This project explores the highly mathematical world of Islamic geometric patterns.

Islamic design is one of the world's great artistic traditions, but not much is known about the methods used by artisans in centuries past to construct them. One of the first attempts to formalize the geometry behind Islamic patterns was E.H. Hankin's seminal 1908 paper "Polygons in Contact", which remains a key technique today. Our project combines the approach described by Hankin with transformations of designs found at real-world historical sites.

Two Mathematicians avoids traditional ornamentation and colouring. It seeks to find beauty in the geometry of the patterns themselves, embellishing only with subtle combinations of basic line and dot shapes. Its two archetypes contrast the precision and order found in Islamic patterns with the informality of a rough draft. In that, it reflects the personalities of its creators, alternating between the obsessive need for order and exactness, and the embrace of just winging it.

Controls:
- Zoom in or out with scroll wheel, or arrow up/down. 
- Press 'i' to see the underlying structure.

Two Mathematicians

We've studied the strange geometric images since they appeared. Our instruments detect new shapes, new colors, more depth, and detail. Are they evolving, or just getting closer? More study is needed.

Eccentrics 2: Orbits

Letters to My Future Self is a series looking at communication through time. There is so much I want to tell my future self that words can't express: from the fear and anger I've felt in lockdown isolation to the joy in finding new friends and community. Each piece in this series becomes a small part of a much bigger story -- letters sent into the future expressing our collective hopes, fears, sadness, and love. A moment in time captured in perpetuity on the blockchain for future generations to find and reflect on. 25% of proceeds will support future artists through art education grants via Donors Choose.

Letters to My Future Self

Departing from generative art’s focus on the size and variety of algorithmic outputs, Coalition contains just 36 geometric creations. Every mint is composed of unique combinations of line, shape, and color, making them artworks unto themselves. However, just as significant as the individual mints is the larger series of which they are each a part. When viewed collectively as a 6x6 grid, the 36 tokens make up a larger, single artwork, the titular Coalition. Patterns and palettes that exist across different tokens come together seamlessly in the Coalition, allowing users to recognize their mint as an indispensable element of the coherent whole.

By highlighting the inextricable relationship between the single set and its 36 components, Coalition suggests that storytelling must play a vital role in the future of generative art. The medium’s current emphasis on long-form algorithmic exploration has come at the expense of narrative craft. While long-form algorithmic exploration has produced groundbreaking artwork and will continue to do so, our project urges practitioners and collectors to consider generative art’s capabilities outside of replicating the look of analog media. Instead of attempting a mimesis of old modes of production, Coalition foregrounds the stories about human experience that emerge when artists free their code from the burden of replicating paint and paper. We ask, does the “art” in generative art refer to the algorithm, or the outputs?

To encourage artists and collectors to value storytelling and limitation in their NFTs, Coalition doubles as performance art. While the set is limited to 36 mints, a 37th is available for purchase. The collector who buys the final token will find only an error message. The algorithm self-destructs after mint #35. Read about why we chose to do this [here](https://medium.com/@generativeartworks/from-reservation-to-coalition-the-stories-that-generative-art-can-tell-d5466e7ba15b).

There can be no avant-garde because everything has been done.
—Pedro Friedeberg

Coalition

Perpetua is a collection of generative weavings.
 
Fabric emerges from a series of binary choices as horizontal threads go over or under vertical threads. These decisions are interconnected, systematic, and give rise to an infinite variety of patterns, making weaving an ancient generative art. In essence, weaving is a practice of meticulous matrix multiplication calculated in threads. 

We construct each Perpetua image, just like many weavers do, as the product of three binary matrices (the “treadling”, “tie-up”, and “threading”). This kind of design schematic is called a weaving draft and it allows us to converse with traditional weaving patterns and symbols while also extending into alien weavings that would be physically impossible to produce.

Art Blocks Presents

Two Mathematicians #0

BY MA

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