# Monthly Archives: September 2012

## Second and third chapters

The second and third chapters of Mathematical Olympiad Dark Arts can now be downloaded for public review. Preface Combinatorics I (enumerative and geometrical combinatorics) Linear algebra Combinatorics II (graph theory) Polynomials Sequences Inequalities Projective geometry Complex numbers Triangle geometry Areal coordinates The … Continue reading

## Big Mandelbrots

The Mandelbrot set, as you’re probably aware, is the set of points c in the complex plane such that iterating f(z) = z² + c repeatedly doesn’t escape to infinity. By invoking the triangle inequality, it can be shown that a point … Continue reading

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## Dürer’s square

In Albrecht Dürer’s 1514 engraving Melancolia I, there is a famous 4×4 magic square. In addition to the rows, columns and main diagonals summing to 34, so do various other arrangements such as the quadrants and four corners. We can transform this into an … Continue reading

## Digest

There have been several recent items of news, either related to or inspired by the recent postings on Complex Projective 4-Space. Rather than mention them separately, I have collected them in this ‘digest’ format. Jigcypher solved I received an anonymous e-mail … Continue reading

After several rounds of editing and peer-review, I have decided that my book, Mathematical Olympiad Dark Arts, has reached a point where it is suitable for public review. Rather than upload the entire 176-page document in its entirety, I shall … Continue reading