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.

The first Escheresque tessellation? It doesn’t quite qualify, but this design on the ceiling of the 20th Dynasty (ca 1100 BC) tomb of Anherkha in the Valley of the Workers in Luxor really caught my eye.

Some geometric patterns from tombs in Luxor, Egypt; 18th to 20th Dynasties, around 1500 to 1200 BCE.

Another type of Cairo pentagon paver in Cairo.

Helical Nileometer at Kom Omba Temple, used to monitor the height of the river. The doorway is the opening of a tunnel connecting the well to the temple.

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: https://t.co/DLcxnvBanJ

I was surprised to see Islamic motifs in early Coptic churches in Cairo. Apparently, Islamic and Coptic artistic traditions influenced each other for centuries due to a long history of peaceful coexistence and the shared use of local craftsmanship.

The Holy Grail of pavers: Cairo pentagons (in Cairo earlier today)

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 iterations employed at right

Two fractal self-replicating tiles formed by iterating a 4-rhomb. On the right with mirroring between successive iterations.

This weekend would be a great time to submit your art for the exhibition of 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 https://t.co/9NT3LBRh7r.

Polyrhombs, 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 iterations yields a very different looking reptile (right).

I just finished a new website on fractal self-replicating tiles ("reptiles") based on polyominoes, polyhexes, and polyiamonds: https://t.co/6MdQFup24H

New sculpture illustrating the fact that cutting a three-half-twists band lengthwise results in a trefoil knot. Unglazed ceramic and leather cord.

Submissions 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 https://t.co/9NT3LBRh7r.

Alpha Omega d24 https://t.co/fFHB9RcUYo via @YouTube New from The Dice Lab; available at

Baskets at Chorsu Bazaar, Tashkent, Uzbekistan

A new article is out of which I'm a coauthor: "Visualization of Escher-like hyperbolic tessellations": https://t.co/MsqnGSTC5d

For what it's worth, I fleshed out my page on Google Scholar.

To submit your work, please fill out the Google Form at  https://t.co/xFgMGLcSTI