I added several new self-replicating tiles to my "Fractal Reptiles Based on Polyforms" website. I'll be talking about these at the Bridges Conference in Galway, Ireland this week. mathartfun.com/fractaldiver...
@robertfathauer.bsky.social
Fractal self-replicating tile formed by iterating a tri-kite, reflecting between successive iterations
The Dice Lab's popular Skew dice gamer's set is now available in purple and Malachite. mathartfun.com/DiceLabDice....
Over 5,500 mathematical artworks can now be browsed in an attractive new gallery-wall layout on the Bridges website, thanks to the efforts of Nathan Selikoff: gallery.bridgesmathart.org/gallery?seed...
I don’t recall ever seeing a toroidal box before. This one, at the Phoenix Art Museum, is a beauty. Chinese, Qing Dynasty (1650-1700), cloisonné enamel on bronze, for Buddhist prayer beads.
The website for the 2026 Bridges Conference Exhibition of Mathematical Art, Craft, and Design is now live, featuring the work of more than 150 artists. gallery.bridgesmathart.org/exhibitions/...
My 2027 Bridges Conference paper, entitled “Iterating Polyiamonds, Polyhexes, and other Polyforms to Create Fractal Reptiles,” is available: mathartfun.com/fractaldiver...
These pavers are seen throughout the historic center of Puebla, Mexico.
New hand-built ceramic piece, with bamboo and leather; mathematically, a Hopf link with Seifert surface. www.mathartfun.com/robertfathau...
Emily Groshoz, a poet and philosopher who was a member of the Bridges community, passed away on May 2nd. You can read one of her math-inspired poems, "In Praise of Fractals", here: mathartfun.com/fractaldiver...
A fractal self-replicating tile created by iterating a pentabolo
Pavers in Negombo, Sri Lanka, photogaraphed by a friend earlier today
Another √6-scaled fractal self-replicating tile. This one is based on a rhombic grid in which the grid cells have diagonals measuring 1 and √15/3.
Using square- or triangle-based grids, there are no overlapping transformations of the grid for n = 6. By distorting a grid, for example stretching a square grid by √2, n=6 becomes allowed. Here a hexa-rectangle is used to form a fractal self-replicating tile.
Charles O Perry sculpture in the lobby of the Hyatt Regency in San Francisco
Fractal self-replicating tile created by iterating a tetrakite seven times
Wth Sujan Shrestha at the Computer Museum, in Hunt Valley, MD last week. This is one of around 70 Apple-1 computers whose whereabouts are known, out of around 200 total made.
The online gallery for 2026 Joint Mathematics Meetings Exhibition of Mathematical Art is now live: gallery.bridgesmathart.org/exhibitions/....
5-stars were commonly used on the ceilings of tombs and other buildings in Ancient Egypt to depict the heavens. They are usually not connected to one another, but they are connected in this ceiling in the Ptolemaic Denderah Temple to form a sort of tessellation of hexagons and quadrilaterals.
Ancient Egyptian numbers used to track sacrifices on the side of the Temple of Ramesses III (1217 BC - 1155 BC) in Luxor. A vertical tick mark denotes 1 and an inverted U ten.
Great "tessellation" on the ceiling of the 20th Dynasty (ca 1100 BC) Tomb of Anherkha in the Valley of the Workers in Luxor
Everyone is invited to attend the SCULPT 2025: Show & Tell, a digital gathering that celebrates creative exploration across art, geometry, design, and fabrication. Date: Friday, November 7, 2025 Time: 8:00 – 10:30 AM (PST) Zoom Link: cca.zoom.us/j/9826107944...
Polyaboloes, polygons formed by joining isosceles right triangles in edge-to-edge fashion, can also be arranged iteratively to form fractal self-replicating tiles. A particular tetrabolo was used to form these two reptiles, with mirroring between successive iterations employed in the right one.
Two fractal self-replicating tiles formed by iterating a 4-rhomb. On the right with mirroring between successive iterations.
