mscroggs.co.uk
mscroggs.co.uk

subscribe

Blog

Happy τ+e-8 Approximation Day!

 2020-07-29 
A week ago, it was 22 July: Pi Approximation Day. 22/7 (22 July in DD/M format) is very close to pi, closer in fact than 14 March's approximation of 3.14 (M.DD).
During this year's Pi Approximation Day, I was wondering if there are other days that give good approximations of interesting numbers. In particular, I wondered if there is a good 2π (or τ) approximation day.
π is close to 22/7, so 2π is close to 44/7—but sadly there is no 44th July. The best approximation day for 2π is 25th April, but 25/4 (6.25) isn't really close to 2π (6.283185...) at all. The day after Pi Approximation Day, however, is a good approximation of 2π-3 (as π-3 is approximately 1/7). After noticing this, I realised that the next day would be a good approximation of 3π-6, giving a nice run of days in July that closely approximate expressions involving pi.
After I tweeted about these three, Peter Rowlett suggested that I could get a Twitter bot to do the work for me. So I made one: @HappyApproxDay.
@HappyApproxDay is currently looking for days that approximate expressions involving π, τ, e, √2 and √3, and approximate the chosen expression better than any other day of the year. There are an awful lot of ways to combine these numbers, so @HappyApproxDay looks like it might be tweeting quite a lot...

Similar posts

Logic bot
A surprising fact about quadrilaterals
Interesting tautologies
Log-scaled axes

Comments

Comments in green were written by me. Comments in blue were not written by me.
June the 28th (6.28) isn't too bad for 2 Pi.
steve
   ×1              Reply
 Add a Comment 


I will only use your email address to reply to your comment (if a reply is needed).

Allowed HTML tags: <br> <a> <small> <b> <i> <s> <sup> <sub> <u> <spoiler> <ul> <ol> <li>
To prove you are not a spam bot, please type "y-axis" in the box below (case sensitive):

Archive

Show me a random blog post
 2020 

Jul 2020

Happy τ+e-8 Approximation Day!

May 2020

A surprising fact about quadrilaterals
Interesting tautologies

Mar 2020

Log-scaled axes

Feb 2020

PhD thesis, chapter ∞
PhD thesis, chapter 5
PhD thesis, chapter 4
PhD thesis, chapter 3
Inverting a matrix
PhD thesis, chapter 2

Jan 2020

PhD thesis, chapter 1
Gaussian elimination
Matrix multiplication
Christmas (2019) is over
 2019 
▼ show ▼
 2018 
▼ show ▼
 2017 
▼ show ▼
 2016 
▼ show ▼
 2015 
▼ show ▼
 2014 
▼ show ▼
 2013 
▼ show ▼
 2012 
▼ show ▼

Tags

geometry noughts and crosses national lottery signorini conditions php probability plastic ratio braiding inverse matrices news final fantasy squares manchester graph theory christmas card folding paper world cup fractals wool golden ratio curvature matrix multiplication cross stitch people maths machine learning frobel chebyshev wave scattering dataset ucl boundary element methods javascript preconditioning logic ternary royal institution gerry anderson christmas rugby menace asteroids dragon curves numerical analysis finite element method cambridge mathslogicbot error bars hannah fry hats sorting logs programming simultaneous equations game of life martin gardner phd statistics estimation sound matrix of cofactors games gaussian elimination manchester science festival bodmas interpolation triangles geogebra london countdown pac-man polynomials the aperiodical trigonometry draughts tmip light hexapawn puzzles mathsteroids sobolev spaces weak imposition advent calendar sport golden spiral realhats pizza cutting london underground platonic solids football go twitter latex talking maths in public stickers exponential growth oeis pythagoras arithmetic pi approximation day reddit inline code binary electromagnetic field data visualisation coins a gamut of games flexagons approximation radio 4 big internet math-off rhombicuboctahedron harriss spiral convergence chalkdust magazine map projections chess matrix of minors determinants accuracy quadrilaterals folding tube maps game show probability matrices python speed dates european cup royal baby captain scarlet craft tennis mathsjam bubble bobble palindromes misleading statistics propositional calculus bempp matt parker graphs computational complexity raspberry pi data pi weather station books video games reuleaux polygons nine men's morris

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2020