What’s so special about 277777788888899? Numberphile have just done a nice video which combines mathematics and computer programing. The challenge is to choose any number (say 347) Then we do 3x4x7 = 84 next we do 8×4 = 32 next we do 3×2 = 6. And when we get to a single digit number then […]

Normal Numbers – and random number generators Numberphile have a nice new video where Matt Parker discusses all different types of numbers – including “normal numbers”. Normal numbers are defined as irrational numbers for which the probability of choosing any given 1 digit number is the same, the probability of choosing any given 2 digit […]

Crack the Beale Papers and find a $65 Million buried treasure? The story of a priceless buried treasure of gold, silver and jewels (worth around $65 million in today’s money) began in January 1822. A stranger by the name of Thomas Beale walked into the Washington Hotel Virginia with a locked iron box, which he gave […]

Volume optimization of a cuboid This is an extension of the Nrich task which is currently live – where students have to find the maximum volume of a cuboid formed by cutting squares of size x from each corner of a 20 x 20 piece of paper. I’m going to use an n x 10 rectangle […]

Projective Geometry Geometry is a discipline which has long been subject to mathematical fashions of the ages. In classical Greece, Euclid’s elements (Euclid pictured above) with their logical axiomatic base established the subject as the pinnacle on the “great mountain of Truth” that all other disciplines could but hope to scale. However the status of […]

Narcissistic Numbers Narcissistic Numbers are defined as follows: An n digit number is narcissistic if the sum of its digits to the nth power equal the original number. For example with 2 digits, say I choose the number 36: 32 + 62 = 45. Therefore 36 is not a narcissistic number, as my answer is […]