We are thrilled to announce the first NFT drop of the Lissajous series (since 1998) by Herbert W. Franke (b. 1927), the pioneer of computer art! The exclusive 11 artworks are now available as unique NFTs on OpenSea in two series Lissajous blue/orange and Lissajous pink/turquoise, here is the link to explore the drop: https://opensea.io/collection/herbertwfrankelissajous

The artist has been interested in mathematical aesthetics for the last decades and had experimented with algorithms and computer programs to visualize math in art.

NFT **Lissajous Pink/Turquoise No.3 by Herbert W. Franke**

"Art is always about mathematics. Every image can be described mathematically. This also applies to music, take, for example, the theory of harmony in music. There are examples from the history of art - the so-called `golden ratio`, which has its origins in ancient Greece and has always been considered the essence of aesthetics. There is nothing more than a formula behind it. Human perception is a process of data processing. We analyze, filter and encode all information that affects us. Above all, filtering is crucial because we have only limited processing capabilities." states Franke.

As the last chapter of our current solo exhibition Math Goes Art, we showcase the latest period of Herbert W. Franke so-called Math Art, with which he visualized different mathematical principles, equations and theories.

Shape of Lissajous figures for various ratios of periods. In the pre-digitization era, mathematicians and scientists were very clever in using what was available to investigate the methods of natural phenomena at the time. Among the most common techniques was the use of small mirrors suspended from threads, tuning forks, or springs because the harmonic motion of the placement was sinusoidal. They traced the waveform with a beam of light (not a laser, of course) directed at a mirror and a reflection directed at a flat surface.

Lissajous figures combine mathematical elegance, engineering applications, and artistic possibilities.
Lissajous figures (or curves): Even if you don’t know what the name refers to, you’ve most probably seen them. Lissajous figures can be defined as any of an infinite variety of curves formed by combining two mutually perpendicular simple harmonic motions, commonly exhibited by the oscilloscope, and used in studying frequency, amplitude, and phase relations of harmonic variables. They are named after the French physicist Jules Antoine Lissajous (1822-1880). Lissajous curves are sometimes also known as Bowditch curves after Nathaniel Bowditch, who studied them in 1815, but were studied in more detail by Jules-Antoine in 1857.

The original Lissajous series by Franke are 3D, the symmetric form of the original Lissajous was manipulated by stretching and squeezing it.

The exclusive 11 artworks are now available as unique NFTs on Opensea in two series: Lissajous blue/orange and Lissajous pink/turquoise. https://opensea.io/collection/herbertwfrankelissajous

Preview them below: