mscroggs.co.uk
mscroggs.co.uk

subscribe

Blog

 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
Christmas (2020) is over
Christmas card 2020
Christmas (2020) is coming!

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
   ×2              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 "o" then "d" then "d" in the box below (case sensitive):

Archive

Show me a random blog post
 2021 

Jan 2021

Christmas (2020) is over
 2020 
▼ show ▼
 2019 
▼ show ▼
 2018 
▼ show ▼
 2017 
▼ show ▼
 2016 
▼ show ▼
 2015 
▼ show ▼
 2014 
▼ show ▼
 2013 
▼ show ▼
 2012 
▼ show ▼

Tags

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

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2021