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 "f" then "a" then "c" then "t" then "o" then "r" in the box below (case sensitive):

Archive

Show me a random blog post
 2025 

Jun 2025

A nonogram alphabet

Mar 2025

How to write a crossnumber

Jan 2025

Christmas (2024) is over
Friendly squares
 2024 
▼ show ▼
 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

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

Archive

Show me a random blog post
▼ show ▼
© Matthew Scroggs 2012–2025