
+13 +1
How to Get Better at 'Back of the Envelope' Calculations
The art of estimations is pretty much a physicist's bread and butter. We all love a good estimation problem. You might also hear these called a "back of the envelope" calculation, or a calculation on a napkin. The writing medium is meant to emphasize how little preparation goes into attacking the problem. The estimator can't even take the time to find a clean sheet of paper.

+2 +1
Prime Numbers And CrystalLike Materials Share A Hidden Organization
As it turns out, prime numbers and crystals have a lot in common. A new analysis from researchers at Princeton University suggests that the patterned distribution of prime numbers in the number line is remarkably similar to patterns found in the atomic structure of certain crystallike materials. In simple terms, the sequence of primes over long stretches of the number line shows properties remarkably similar to the sequence that arises from shining Xrays on an object to reveal its internal atomic structure.

+16 +1
The Math That Predicted the Revolutions Sweeping the Globe Right Now
It's happening in Ukraine, Venezuela, Thailand, Bosnia, Syria, and beyond. Revolutions, unrest, and riots are sweeping the globe. The nearsimultaneous eruption of violent protest can seem random and chaotic; inevitable symptoms of an unstable world. But there's at least one common thread between the disparate nations, cultures, and people in conflict, one element that has demonstrably proven to make these uprisings more likely: high global food prices.

+22 +1
The Amazing, Autotuning Sandpile
A simple mathematical model of a sandpile shows remarkably complex behavior.

+16 +1
Mathematicians Chase Moonshine’s Shadow
Researchers are on the trail of a mysterious connection between number theory, algebra and string theory

+10 +1
A Grand Theory of Wrinkles
A collaboration between mechanical engineers and mathematicians has revealed universal rules for how wrinkles form.

+1 +1
The Planimeter: An analogue device used to measure the area enclosed by a curve
A planimeter is a tabletop instrument for measuring areas, usually the areas of irregular regions on a map or photograph. They were once common, but have now largely been replaced by digital tools.

+8 +1
The idea behind the divergence theorem
Introduction to divergence theorem (also called Gauss's theorem), based on the intuition of expanding gas.

+1 +1
Nontransitive Dice
A set of dice where the "this die rolls a higher number than this other one more than half the time" relation is not transitive.

+2 +1
Benford's Law
Benford's law is a phenomenological law also called the first digit law, first digit phenomenon, or leading digit phenomenon. Benford's law states that in listings, tables of statistics, etc., the digit 1 tends to occur with probability ∼30%, much greater than the expected 11.1% (i.e. one digit out of 9).

+16 +1
The Singular Mind of Terry Tao
A prodigy grows up to become one of the greatest mathematicians in the world. By Gareth Cook.

+23 +1
How to Get to the Fourth Dimension
A new book offers mathematical puzzles, such as fitting a coin through a hole that seems too small to accommodate it. Colm Mulcahy reviews "Things to Make and Do in the Fourth Dimension: A Mathematician's Journey through Narcissistic Numbers, Optimal Dating Algorithms, at Least Two Kinds of Infinity, and More," by Matt Parker. Farrar, Straus and Giroux.

+17 +1
A Beautiful Question by Frank Wilczek, review: 'worth the effort'
Lewis Dartnell grapples with a Nobel Prizewinner's attempt to prove that the universe is beautiful.

+25 +1
The Cheshire Cat’s Grin
Solving the greatest mystery of Wonderland, 150 years later. By David Day.

+20 +1
What Is Elegance in Science?
Astrophysicists, art critics, biologists, and tennis fans seek to define the indefinable. By Patrick House.

+22 +1
Theorists Draw Closer to Perfect Coloring
A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a longsought general coloring proof. By Natalie Wolchover.

+21 +1
Be Still My Pulsating Sequence
Can you infer the simple rule behind a number sequence that spikes up and down like the beating of a heart? By Pradeep Mutalik.

+2 +1
A classic formula for pi has been discovered hidden in hydrogen atoms
This is truly amazing. By Fiona MacDonald.

+20 +1
Encounter with the Infinite
How did the minimally trained, isolated Srinivasa Ramanujan, with little more than an outofdate elementary textbook, anticipate some of the deepest theoretical problems of mathematics—including concepts discovered only after his death? By Robert Schneider with Benjamin Phelan.

+19 +1
History: Einstein was no lone genius
Lesserknown and junior colleagues helped the great physicist to piece together his general theory of relativity, explain Michel Janssen and Jürgen Renn.

