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# The Lucid Manager

## The Business Anti-Guru

# Tag: Numberphile

### Euler Problem 33: Digit Cancelling Fractions and Ford Circles

Euler Problem 33 takes us back to the world of fractions from our primary school days. This article explains how to solve Euler Problem 33 with R and shows how to use a seqence of fractions to draw Fo...
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### Laser Beams and Elliptical Billiards: Euler Problem 144

This article provides a solution in the R language for Euler Problem 144: How many times does a laser bounce inside an elliptical mirror before the light beam exits it? We can use the solution to this...
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### Approximations of Pi: A Random Walk though the Beauty of Pi

Various methods to approximate and visualise the digits of pi using the R computing language for statistics. The apparent randomness of the decimal expression of Pi is a source for beautiful visualisa...
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### Topological Tomfoolery in R: Plotting a Möbius Strip

Topology is the silly putty of mathematics. One of the strangest shapes in topology is the Möbius strip. This strip is a surface with only one side. This article shows how the visualise this shape in...
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### Pandigital Products: Euler Problem 32

Euler Problem 32 returns to pandigital numbers, which are numbers that contain one of each digit. Like so many of the Euler Problems, these numbers serve no practical purpose whatsoever, other than so...
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### Digit fifth powers: Euler Problem 30

A solution in R for Euler Problem 30: Digit fifth powers. Find the sum of all the numbers that can be written as the sum of fifth powers of their digits. Numberphile has a nice video about a trick to ...
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### Euler Problem 29: Distinct Powers

Proposed solution to Euler Problem 29: Distinct Powers in the R language for statistical computing....
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### Euler Problem 28: The Ulam Spiral and Quadratic primes

Proposed solution to Euler Problem 28 in the R language for statistical computing. What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral?...
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### Generating Quadratic Primes: Euler Problem 27

Solution to Euler Problem 27 using the R language. Find the product of the coefficients for the quadratic expression that produces the most primes....
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### The Viral Recurring Decimal: Euler Problem 26

Proposed solution to Euler Problem 26 in the R language. Find the value of d < 1000 for which 1/d contains the longest recurring decimal cycle....
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### Euler Problem 23: Finding Non-Abundant Sums

A solution in the R language to Euler Problem 23. Find the sum of all the positive integers which cannot be written as the sum of two abundant numbers....
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### The Sierpinski Triangle: Visualising infinity in R

Using the R programming language to draw the Sierpinski triangle fractal using the chaos game. Drawing a fractal using random numbers....
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