mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Comment
Comments
Comments in green were written by me. Comments in blue were not written by me.
2018-12-10
Great puzzle problems! Hint on #9: try starting with an analogous problem using smaller numbers (e.g.
3a + 10b
). This helped me to see what I had to do more generally.
Noah
on
/blog/59
×1
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 ▼
▲ hide ▲
Dec 2023
Christmas card 2023
Nov 2023
Christmas (2023) is coming!
Zines
Sep 2023
TMiP 2023 puzzle hunt
May 2023
Chalkdust issue 17
Apr 2023
Logo Asteroids
Mar 2023
Mathsteroids on hyperbolic surfaces
Feb 2023
The databet
Jan 2023
Christmas (2022) is over
2022
▼ show ▼
▲ hide ▲
Dec 2022
Off-by-one errors
Christmas card 2022
Nov 2022
Christmas (2022) is coming!
Oct 2022
24 Hour Maths Game Show
Mar 2022
Approximating π
Feb 2022
Build your own MENACE
Jan 2022
Christmas (2021) is over
2021
▼ show ▼
▲ hide ▲
Dec 2021
Christmas card 2021
Nov 2021
Christmas (2021) is coming!
Sep 2021
TMiP 2021 puzzle hunt
May 2021
Close encounters of the second kind
Jan 2021
Christmas (2020) is over
2020
▼ show ▼
▲ hide ▲
Dec 2020
Christmas card 2020
Nov 2020
Christmas (2020) is coming!
Jul 2020
Happy 2+g-φ-5√2 Approximation Day!
May 2020
A surprising fact about quadrilaterals
Interesting tautologies
Mar 2020
Log-scaled axes
Feb 2020
PhD thesis, chapter ∞
PhD thesis, chapter 5
PhD thesis, chapter 4
PhD thesis, chapter 3
Inverting a matrix
PhD thesis, chapter 2
Jan 2020
PhD thesis, chapter 1
Gaussian elimination
Matrix multiplication
Christmas (2019) is over
2019
▼ show ▼
▲ hide ▲
Dec 2019
Visualising MENACE's learning
Christmas card 2019
Nov 2019
Christmas (2019) is coming!
Sep 2019
A non-converging LaTeX document
TMiP 2019 treasure punt
Jul 2019
Big Internet Math-Off stickers 2019
Jun 2019
Proving a conjecture
Apr 2019
Harriss and other spirals
Mar 2019
realhats
Jan 2019
Christmas (2018) is over
2018
▼ show ▼
▲ hide ▲
Dec 2018
Christmas cross stitch
MENACE in fiction
Christmas card 2018
Nov 2018
Christmas (2018) is coming!
Sep 2018
Runge's Phenomenon
Jul 2018
World Cup stickers 2018, pt. 3
Mathsteroids
Jun 2018
World Cup stickers 2018, pt. 2
May 2018
A bad Puzzle for Today
Apr 2018
Building MENACEs for other games
Mar 2018
A 20,000-to-1 baby?
World Cup stickers 2018
Jan 2018
Origins of World War I
Christmas (2017) is over
2017
▼ show ▼
▲ hide ▲
Dec 2017
Christmas card 2017
Nov 2017
Christmas (2017) is coming!
MENACE at Manchester Science Festival
Jun 2017
Big Ben Strikes Again
Mar 2017
The end of coins of constant width
Dragon curves II
Feb 2017
The importance of estimation error
Jan 2017
Is MEDUSA the new BODMAS?
2016
▼ show ▼
▲ hide ▲
Dec 2016
Christmas (2016) is over
Video game surfaces
Christmas card 2016
Nov 2016
Christmas (2016) is coming!
Oct 2016
Logical contradictions
Palindromic dates
Sep 2016
Tube map kaleidocycles
Jul 2016
Solving the cross diagonal cover problem
Jun 2016
Braiding, pt. 2
Braiding, pt. 1
Making names in Life
May 2016
Euro 2016 stickers
Mar 2016
Proving Pythagoras' theorem
Dragon curves
The
Mathematical Games
of Martin Gardner
Jan 2016
Christmas (2015) is over
2015
▼ show ▼
▲ hide ▲
Nov 2015
Christmas (2015) is coming!
Oct 2015
How to kick a conversion
How much will I win on the new National Lottery?
