In March, a group of mathematicians identified a thirteen-sided shape called “the hat” that can tile a surface without any patterns repeating. Now the researchers are updating the shape to ...

We also detail how spatial patterns of cell shape that arise in tissues can be explained in this context, and how cell shape controls tissue geometry. Tissue surface tension and cell sorting ...

Emilia L.K. Blåsten, Hongyu Liu, On Corners Scattering Stably and Stable Shape Determination by a Single Far-Field Pattern, Indiana University Mathematics Journal, Vol. 70, No. 3 (2021), pp. 907-947 ...

Students will: Understand the significance of geometric patterns in the Muslim world Replicate common patterns that adorn architecture, texts and textiles Practice using a compass and straight edge ...

A study of medieval Islamic art has shown some of its geometric patterns use principles established centuries later by modern mathematicians. Researchers in the US have found 15th Century examples ...