mscroggs.co.uk
mscroggs.co.uk

subscribe

Blog

 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 "hexagon" 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

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

Archive

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