the artist on the back of the print.

Lucky Horse

"What makes you happy? A cookie?" – Andy Kassier ABOUT THE HAPPINESS COOKIES  Each HAPPINESS COOKIE by Andy Kassier is unique due to the fortune inside which will only be revealed to the collector.

Happiness Cookies

LIMITED EDITIONS

FLIPS by Leander Herzog consist of 6 billion dots on 300-DIN A1 prints and 300 NFTs minted by the artist on the blockchain Tezos. Created with Javascript and WebGL in the browser, tree structures grow recursively until dots are placed at the ends of every branch. The composition and shapes emerge from this minimalist generative process.
ABOUT THE EDITION NUMBER
All 600 pieces of the limited edition FLIPS are unique and numbered. Collectors can choose the edition they would like to purchase. All LIMITED EDITIONS on EXPANDED.ART are authenticated with a Certificate of Authenticity on the back of the print, signed and numbered by the artist.
HOW TO COLLECT
Collectors can purchase the physical edition on EXPANDED.ART (150,- EUR) and the NFTs on <a href="https://objkt.com/collection/KT1XS4PUKDT8KpTuQTdbfFgqF23SYN38KLos" rel="nofollow" target="_blank">OBJKT.COM</a> (100 Tez).

EXPANDED Editions

HISTORICAL EDITIONS

LIMITED EDITION: PLOTTER DRAWINGS

24-HOUR EDITION DROPS

PHYGITAL EDITION

LIMITED EDITIONS

SPECIAL LIMITED EDITION | LEANDER HERZOG