Category Archives: Computing

Fearful symmetry: the beauty and power of tessellations

Irregular pentagon tessellation
Irregular pentagon tessellation. Image by R.A. Nonenmacher

We study mathematics for its beauty, its elegance and its capacity to codify the patterns woven into the fabric of the universe. Within its figures and formulas, the secular perceive order and the religious catch distant echoes of the language of creation. Mathematics achieves the sublime; sometimes, as with tessellations, it rises to art.

How tessellations work

Related Article:
Quiz: Tessellate this!

Under pressure: Pascal’s many places in the sun

The Pascaline, an early digital calculator invented by Blaise Pascal
The Pascaline, an early digital calculator invented by Blaise Pascal

Blaise Pascal was the quintessential Renaissance man. After all, how many people have a computer language, a religious argument, a triangle, a mathematical theorem, a law of physics and a unit of pressure named after them? Here was a man who could not only pose a philosophical wager, but also invent the system for calculating its odds and a digital calculator with which to tally the results.

It is unusual for a prodigy to stray so widely and successfully from their first area of excellence, but, as Pascal put it, “The heart has its reasons that reason knows nothing of.”

What were the famous Blaise Pascal inventions?

Spin control: reading the quantum bit

Quantum computing artwork
Image courtesy Arizona State University

Some days, I feel like I’m living in the future. Then I remember that I don’t have a flying car, a hyperintelligent monkey sidekick or a quantum computer. Granted, I’ve always suspected a flying car would be a terrible idea (and the less said about the monkey, the better), but I still want my iQuantum. So, what’s the hold up?

Quantum computing is one of those ideas that has enormous potential but is so cutting-edge that even its most basic aspects, like storing and reading data, require a large assortment of people with advanced degrees. Recently, two researchers worked out a way to read quantum states using entanglement, the “spooky action at a distance” that links two quantum particles under certain conditions. The method, which they hit upon while exploring electron-electron interactions, could solve the problem of reading quantum bits (aka “qubits”) once and for all.

ASU researchers untangle quantum quirk

Nanoionic memory: Vive la resistance

DDRAM computer memoryFor some time now, conventional computer memory has been heading toward a crunch—a physical limit of how much storage can be crammed into a space before it is overwhelmed by heat and power problems. Generally, researchers have tried to avert this heat death in two ways: leapfrogging to the next generation of memory or refining current memory.

Researchers at Arizona State University’s Center for Applied Nanoionics (CANi) have combined the two approaches to create new memory that amps up performance while remaining compatible with today’s devices. CANi also used nanoionics (a technique for moving tiny bits of matter around on a chip) to overcome the limitations of conventional electronics: Instead of moving electrons among ions, nanoionics moves the ions themselves.

Nanoionics may boost memory in consumer electronics