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

Recent Posts
Archives
 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: November 2012
Geomagic squares
In 2001, Lee Sallows generalised the concept of a magic square, replacing the integers in each cell with subsets of the plane. He calls such a configuration a ‘geomagic square’ if the subsets in every row, column and diagonal can … Continue reading
Posted in Uncategorized
3 Comments
Cipher 5: 99 problems or 23?
Due to popular demand, the frequency of Cipher Tuesdays has increased from every four weeks to its theoretical limit of every week. Also by popular demand, this cipher is given as both an image (for manual solvers) and delineated text … Continue reading
Posted in Ciphers
4 Comments
Miscellany
Tsukamoto and Miyazaki of Kyoto University have discovered that three states are sufficient to enable gliders to exist on a Penrose tiling, rather than four. The following video demonstrates their discovery together with a periodic emitter in an augmented rule: On a … Continue reading
Posted in Uncategorized
6 Comments
Outer automorphism of S6
Let’s consider the group S6 of permutations of {1,2,3,4,5,6}. For fairly boring reasons, we can find S5 living inside there — the subgroup which fixes the element ‘6’. More generally, S(n1) is contained within Sn. S6 is special, though, since … Continue reading
Posted in Uncategorized
3 Comments
Hyperboloid of one sheet
Suppose we took a solid unit cube and balanced it on a vertex. Next, we spin the cube really quickly about the vertical axis, producing a solid of revolution: Clearly, the top and bottom are two identical cones produced by revolving a line segment passing … Continue reading
Posted in Uncategorized
6 Comments
Betts revisited
As a brief summary, I posted about the threedimensional generalisation of a particular twodimensional problem by Alexander Betts. In case you haven’t read it, or didn’t understand it, I’ll explain the ideas again here. A finite set S of n points in ddimensional … Continue reading
Posted in Uncategorized
6 Comments
Cipher 4: Think rationally
To make a welcome change from the monoalphabetic substitution ciphers embedded in images, I have decided to publish this particular cipher in a textonly format for ease of access. WII MJCVKWV FZN ZQLHWMH HA ZLH GMFKTJQ DKOQXT XM UNN LAADANPNFT EOWZXJRX … Continue reading
Posted in Ciphers
Leave a comment
Spin groups
If you take an object and rotate it by 360° about a particular axis, it will return to its original orientation. Certainly, every object you’re likely to have seen obeys this basic principal. If you’re naive, you may actually believe … Continue reading
Posted in Uncategorized
3 Comments
Field with one element
So, what’s up with that, right…? In case you haven’t heard of the field with one element, it’s a totally stupid nonexistent thing that doesn’t exist. Nevertheless, its blatant nonexistence did not deter several people from extensively investigating it, with … Continue reading
Posted in Uncategorized
2 Comments
Mouseastrophe
Suppose we have a particularly ravenous cat (Felis sylvestris) chasing some particularly tasty mice (Mus musculus, if I remember correctly) across the vast expanse of the real Eculidean plane R². The most interesting case is when mice and cats move at … Continue reading
Posted in Uncategorized
6 Comments