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
 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

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

Archive

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