Aug 2015
How OEISbot works
MENACE
Mar 2015
Optimal Pac-Man
Tube map stellated rhombicuboctahedron
Logic bot, pt. 2
Design your own flexagon
Jan 2015
Tube map Platonic solids, pt. 3
2014
▼ show ▼
▲ hide ▲
Nov 2014
Logic bot
Sep 2014
Electromagnetic Field talk
Jun 2014
Tennis maths
May 2014
World Cup stickers
Apr 2014
Countdown probability, pt. 2
Countdown probability
Mar 2014
New machine unfriendly £1 coin, pt. 2
New machine unfriendly £1 coin
2013
▼ show ▼
▲ hide ▲
Dec 2013
Assorted christmaths
Pointless probability
Jul 2013
"Uncanny" royal coincidence
Raspberry Pi weather station
2012
▼ show ▼
▲ hide ▲
Nov 2012
Tube map Platonic solids, pt. 2
Oct 2012
Tube map Platonic solids
Tags
golden ratio
noughts and crosses
people maths
determinants
electromagnetic field
tennis
errors
crosswords
big internet math-off
geogebra
christmas
gaussian elimination
matrix of cofactors
wordle
inverse matrices
mean
tmip
fractals
graphs
pokémon
turtles
graph theory
runge's phenomenon
weak imposition
matt parker
recursion
rugby
ucl
crochet
hats
braiding
python
a gamut of games
computational complexity
go
speed
sobolev spaces
numerical analysis
london
estimation
raspberry pi
anscombe's quartet
matrix of minors
php
signorini conditions
pythagoras
captain scarlet
hexapawn
simultaneous equations
accuracy
zines
ternary
thirteen
royal institution
pac-man
pokémon wordle
crossnumbers
books
partridge puzzle
football
probability
coins
reddit
error bars
exponential growth
video games
dataset
mathslogicbot
standard deviation
draughts
pascal's triangle
the aperiodical
statistics
binary
flexagons
radio 4
arrangement puzzles
warwick
national lottery
oeis
kenilworth
logs
reuleaux polygons
preconditioning
fence posts
european cup
asteroids
finite element method
kings
squares
puzzles
propositional calculus
triangles
gather town
countdown
logic
matrix multiplication
golden spiral
bempp
world cup
trigonometry
frobel
bots
logo
manchester
royal baby
finite group
live stream
guest posts
geometry
javascript
pizza cutting
sport
chess
numbers
arithmetic
inline code
manchester science festival
mathsteroids
coventry
pi
correlation
fonts
pi approximation day
data visualisation
quadrilaterals
interpolation
news
nonograms
machine learning
london underground
realhats
matrices
friendly squares
game show probability
hyperbolic surfaces
sorting
mathsjam
regular expressions
phd
harriss spiral
dragon curves
programming
crossnumber
edinburgh
bodmas
weather station
misleading statistics
stirling numbers
dates
chebyshev
alphabets
light
palindromes
curvature
data
24 hour maths
christmas card
stickers
dinosaurs
rust
youtube
tetris
craft
gerry anderson
games
menace
approximation
convergence
folding tube maps
databet
final fantasy
map projections
hannah fry
sound
cambridge
cross stitch
game of life
plastic ratio
wool
datasaurus dozen
wave scattering
rhombicuboctahedron
nine men's morris
chalkdust magazine
bluesky
folding paper
newcastle
boundary element methods
martin gardner
talking maths in public
platonic solids
advent calendar
polynomials
bubble bobble
latex
Archive
Show me a random blog post
▼ show ▼
▲ hide ▲
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 ▼
▲ hide ▲
Dec 2023
Christmas card 2023
Nov 2023
Christmas (2023) is coming!
Zines
Sep 2023
TMiP 2023 puzzle hunt
May 2023
Chalkdust issue 17
Apr 2023
Logo Asteroids
Mar 2023
Mathsteroids on hyperbolic surfaces
Feb 2023
The databet
Jan 2023
Christmas (2022) is over
2022
▼ show ▼
▲ hide ▲
Dec 2022
Off-by-one errors
Christmas card 2022
Nov 2022
Christmas (2022) is coming!
Oct 2022
24 Hour Maths Game Show
Mar 2022
Approximating π
Feb 2022
Build your own MENACE
Jan 2022
Christmas (2021) is over
2021
▼ show ▼
▲ hide ▲
Dec 2021
Christmas card 2021
Nov 2021
Christmas (2021) is coming!
Sep 2021
TMiP 2021 puzzle hunt
May 2021
Close encounters of the second kind
Jan 2021
Christmas (2020) is over
2020
▼ show ▼
▲ hide ▲
Dec 2020
Christmas card 2020
Nov 2020
Christmas (2020) is coming!
Jul 2020
Happy 2+g-φ-5√2 Approximation Day!
May 2020
A surprising fact about quadrilaterals
Interesting tautologies
Mar 2020
Log-scaled axes
Feb 2020
PhD thesis, chapter ∞
PhD thesis, chapter 5
PhD thesis, chapter 4
PhD thesis, chapter 3
Inverting a matrix
PhD thesis, chapter 2
Jan 2020
PhD thesis, chapter 1
Gaussian elimination
Matrix multiplication
Christmas (2019) is over
2019
▼ show ▼
▲ hide ▲
Dec 2019
Visualising MENACE's learning
Christmas card 2019
Nov 2019
Christmas (2019) is coming!
Sep 2019
A non-converging LaTeX document
TMiP 2019 treasure punt
Jul 2019
Big Internet Math-Off stickers 2019
Jun 2019
Proving a conjecture
Apr 2019
Harriss and other spirals
Mar 2019
realhats
Jan 2019
Christmas (2018) is over
2018
▼ show ▼
▲ hide ▲
Dec 2018
Christmas cross stitch
MENACE in fiction
Christmas card 2018
Nov 2018
Christmas (2018) is coming!
