M.C. Escher on Loneliness, Creativity, and How Rachel Carson [born #OTD] Inspired His Art, with a Side of Bach:
The above article mentions that Rachel Carson owned two signed prints by M.C. Escher; it's been noted elsewhere that one was Fish and Frogs (1949), but does anyone know what the second one was?
Tetrahedra and octahedra assembled to this object... .. I love how it can be regarded as art.... but also be used as a practical item to store stuff and build lamp shields and whatever...
... one can also turn it into a tiny hanging shelf to store lightweight stuff like origami models...
I made art of the newly discovered aperiodic monotiling!!
If you don’t follow math news, this turtle-like shape is the solution to a long-standing open problem in mathematics that goes as follows: Let’s say that you want to completely cover a plane with tiles (i.e. tessellate a plane) in such a way that the tiles never create a repeating pattern (i.e. the tiling is aperiodic). What is the fewest number of tile shapes you need to do that?
For a long time, mathematicians had only been able to find a two-shape tiling that never repeated a pattern. This was called a Penrose Tiling. But just last month (March 2023) a paper came out proving that the above shape can aperiodically tile the plane by itself!*
This is really cool and has lots of mathematicians and scientists super excited, not just because it’s an elegant solution to a decades-old problem, but also because we might be able to create new materials with unusual properties using this tiling as a base for molecular crystal structures (just like scientists were able to find for the Penrose tiling)!
If you want to learn more about the discovery, the NYTimes has a really good article here, and you can read the original paper (or just look at more pretty pictures of the tiling) here!
* As long as you’re allowed to occasionally flip the tile over. I colored the flipped tiles purple in my art to emphasize them.
Despite being known for the strong mathematical components to his work, M. C. Escher was said to not excell in his early years. He did not finish his high school education but his travels through Europe and his observations of art and architecture fueled his work. Escher's work began featuring complicated interlocked designs and his tesselations gained interest in both the fields of science and art.