For instance, a 3D-printed model of a child’s heart enables surgeons to simulate complex surgeries. This approach can lead to shorter operating times, fewer complications, and lower costs.

Creating the tiles was simple—the first step was to find a Penrose pattern image online, which could then be used as the basis to design the 3D part in Fusion 360.

Patchen Barss Atlantic, $55 In September 1964, mathematician Roger Penrose crossed a road near his office in Birkbeck College, London, deep in conversation with cosmologist Ivor Robinson.

While cutting my TV-testing teeth, I spent a ton of time with 3D sets from brands like Samsung and LG. To say that 3D TVs were fussy is a bit of an understatement. Obviously, there were the glasses.

A couple of years ago, using a 3D printer, with a lot of help from my friends, I made a cookie cutter in the shape of a kite and dart together in a way that tiles periodically. After baking, the ...

After the case was settled out of court, “Penrose tiles never again surprised anyone entering the loo,” writes Patchen Barss in “The Impossible Man,” his new biography of Sir Roger.

A famous example is Penrose tiling, a class of shapes that do not repeat, but can have rotational and reflection symmetry. Just last year, researchers developed a shape called an ‘einstein’ or an ...

Examples of 2D soft cells in nature include an onion’s cross-section, biological tissue cells, and islands formed by erosion in rivers. In 3D, the shapes can be found in nautilus shell segments.

Tilings that fill space without a regularly repeating arrangement, such as Penrose tilings, have attracted interest since the discovery of non-periodic structures called quasicrystals in the 1980s.

The demonstrated QCMs can reconstruct holographic images and display diffraction patterns simultaneously. Silicon nanofins are arranged in the Penrose tiling pattern as illustrated by the 2D color ...