Rather than attempt to describe this, I'll just quote the artist verbatim:
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This is the first million integers, represented as binary vectors indicating their prime factors, and laid out using the UMAP dimensionality reduction algorithm by Leland Mcinnes. Each integer is represented in a high-dimensional space, and gets squished down to 2D so that numbers with similar prime factorisations are closer together than those with dissimilar factorisations.
A very pretty structure emerges; this might be spurious in that it captures more about the layout algorithm than any “true” structure of numbers. However, the visual effect is very appealling and requires no tricky manipulation to create.
"Are wormholes real or are they just magic disguised as physics and maths?" (Kurzgesagt – In a Nutshell)
The Fields medal, mathematic's most prized award for mathematics, was stolen from Cambridge Professor Caucher Birkar just moments after he received it.
Via the Independent:
Caucher Birkar, a Kurdish refugee from Iran, was one of four winners of the Fields Medal, often dubbed the "Nobel Prize of Mathematics", at the International Congress of Mathematics on Wednesday.
The professor put the 14-carat gold medal, worth around £3,000, in a briefcase on a table, but moments later realised it had disappeared, event organisers said.
The briefcase, which also contained his wallet and phone, was later found by security officials in a nearby pavilion, though the medal and wallet had been removed. Police reviewed security tapes and identified two potential suspects.
"The International Congress of Mathematicians is profoundly sorry about the disappearance of the briefcase belonging to mathematician Caucher Birkar, which contained his Fields Medal from the ceremony this morning," organisers said in a note.
Evil Mad Scientist Labs sell a bunch of cool open source hardware kits for making plotters -- basically, a very precise robot arm that draws with whatever pen or marker you screw into its grip. There's the Eggbot (for drawing on curved surfaces like eggs, balloons and balls), but there's also the Axidraw, which works on flat surfaces. Read the rest
Math 4 Love founder Dan Finkel writes:
You’ve been chosen as a champion to represent your wizarding house in a deadly duel against two rival magic schools. Your opponents are a powerful sorcerer who wields a wand that can turn people into fish, and a powerful enchantress who wields a wand that turns people into statues. Can you choose a wand and devise a strategy that ensures you will win the duel?
In a paper published by the International Association for Cryptologic Research, a group of Harvard and MIT cryptographers demonstrate that even if the government were to backdoor encryption and lock up anyone who used non-backdoored systems, people could still hide undetectable, secure, private messages within the messages sent over the compromised systems. Read the rest
Multiplying large numbers before calculators led to a number of ingenious inventions to make things easier, like these Genaille-Lucas rulers demonstrated by the fine folks at DONG.
Via manufacturer Creative Crafthouse:
In the days before calculators, methods of simplifying calculations were of much interest. In 1617 Napier also published a book describing a method to multiply, divide and extract square roots using a set of bars or rods. These became known as Napier's Bones. (avail on our website)
In the late 1800s, Henri Genaille, a French civil engineer, invented an improvement to Napier's Bones that eliminates the need to handle carries from one digit position to the next. The problem was posed by Edouard Lucas and thus the alternate name of Genaille-Lucas Rulers (or Rods).