Consulting
I am the founder of Hatsya Limited, which provides mathematical and technological solutions to realworld problems.

Recent Posts
Archives
 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
Categories
Meta
Corresponding Facebook page:
Follow me on Twitter
My Tweets
Monthly Archives: January 2013
Cipher 14: Remorse
The previous cipher seems to remain unsolved, even though it is indeed solvable. It was originally created by a hermit living in the Adirondack mountains, and was first deciphered by Dave Greene. He subsequently wrote a message in the cipher and passed it … Continue reading
Posted in Ciphers
Leave a comment
Visualising complex functions
Tim Large suggested to me a new idea of how to render meromorphic functions on the complex plane. Basically, we draw the surface of the Earth on the Riemann sphere (the codomain of the function), and colour each point on the complex plane … Continue reading
Posted in Uncategorized
11 Comments
Ordinal music
The most popular music video of last year is, arguably, Gangnam Style by the famous Korean artist, Ψ. One of the noteworthy features is the presence of ‘accumulation points’ in the music; these occur at 1:07 and 2:29 in the … Continue reading
Posted in Uncategorized
15 Comments
Origami
Firstly, I’ll take this opportunity to wish James Cranch a marvellous 30th birthday. This post was inspired by the conception of a new ‘origami society’ at Trinity. Having never tried it before, it took me a while to decipher the instructions … Continue reading
Posted in Uncategorized
3 Comments
Cipher 13: Intercardinal
As rasterised images invariably lose quality, this particular cipher is in the form of a PDF document. Click on the link to Cipher XIII to open it.
Posted in Ciphers
Leave a comment
CayleyBacharach applications
The CayleyBacharach theorem in projective geometry states that if two cubics share nine points (in sufficiently general position) and a third cubic passes through eight of those points, then it also passes through the ninth. Here, ‘sufficiently general position’ means … Continue reading
Posted in Uncategorized
5 Comments
Nontrivial mutual friends
Suppose we have a set of n people, and we want to encapsulate a particular relation which holds between them. For instance, the people who have featured on the cipher solvers page can be represented by a directed acyclic graph. … Continue reading
Posted in Uncategorized
24 Comments
Assorted stuff
This post contains miscellaneous topics which don’t deserve individual articles, but are still worth mentioning nonetheless. Stereographic map projections When you look at a map of the world, the most common projection is the Mercator projection. This is a conformal … Continue reading
Posted in Uncategorized
10 Comments
Projective Cranch geometry
The Encyclopedia of Triangle Centres contains a collection of over 5000 different points in the plane of a triangle, represented by the letter X followed by an identifier. The wellknown triangle centres include the circumcentre (X3), centroid (X2), orthocentre (X4) and incentre … Continue reading
Posted in Uncategorized
1 Comment
Cipher 12: Knot homophonic
This week’s cipher is a (noninvertible!) matrix of knots, which you can view by clicking on the image below: When mathematicians originally classified knots, they made the mistake of believing that two knots (10_161 and 10_162 in the original table) were different … Continue reading
Posted in Ciphers
Leave a comment