Richard Green

2 months ago | nature.com | DongAhn Yoo |Arang Rhie |Prajna hebbar |Francesca Antonacci |Glennis A. Logsdon |Brandon Pickett | +66 more

AbstractThe most dynamic and repetitive regions of great ape genomes have traditionally been excluded from comparative studies1,2,3. Consequently, our understanding of the evolution of our species is incomplete. Here we present haplotype-resolved reference genomes and comparative analyses of six ape species: chimpanzee, bonobo, gorilla, Bornean orangutan, Sumatran orangutan and siamang.

Feb 19, 2025 | quantamagazine.org | Leila Sloman |Richard Green |Solomon Adams

Introduction In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were relatively modest: She hoped to prove a theorem or two that would make incremental progress on the problem, as many other mathematicians had done before her. But over the years, she was drawn back to it, again and again.

Nov 9, 2023 | apieceofthepi.substack.com | Richard Green

The picture above shows an approximation to the Gosper curve, which was discovered by Bill Gosper in 1973. The Gosper curve is a space-filling curve, which means that it converges to a curve that completely fills in the interior of a shape. The shape in question (shown below) is called the Gosper island. Despite having a fractal boundary, the Gosper island has a property called “rep-7”, which means that it can be split up into 7 identical smaller copies of itself.