
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
 The exceptional Jordan algebra  Complex Projective 4Space on Pappian and Desarguesian planes
 Una Construcción Nueva: Definición – Mengenlehre on Von Neumann universe
 jasonhise64 on The BarnesWall lattices
 The BarnesWall lattices  Complex Projective 4Space on Minimalistic quantum computation
 The BarnesWall lattices  Complex Projective 4Space on Subsumptions of regular polytopes
Monthly Archives: September 2013
Cipher 47: Plughole
At the moment, assuming everything has gone according to plan, I should currently be on a northwardbound train, returning from Kevin Buzzard’s talk at the Royal Society. As with some of the earlier ciphers, this is bipartite, consisting of both an image … Continue reading
Posted in Ciphers
Leave a comment
Lattice gases and conformal maps
Any fluid dynamicist would be able to tell you that fluids obey partial differential equations such as the NavierStokes equations. This macroscopic behaviour should, and indeed can, be derived from applying Newton’s laws of motion to the individual molecules in the … Continue reading
Posted in Uncategorized
Leave a comment
The Whetstone of Witte
The first instance of the concept of a symbolic mathematical equation is usually attributed to Robert Recorde, a Welsh mathematician, in a 1557 book with the rather verbose title ‘The Whetstone of Witte, whiche is the seconde parte of Arithmeteke: containing the … Continue reading
Posted in Uncategorized
Leave a comment
MOG
Since the conception of the European Girls’ Mathematical Olympiad (henceforth abbreviated to EGMO), the British Mathematical Olympiad Committee has run an annual national olympiad specifically for aspiring female mathematicians. The third edition of the Mathematical Olympiad for Girls (MOG) takes place … Continue reading
Posted in Uncategorized
Leave a comment
Cipher 46: Hellenic Angler Leviathan
+39256408486145507991522778312122523892525408578736546 Sorry about the cryptic title and lack of hints.
Posted in Ciphers
Leave a comment
Rational approximations to Platonic solids
It is straightforward to position a cube such that its vertices are all integer coordinates. For instance, we could choose its eight vertices to be (±1, ±1, ±1). Similarly, the vertices of a regular octahedron can be positioned at cyclic permutations … Continue reading
Posted in Uncategorized
Leave a comment
Desert Island Theorems
Suppose you were cast away on a desert island. You’re only allowed to take a maximum of eight known theorems with you, along with rudimentary results such as ZFC axioms together with ‘boring stuff’ such as mathematical induction over the naturals, commutativity … Continue reading
Posted in Uncategorized
Leave a comment
W. T. Tutte
In the nottoodistant future, people are going to be celebrating the 100th birthday of Bill Tutte. He’s not quite as wellknown as Alan Turing, which is a shame since they were both equally invaluable in the cryptanalysis at Bletchley Park. You … Continue reading
Posted in Uncategorized
Leave a comment
Cipher 45: Sisyphean
Occasionally, some of my ciphers have the frustrating property that whilst easy to realise what to do, they can still be incredibly longwinded to solve. I can imagine that this is one such cipher: I apologise for the profusion of Petersen … Continue reading
Posted in Ciphers
Leave a comment
Perrin sequence
The Perrin sequence is defined by a recurrence relation, and is qualitatively similar to the Lucas sequence. The initial terms are and subsequent terms are defined by , and summarised in the following spiral of equilateral triangles: As you can … Continue reading
Posted in Uncategorized
Leave a comment