+22 +1
How a Mathematical Superstition Stultified Algebra for Over a Thousand Years
Like most people, my highschool training in mathematics involved nexttono history, barely touching on the names of a few mathematicians, like Pythagoras, and their theorems. I graduated only vaguely aware that geometry came from ancient Greece and algebra came from the Babylonians... By Robert Coolman.

+53 +1
A fifth of adults have forgotten how to do fractions or percentages
One in five adults (or 20%) has forgotten how to work out either fractions or percentages, and even fewer remember how to calculate the mean, the median or the mode, according to a study. It reveals a perturbing lack of recall among many adults who have forgotten not just the rules of mathematics, but many of the key principles of English and science they were taught at school. In maths, 35% of the 2,000 adults who took part in the...

+36 +1
Is algebra an unnecessary stumbling block in US schools?
Who needs algebra? That question muttered by many a frustrated student over the years has become a vigorous debate among American educators, sparked by a provocative new book that argues required algebra has become an unnecessary stumbling block that forces millions to drop out of high school or college. "One out of 5 young Americans does not graduate from high school. This is one of the worst records in the developed world. Why? The chief academic...

+4 +1
Sphere Packing Solved in Higher Dimensions
A Ukrainian mathematician has solved the centuriesold spherepacking problem in dimensions eight and 24. By Erica Klarreich.

+24 +1
Inspired by Genius: How a Mathematician Found His Way
The mathematician Ken Ono believes that the story of Srinivasa Ramanujan—mathematical savant and twotime college dropout—holds valuable lessons for how we find and reward hidden genius.

+2 +1
Essence of linear algebra
3Blue1Brown

+13 +1
Majority of mathematicians hail from just 24 scientific ‘families’
Most of the world’s mathematicians fall into just 24 scientific 'families', one of which dates back to the fifteenth century. The insight comes from an analysis of the Mathematics Genealogy Project (MGP), which aims to connect all mathematicians, living and dead, into family trees on the basis of teacher–pupil lineages, in particular who an individual's doctoral adviser was.

+37 +1
When Blind People Do Algebra, The Brain's Visual Areas Light Up
People born without sight appear to solve math problems using visual areas of the brain. A functional MRI study of 17 people blind since birth found that areas of visual cortex became active when the participants were asked to solve algebra problems, a team from Johns Hopkins reports in the Proceedings of the National Academy of Sciences. "And as the equations get harder and harder, activity in these areas goes up in a blind person," says Marina Bedny, an author of the study and an assistant professor in the department of psychological and brain sciences at Johns Hopkins University.

+17 +1
Why Blind People Are Better at Math
Bernard Morin developed glaucoma at an early age and was blind by the time he was six years old. Despite his inability to see, Morin went on to become a master topologist... By Diana Kwon.

+33 +1
5 Simple Math Problems No One Can Solve
Mathematics can get pretty complicated. Fortunately, not all math problems need to be inscrutable. Here are five current problems in the field of mathematics that anyone can understand, but nobody has been able to solve.

+24 +1
Think you're a codebreaker? Try these GCHQ puzzles
Sharpen up your codebreaker skills with these games from a new GCHQ puzzles book, seen first by the Telegraph. Think you've cracked them? More fiendish puzzles await... General hint: Many of the puzzles may look more intractable than they really are. In a lot of cases the trick is to approach the puzzle with the right mindset – in other words to think like a GCHQ puzzle setter.

+26 +1
You Will Easily Understand This Math Problem That No One Can Solve
A kid can understand the question, but no one can answer it. By Jay Bennett.

+29 +1
We couldn’t live without ‘zero’ – but we once had to
Mathematician Hannah Fry tells the intriguing story of how the number zero was ‘discovered’ – and why we couldn’t predict the future without it.

+29 +1
Meet the first woman to win the "Nobel Prize of Mathematics"
On Wednesday, Maryam Mirzakhani became the first woman in 78 years to be awarded the prestigious Fields Medal, considered the highest honor in mathematics. She was selected for "stunning advances in the theory of Riemann surfaces and their moduli spaces." The Fields Medal is awarded every four years by the International Mathematical Union to outstanding mathematicians under 40 who show promise of future achievement.

+17 +1
Creating The NeverEnding Bloom
John Edmark's sculptures are both mesmerizing and mathematical. Using meticulously crafted platforms, patterns, and layers, Edmark's art explores the seemingly magical properties that are present in spiral geometries. In his most recent body of work, Edmark creates a series of animating “blooms” that endlessly unfold and animate as they spin beneath a strobe light.