
Recent Posts
Subscribe to Complex Projective 4Space
Join 2,928 other subscribersArchives
 January 2023
 October 2022
 September 2022
 July 2022
 June 2022
 May 2022
 January 2022
 December 2021
 September 2021
 July 2021
 June 2021
 May 2021
 February 2021
 January 2021
 December 2020
 November 2020
 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
 Interested Bystander on A combinatorial proof of Houston’s identity
 Tensor rank paper  Complex Projective 4Space on A combinatorial proof of Houston’s identity
 NoLongerBreathedIn on Matrix multiplication update
 Yuen Hung Chan on An attempt to understand the Monster group
 Bill on An attempt to understand the Monster group
Monthly Archives: April 2013
Cipher 27: Sunflower
I’m afraid that I’ve run out of inspiration for ciphers. I apologise if you’re disappointed, and hopefully this nice picture of a sunflower will cheer you up. In other news, the Balkan Mathematical Olympiad has changed its spacetime location. Rather … Continue reading
Posted in Ciphers
Leave a comment
Affine spaces over F3
The card game Set is played rather regularly at gatherings such as the MathsJam events held nationwide on a monthly basis. The original game involves trying to identify sets of three cards which form lines in the affine hyperspace . … Continue reading
Posted in Uncategorized
Leave a comment
Recent discoveries in Conway’s Life
This is breaking news, by the way; hence, the article is somewhat rushed. (If you haven’t heard of Conway’s Game of Life, there is a summary on Wikipedia.) As of a few minutes ago, Mike Playle discovered a π/2 stable reflector with a … Continue reading
Posted in Uncategorized
Leave a comment
Cipher 26: Spaced out
In many of the previous ciphers, the spaces between words have been omitted to increase difficulty. However, this results in a distinct loss of information. One such example is the following hashtag referring to my forthcoming birthday gathering (entitled Adam P’s Exposition). … Continue reading
Posted in Ciphers
Leave a comment
Ring of periods
Twelve years ago, Kontsevich and Zagier published an enlightening exploration of a set of real (or, more generally, complex) numbers known as periods. Firstly, let’s have a look at which sets are subsets of which other sets: The integers are a … Continue reading
Posted in Uncategorized
Leave a comment
The nbody problem
With basic calculus, it’s possible to solve the problem of two masses orbiting under gravitational attraction. In particular, the only solution is for them to follow conic sections, sharing a common focus (the barycentre of the two particles). For example, Pluto and … Continue reading
Posted in Uncategorized
Leave a comment
Cipher 25: My dear Watson
I encrypted this one manually, so please excuse me if there are any typographical errors in here. 220866632439789053161753150237+99155758+236839227408665332 532211921204447453909099391208080308099063+036825990722 7453902737+998460493122081253B292120444909984039216791166 2553419216+394205080316186334A52208A5920320527907B0+9903 99529099094913+995252A4080990995244493190991533+74084466 531627156828065392A1 Good luck!
Posted in Ciphers
Leave a comment
EGMO synopsis
I have returned from assisting at the Easter olympiad training camp at Trinity College, Cambridge. After we marked a selection test (the results of which I am not at liberty to divulge), a preliminary squad of nine people were selected, which … Continue reading
Posted in Uncategorized
Leave a comment
Efficient computational matchings and lax sexual morality
Hall’s marriage theorem is wellknown and frequently useful, but it’s a nightmare from a computational perspective. The standard proof can be turned into an algorithm which finds a matching, but it’s impracticably slow. The reason for this is that the … Continue reading
Posted in Uncategorized
Leave a comment
Onedimensional noughts and crosses
The ordinary game of Noughts and Crosses, also known as Tictactoe, features a board on which two players alternate placing symbols (O for the first player, and X for the second player) in unoccupied squares, attempting to form a line of three … Continue reading
Posted in Uncategorized
Leave a comment