Ideogram unveils Ideogram Tile, an AI-powered pattern generator that creates seamless, repeating patterns from text prompts, revolutionizing creative workflows across industries.

Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss () ...

The new tile also makes a pattern that never repeats, but without such reflections, the researchers report May 28 at arXiv.org. Because the shape isn’t accompanied by its reflection, ...

The original version of this story appeared in Quanta Magazine. If you want to tile a bathroom floor, square tiles are the simplest option—they fit together without any gaps in a grid pattern ...

And, as before, the pattern ABA will never repeat. Even if you start with something like AAA, the same thing will happen. …AAAABBBAAABBBAAAA… Whatever you start with, the initial tile will always be ...

The craggy, hat-shaped tile can cover an infinite plane with patterns that never repeat. Skip to main content. Scientific American. April 10, 2023. 9 min read.

Usually when he created tiles, they would either settle into some repeating pattern or fail to tile much of the screen. But the hat tile seemed to do neither. Smith cut out 30 copies of the hat on ...

Mathematics Mathematicians discover shape that can tile a wall and never repeat. Aperiodic tiling, in which shapes can fit together to create infinite patterns that never repeat, has fascinated ...

A 13-sided tile called “the hat” forms a pattern that covers an infinite plane yet it cannot repeat, making it a long-sought shape known as an “einstein.” ...

Is it possible to tile a surface with a single shape in such a way that the pattern never repeats itself? In 2022, a mathematical solution to this 'Einstein problem' was discovered for the first time.