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 "linear" 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

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

Archive

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