robertfathauer.bsky.social @robertfathauer.bsky.social · 07/09/2026Spial aloes in Lesotho, where they are the national flower 272
robertfathauer.bsky.social @robertfathauer.bsky.social · 21/08/2026How many distinct tiles are there in this Nice street paving, and how many tiles are there in the translational repeat unit? 153
robertfathauer.bsky.social @robertfathauer.bsky.social · 08/08/2026Some fiber art in the the art exhibition at the Bridges Conference in Galway, Ireland 1329
robertfathauer.bsky.social @robertfathauer.bsky.social · 06/08/2026Art Exhibition at the 2026 Bridges Conference in Galway, Ireland, during set-up (top) and opening reception (bottom). 130
robertfathauer.bsky.social @robertfathauer.bsky.social · 02/08/2026I 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... 2113
robertfathauer.bsky.social @robertfathauer.bsky.social · 29/07/2026Fractal self-replicating tile formed by iterating a tri-kite, reflecting between successive iterations 071
robertfathauer.bsky.social @robertfathauer.bsky.social · 23/07/2026I made some house-number tiles. 5242
robertfathauer.bsky.social @robertfathauer.bsky.social · 19/07/2026The Dice Lab's popular Skew dice gamer's set is now available in purple and Malachite. mathartfun.com/DiceLabDice.... 0133
robertfathauer.bsky.social @robertfathauer.bsky.social · 05/07/2026Over 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... 06533
robertfathauer.bsky.social @robertfathauer.bsky.social · 29/06/2026I 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. 0102
robertfathauer.bsky.social @robertfathauer.bsky.social · 25/06/2026The 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/... 04019
robertfathauer.bsky.social @robertfathauer.bsky.social · 21/06/2026My 2027 Bridges Conference paper, entitled “Iterating Polyiamonds, Polyhexes, and other Polyforms to Create Fractal Reptiles,” is available: mathartfun.com/fractaldiver... 2172
robertfathauer.bsky.social @robertfathauer.bsky.social · 01/06/2026These pavers are seen throughout the historic center of Puebla, Mexico. 020
robertfathauer.bsky.social @robertfathauer.bsky.social · 31/05/2026In the convent in Metztitlan, Hidalgo, Mexico 073
robertfathauer.bsky.social @robertfathauer.bsky.social · 24/05/2026New hand-built ceramic piece, with bamboo and leather; mathematically, a Hopf link with Seifert surface. www.mathartfun.com/robertfathau... 0326
robertfathauer.bsky.social @robertfathauer.bsky.social · 08/05/2026Emily 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... 111
robertfathauer.bsky.social @robertfathauer.bsky.social · 05/04/2026Fractal self-replicating tile formed by iterating a 3-kite 050
robertfathauer.bsky.social @robertfathauer.bsky.social · 29/03/2026A fractal self-replicating tile created by iterating a pentabolo 0133
robertfathauer.bsky.social @robertfathauer.bsky.social · 24/03/2026Pavers in Negombo, Sri Lanka, photogaraphed by a friend earlier today 190
robertfathauer.bsky.social @robertfathauer.bsky.social · 22/03/2026Another √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. 062
robertfathauer.bsky.social @robertfathauer.bsky.social · 15/03/2026Using 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. 081
robertfathauer.bsky.social @robertfathauer.bsky.social · 19/02/2026Charles O Perry sculpture in the lobby of the Hyatt Regency in San Francisco 0113
robertfathauer.bsky.social @robertfathauer.bsky.social · 23/01/2026Fractal self-replicating tile created by iterating a tetrakite seven times 2154
robertfathauer.bsky.social @robertfathauer.bsky.social · 12/01/2026Wth 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. 020
robertfathauer.bsky.social @robertfathauer.bsky.social · 11/12/2025The online gallery for 2026 Joint Mathematics Meetings Exhibition of Mathematical Art is now live: gallery.bridgesmathart.org/exhibitions/.... 02712
robertfathauer.bsky.social @robertfathauer.bsky.social · 29/11/2025Some pavers spotted in Cairo last month 062
robertfathauer.bsky.social @robertfathauer.bsky.social · 28/11/2025A Truchet cafe, in Cairo last month 0100
robertfathauer.bsky.social @robertfathauer.bsky.social · 20/11/20255-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. 141
