
Recent Posts
Subscribe to Complex Projective 4Space
Archives
 October 2020
 September 2020
 August 2020
 July 2020
 June 2020
 May 2020
 June 2019
 May 2019
 March 2019
 November 2018
 September 2018
 July 2018
 June 2018
 May 2018
 April 2018
 March 2018
 February 2018
 November 2017
 October 2017
 November 2016
 May 2016
 March 2016
 February 2016
 December 2015
 September 2015
 March 2015
 February 2015
 January 2015
 December 2014
 November 2014
 October 2014
 September 2014
 August 2014
 July 2014
 June 2014
 May 2014
 April 2014
 March 2014
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 July 2013
 June 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 December 2012
 November 2012
 October 2012
 September 2012
 August 2012
Recent Comments
 tomtom2357 on Desert Island Theorems
 Ben Goertzel on Associative universal gates
 apgoucher on Associative universal gates
 Ben Goertzel on Associative universal gates
 The exceptional Jordan algebra  Complex Projective 4Space on Pappian and Desarguesian planes
Category Archives: MODA
Final chapter of MODA
I am pleased to announce that you can now download and view any of the (draft) chapters of Mathematical Olympiad Dark Arts. Any comments, corrections or suggestions you send me would be greatly appreciated. I’ll incorporate these into the book before publishing … Continue reading
Posted in MODA
Leave a comment
MODA: Diophantine equations
Here’s the penultimate chapter of Mathematical Olympiad Dark Arts. This includes several methods of solving Diophantine equations, including Vieta jumping and the Sam CapplemanLynes Technique. Also included is an explanation of how to locate rational points on algebraic curves, up to and including elliptic … Continue reading
Posted in MODA
Leave a comment
MODA: Inversion
On Tuesday (23rd October) at 7:00 pm, there is a monthly MathsJam gathering. It occurs simultaneously in various areas of the country, including the Castle Inn, Cambridge. I’ve heard rumours that there is a surprise party at the event for Tom Rychlik to … Continue reading
Posted in MODA
Leave a comment
MODA: Barycentric stuff
Yes, there’s another draft chapter of MODA online. Before we get to that, however, here is a picture sent in by arguably the greatest fan of cp4space: You may remember Vishal from the games of Hackenbush he played against his adversary, … Continue reading
Posted in MODA
Leave a comment
MODA: Geometry bashing
A tried and tested technique for attacking geometry problems is ‘bashing’ them with an algebraic approach. We’ve already seen how projective geometry can be based around a coordinate system (giving rise to areal and projective Cartesian coordinates as special cases). Twodimensional Cartesian coordinates … Continue reading
Posted in MODA
Leave a comment
MODA: Projective geometry
(This is a prerecorded message scheduled to automatically publish on the 1st October. If you’re reading this, I’m in Cambridge, probably either very busy with work, or very inebriated, or both. Here’s an emoticon which is also valid punctuation in this … Continue reading
Posted in MODA
Leave a comment
MODA: Inequalities
I imagine you’re all eagerly anticipating Cipher Tuesday, which is only a couple of days away now! Meanwhile, the sixth chapter of MODA, namely ‘Inequalities’, is available for download. Preface Combinatorics I (enumerative and geometrical combinatorics) Linear algebra Combinatorics II (graph theory) Polynomials Sequences Inequalities Projective geometry … Continue reading
Posted in MODA
Leave a comment
MODA: Sequences and Polynomials
It’s reached this time of week again, so I’ve uploaded the fourth and fifth chapters of Mathematical Olympiad Dark Arts. Enjoy! Preface Combinatorics I (enumerative and geometrical combinatorics) Linear algebra Combinatorics II (graph theory) Polynomials Sequences Inequalities Projective geometry Complex numbers Triangle … Continue reading
Posted in MODA
Leave a comment
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
Posted in MODA
Leave a comment
MODA ready for review
After several rounds of editing and peerreview, 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 176page document in its entirety, I shall … Continue reading
Posted in MODA
Leave a comment