Researchers at Poland’s Institute of Nuclear Physics found complex ‘fractal’ patterning of sentences in literature...
A bump on the head, a mysterious femme fatale and a strange encounter on a windswept peak all add up to a heck of a night for Manny Brot, Private Eye. Watch as he tries his hand at saving th
With Dr Holly Krieger from Murray Edwards College, University of Cambridge. Have a look at Brilliant (and get 20% off) here: https://brilliant.org/Numberphil...
It's known as Pascal's triangle in the Western world, but centuries before that, it was the Staircase of Mount Meru in India, the Khayyam Triangle in Iran, and Yang Hui's Triangle in China. It can loo
Exponents seem pretty straightforward, right? Raise a number to the power of 1 means you have one of that number, raise to the power of 2…
Pascal's triangle, a simple yet complex mathematical construct, hides some surprising properties related to number theory and probability.
This lesson is designed to get students to think about several of the concepts from fractals, including recursion and self similarity. The mathematical concepts of line segments, perimeter, are
On a mission to transform learning through computational thinking, Shodor is dedicated to the reform and improvement of mathematics and science education through student enrichment, faculty enhancemen
Make games, stories and interactive art with Scratch. (scratch.mit.edu)
Recursion is the process of repeating items in a self-similar way. Recursion can be implemented in Scratch by making a block that uses itself. This can be used to create fractals. A fractal is pattern
All you ever want to and need to know about Pascal's Triangle.
A virtual museum dedicated to collecting and preserving individual expressions in art of the myriad aspects of the Golden Ratio, a mysterious and magical principle which appears in nature, architectu
Discover the ways Leonardo used the Golden Ratio in some of his most famous works of art.
Explore collections and stories from around the world with Google Arts & Culture.
This activity is designed to further the work of the Geometric Fractals lesson by showing students how the Sierpinski triangle can arise from seemingly totally unrelated sources. This gives th
The Golden Ratio has confounded man for millennia with its supposed mystical powers and seeming ubiquitousness. Yet, the ratio, represented by the Greek letter phi (pronounced either "fy" or "fee")...
Making its first appearance a little over a century ago, the lure of the limerick is such that it has grown to become one of the world's most popular verse forms. There is something strangely appealin
Mathematician: The ‘golden ratio’ formula for beauty is bulls—t'
Some early viewers seem to have missed the fact that the design of this video is a parody of some of the truly awful websites that cover the Golden Ratio. The unusual aspect ratio was to stay as far a
Let’s look at some of the common points of confusion and debate, covering beauty, the Parthenon, the UN Secretariat Building, the Great Pyramid, Nautilus shell, use by famous artists (Da Vinci, Botticelli, Seurat, etc.) and other topics. I’ll provide objective answers, with additional evidence in the supporting articles for each topic.
To go with ARTSEDGE lesson (Amazing Fibonacci How the Hidden Life of Numbers Make Memorable Music): Print and download Prélude in C Major - Frédéric François Chopin (1810 - 1849). Made by ClassicMan.
The golden section and Fibonacci numbers in art, architecture, poetry and music; for schools and teachers or just for recreation!
Almost two years ago, Spanish filmmaker Cristóbal Vila shot an exquisite little film, Nature by Numbers, which captured the ways in which mathematical concepts (Fibonacci Sequence, Golden Number, etc
Fibonacci was an Italian mathematician in the late 11th and early 12th Century, credited with bringing the Arabic numeral system to Europe and introducing the use of the number zero and the decimal pl
This instructable demonstrates and explains blooms, a unique type of sculpture I invented that animates when spun while lit by a strobe light (or captured by a video...
According to NCTM's Principles and Standard for School Mathematics(2000), rich problems contexts involve connections to other disciplines, (e.g. science, social studies, art) as well as to the real wo
By definition, nature does not produce art. But we like to say it does. A seascape so lovely you wish you could “hang it on your wall;” the semblant choreography of a herd of antelope that looks like
Out of all of the infinite numbers in the world, there are precious few that are given their own letter from the all-too-finite Greek…
After learning about rotation, the next step was to explore spirals. Just like circles, spirals go around and around. The difference is th...
Fibonacci numbers and the golden section in nature; seeds, flowers, petals, pine cones, fruit and vegetables. Is there a pattern to the arrangement of leaves on a stem or seeds on a flwoerhead?
Making its first appearance a little over a century ago, the lure of the limerick is such that it has grown to become one of the world's most popular verse forms. There is something strangely appealin
How the Hidden Life of Numbers Make Memorable Music
Weekly mathematics challenges for secondary school students.
Mathigon's innovative new curriculum covers everything from fractions and trigonometry to graph theory, cryptography, prime numbers and fractals.
Listenwise - Current Event: Fibonacci’s ‘Numbers’: The Man Behind The Math
In 1202 Leonardo da Pisa (aka Fibonacci) taught Western Europe how to do arithmetic with Arabic numerals. In Man of Numbers: Fibonacci's Arithmetic Revolution, Keith Devlin describes how basic arithme
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces s
Fibonacci numbers are an interesting mathematical idea. Although not normally taught in the school curriculum, particularly in lower grades, the prevalence of their appearance in natue and the ease of
Biography of Fibonacci (1170-1250)
Fibonacci is one of the most famous names in mathematics. This would come as a surprise to Leonardo Pisano, the mathematician we now know by that name. And he might have been equally surprised that
Wilson Bentley (a.k.a. Snowflake Bentley) was the first to take macro-photographs of snowflakes (in 1885), and what he found was that these pieces of moisture falling through the electrically-charged