robertfathauer.bsky.social @robertfathauer.bsky.social · 09/11/2025Ancient 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. 020
robertfathauer.bsky.social @robertfathauer.bsky.social · 09/11/2025Great "tessellation" on the ceiling of the 20th Dynasty (ca 1100 BC) Tomb of Anherkha in the Valley of the Workers in Luxor 031
robertfathauer.bsky.social @robertfathauer.bsky.social · 05/11/2025Another type of Cairo pentagon paver in Cairo. 031
robertfathauer.bsky.social @robertfathauer.bsky.social · 05/11/2025Everyone 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... 074
robertfathauer.bsky.social @robertfathauer.bsky.social · 24/10/2025Polyaboloes, 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. 040
robertfathauer.bsky.social @robertfathauer.bsky.social · 22/10/2025Two fractal self-replicating tiles formed by iterating a 4-rhomb. On the right with mirroring between successive iterations. 050
robertfathauer.bsky.social @robertfathauer.bsky.social · 11/10/2025This weekend would be a great time to submit your art for the exhibition to be held at the Joint Mathematics Meetings. Take advantage of this opportunity to share your work with over 5000 attendees this January in Washington, DC. You’ll need to submit by the 15th at gallery.bridgesmathart.org. 052
robertfathauer.bsky.social @robertfathauer.bsky.social · 08/10/2025Polyrhombs, formed by joining 60°-120° rhombi in edge-to-edge fashion, can also be iterated to form self-replicating tiles. A 3-rhomb iterates to the same fractal as the envelope of the terdragon curve. Mirroring between successive iterations yields a very different looking reptile (right). 081
robertfathauer.bsky.social @robertfathauer.bsky.social · 02/10/2025I just finished a new website on fractal self-replicating tiles ("reptiles") based on polyominoes, polyhexes, and polyiamonds: www.mathartfun.com/fractaldiver... 1225
robertfathauer.bsky.social @robertfathauer.bsky.social · 26/09/2025New sculpture illustrating the fact that cutting a three-half-twists band lengthwise results in a trefoil knot. Unglazed ceramic and leather cord. 0191
robertfathauer.bsky.social @robertfathauer.bsky.social · 25/09/2025Submissions are now being accepted for the Exhibition of Mathematical Art to be held as part of the Joint Mathematics Meetings, Washington, DC, in January of 2026. Apply online through October 15 at gallery.bridgesmathart.org. pic.x.com/MGSEyexSzo 0179
robertfathauer.bsky.social @robertfathauer.bsky.social · 24/09/2025youtu.be/fgMoxEAZtoA?... New from The Dice Lab; available at mathartfun.com/DiceLabDice....youtu.beAlpha Omega d24YouTube video by Henry Segerman 030
robertfathauer.bsky.social @robertfathauer.bsky.social · 11/09/2025A new article is out of which I'm a coauthor: "Visualization of Escher-like hyperbolic tessellations": www.sciencedirect.com/science/arti... 12610
robertfathauer.bsky.social @robertfathauer.bsky.social · 05/09/2025Submissions are now being accepted through September 14 for SCULPT 2025. Accepted work will be presented in a ZOOM Show and Tell event on November 7. In addition, works will be digitally showcased in the exhibition section of SCULPT 2025 and in a proceedings volume. 1188
robertfathauer.bsky.social @robertfathauer.bsky.social · 29/08/2025This mixed-media piece consists of an unglazed black-clay ceramic band with two half twists, making it a two-sided object. Steel dowels with long and short ends are spaced along the centerline to define a second band with two half twists, orthogonal to the first. 0233
robertfathauer.bsky.social @robertfathauer.bsky.social · 01/08/2025Amir Temur Mausoleum, Samarkand 071
robertfathauer.bsky.social @robertfathauer.bsky.social · 01/08/2025Aksaray Masoleum, Samarkand, Uzbekistan 061
robertfathauer.bsky.social @robertfathauer.bsky.social · 25/07/2025Tessellated pavers in Azerbaijan 071
robertfathauer.bsky.social @robertfathauer.bsky.social · 22/07/2025This needs iterating. In Sheki, Azerbaijan. 041
robertfathauer.bsky.social @robertfathauer.bsky.social · 14/07/2025"Needle Tower", by Kenneth Snelson, at the Kröller-Müller museum, the Netherlands 180
robertfathauer.bsky.social @robertfathauer.bsky.social · 06/07/2025New hand-built ceramic piece employing negative curvature 0132