Sep 2018
Runge's Phenomenon
Jul 2018
World Cup stickers 2018, pt. 3
Mathsteroids
Jun 2018
World Cup stickers 2018, pt. 2
May 2018
A bad Puzzle for Today
Apr 2018
Building MENACEs for other games
Mar 2018
A 20,000-to-1 baby?
World Cup stickers 2018
Jan 2018
Origins of World War I
Christmas (2017) is over
2017
▼ show ▼
▲ hide ▲
Dec 2017
Christmas card 2017
Nov 2017
Christmas (2017) is coming!
MENACE at Manchester Science Festival
Jun 2017
Big Ben Strikes Again
Mar 2017
The end of coins of constant width
Dragon curves II
Feb 2017
The importance of estimation error
Jan 2017
Is MEDUSA the new BODMAS?
2016
▼ show ▼
▲ hide ▲
Dec 2016
Christmas (2016) is over
Video game surfaces
Christmas card 2016
Nov 2016
Christmas (2016) is coming!
Oct 2016
Logical contradictions
Palindromic dates
Sep 2016
Tube map kaleidocycles
Jul 2016
Solving the cross diagonal cover problem
Jun 2016
Braiding, pt. 2
Braiding, pt. 1
Making names in Life
May 2016
Euro 2016 stickers
Mar 2016
Proving Pythagoras' theorem
Dragon curves
The
Mathematical Games
of Martin Gardner
Jan 2016
Christmas (2015) is over
2015
▼ show ▼
▲ hide ▲
Nov 2015
Christmas (2015) is coming!
Oct 2015
How to kick a conversion
How much will I win on the new National Lottery?
Aug 2015
How OEISbot works
MENACE
Mar 2015
Optimal Pac-Man
Tube map stellated rhombicuboctahedron
Logic bot, pt. 2
Design your own flexagon
Jan 2015
Tube map Platonic solids, pt. 3
2014
▼ show ▼
▲ hide ▲
Nov 2014
Logic bot
Sep 2014
Electromagnetic Field talk
Jun 2014
Tennis maths
May 2014
World Cup stickers
Apr 2014
Countdown probability, pt. 2
Countdown probability
Mar 2014
New machine unfriendly £1 coin, pt. 2
New machine unfriendly £1 coin
2013
▼ show ▼
▲ hide ▲
Dec 2013
Assorted christmaths
Pointless probability
Jul 2013
"Uncanny" royal coincidence
Raspberry Pi weather station
2012
▼ show ▼
▲ hide ▲
Nov 2012
Tube map Platonic solids, pt. 2
Oct 2012
Tube map Platonic solids
Tags
world cup
recursion
kings
martin gardner
news
bluesky
data visualisation
rhombicuboctahedron
hexapawn
captain scarlet
palindromes
realhats
preconditioning
zines
correlation
bubble bobble
interpolation
numerical analysis
wool
fractals
raspberry pi
matrix of minors
inverse matrices
probability
mathsjam
bodmas
javascript
golden ratio
flexagons
game of life
finite element method
anscombe's quartet
gather town
plastic ratio
books
mathsteroids
data
logs
go
polynomials
hats
tmip
cambridge
triangles
machine learning
the aperiodical
light
stirling numbers
datasaurus dozen
determinants
draughts
menace
guest posts
map projections
alphabets
dragon curves
live stream
inline code
24 hour maths
rugby
hyperbolic surfaces
a gamut of games
curvature
hannah fry
advent calendar
propositional calculus
estimation
computational complexity
nonograms
geogebra
simultaneous equations
errors
kenilworth
chalkdust magazine
python
nine men's morris
turtles
finite group
video games
chess
oeis
sobolev spaces
bempp
weather station
numbers
graph theory
logic
radio 4
crossnumbers
pythagoras
runge's phenomenon
matrix of cofactors
noughts and crosses
newcastle
misleading statistics
royal baby
boundary element methods
royal institution
speed
countdown
matrix multiplication
dataset
pascal's triangle
puzzles
statistics
game show probability
london underground
golden spiral
coventry
databet
sport
arithmetic
manchester science festival
exponential growth
frobel
partridge puzzle
folding tube maps
standard deviation
gerry anderson
talking maths in public
regular expressions
programming
youtube
mean
friendly squares
rust
crosswords
pokémon
graphs
chebyshev
tennis
phd
dates
pizza cutting
quadrilaterals
reuleaux polygons
manchester
pokémon wordle
people maths
pi
warwick
sorting
fence posts
braiding
crossnumber
edinburgh
craft
platonic solids
dinosaurs
accuracy
european cup
bots
matrices
weak imposition
reddit
pi approximation day
fonts
geometry
trigonometry
matt parker
games
harriss spiral
asteroids
electromagnetic field
london
football
binary
wordle
tetris
php
ucl
pac-man
final fantasy
cross stitch
convergence
signorini conditions
christmas
logo
arrangement puzzles
approximation
mathslogicbot
error bars
ternary
stickers
christmas card
latex
sound
national lottery
big internet math-off
coins
gaussian elimination
folding paper
squares
crochet
wave scattering
thirteen
© Matthew Scroggs 2012–2026
on /blog/59