mscroggs.co.uk
mscroggs.co.uk

subscribe

Blog

New machine unfriendly £1 coin

 2014-03-19 
Vending machines identify coins by measuring their width. Circular coins have the same width in every direction, so designers of vending machines do not need to worry about incorrectly rotated coins causing a blockage or being misidentified. But what about seven-sided 20p and 50p coins?
Perhaps surprisingly, 20p and 50p coins also have a constant width, as show by this video. In fact, the sides of any regular shape with an odd number of sides can be curved to give the shape a constant width.
3, 5, 7 and 9 sided shapes of constant width.
Today, a new 12-sided £1 coin was unveiled. One reason for the number of sides was to make the coin easily identified by touch. However, as only polygons with an odd number of sides can be made into shapes of constant width, this new coin will have a different width when measured corner to corner or side to side. This could lead to vending machines not recognising coins unless a new mechanism is added to correctly align the coin before measuring.
Perhaps an 11-sided or 13-sided design would be a better idea, as this would be easily distinguishable from other coins by touch which being a constant width to allow machines to identify it.
                        
(Click on one of these icons to react to this blog post)

You might also enjoy...

Comments

Comments in green were written by me. Comments in blue were not written by me.
 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> <logo>
To prove you are not a spam bot, please type "sixa-x" backwards in the box below (case sensitive):

Archive

Show me a random blog post
 2026 

May 2026

World Cup stickers 2026

Apr 2026

A new puzzle every day
Mixing Wordle with other games

Feb 2026

Christmas (2025) is over
 2025 

Dec 2025

Christmas card 2025

Nov 2025

Christmas (2025) is coming!

Sep 2025

The partridge puzzle

Aug 2025

TMiP 2025 puzzle hunt

Jun 2025

A nonogram alphabet

Mar 2025

How to write a crossnumber

Jan 2025

Christmas (2024) is over
Friendly squares
 2024 

Dec 2024

A regular expression Christmas puzzle
Christmas card 2024

Nov 2024

Christmas (2024) is coming!

Feb 2024

Zines, pt. 2

Jan 2024

Christmas (2023) is over
 2023 
▼ show ▼
 2022 
▼ show ▼
 2021 
▼ show ▼
 2020 
▼ show ▼
 2019 
▼ show ▼
 2018 
▼ show ▼
 2017 
▼ show ▼
 2016 
▼ show ▼
 2015 
▼ show ▼
 2014 
▼ show ▼
 2013 
▼ show ▼
 2012 
▼ show ▼

Tags

ucl gaussian elimination latex fonts crosswords data chalkdust magazine standard deviation electromagnetic field gather town pokémon quadrilaterals graphs binary 24 hour maths tennis computational complexity news partridge puzzle bluesky game show probability php map projections talking maths in public golden spiral arithmetic determinants mathslogicbot datasaurus dozen exponential growth statistics royal baby oeis platonic solids flexagons rust craft pythagoras chess youtube menace accuracy national lottery numbers european cup thirteen numerical analysis mathsjam gerry anderson bempp curvature pascal's triangle guest posts dates go martin gardner sport matrix of cofactors fence posts pizza cutting nonograms christmas card hyperbolic surfaces simultaneous equations inverse matrices realhats runge's phenomenon geometry trigonometry errors sorting pac-man light pokémon wordle phd palindromes harriss spiral dinosaurs boundary element methods london turtles logic pi approximation day advent calendar estimation matt parker manchester science festival bodmas reddit anscombe's quartet cross stitch people maths zines weak imposition probability javascript approximation squares captain scarlet noughts and crosses coins propositional calculus hannah fry interpolation hats regular expressions cambridge geogebra hexapawn radio 4 correlation kings dataset royal institution matrices bots wave scattering triangles fractals kenilworth databet bubble bobble frobel arrangement puzzles games chebyshev crossnumbers tmip tetris big internet math-off countdown warwick alphabets world cup edinburgh logo rhombicuboctahedron braiding plastic ratio error bars video games coventry preconditioning crochet nine men's morris folding paper stickers asteroids programming mean mathsteroids finite group books game of life manchester crossnumber logs graph theory christmas dragon curves final fantasy wordle newcastle finite element method wool pi london underground reuleaux polygons recursion ternary matrix of minors a gamut of games draughts the aperiodical polynomials folding tube maps friendly squares python football live stream data visualisation sobolev spaces convergence speed signorini conditions weather station machine learning golden ratio sound misleading statistics puzzles inline code rugby raspberry pi matrix multiplication stirling numbers

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2026