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 e+φ 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
edinburgh
simultaneous equations
dates
rugby
folding tube maps
mean
royal institution
hats
christmas
python
gaussian elimination
crossnumbers
matrix of minors
talking maths in public
crosswords
convergence
anscombe's quartet
mathsteroids
london
turtles
rust
stirling numbers
machine learning
exponential growth
data visualisation
logic
live stream
phd
frobel
harriss spiral
boundary element methods
logo
rhombicuboctahedron
map projections
pokémon
manchester
pizza cutting
error bars
plastic ratio
reuleaux polygons
pythagoras
computational complexity
the aperiodical
matrices
weather station
sport
martin gardner
nonograms
guest posts
games
statistics
golden spiral
wool
fence posts
finite group
realhats
partridge puzzle
polynomials
sorting
big internet math-off
newcastle
mathsjam
golden ratio
hannah fry
recursion
propositional calculus
graphs
binary
flexagons
databet
matt parker
video games
alphabets
interpolation
pascal's triangle
news
a gamut of games
puzzles
football
accuracy
pokémon wordle
draughts
gerry anderson
tmip
craft
php
geometry
pi
mathslogicbot
speed
pac-man
data
chalkdust magazine
ternary
european cup
radio 4
hexapawn
cambridge
signorini conditions
matrix of cofactors
correlation
royal baby
friendly squares
final fantasy
folding paper
misleading statistics
raspberry pi
light
countdown
triangles
estimation
youtube
standard deviation
crochet
hyperbolic surfaces
datasaurus dozen
determinants
errors
national lottery
people maths
arithmetic
chess
cross stitch
kings
tetris
approximation
dataset
reddit
curvature
noughts and crosses
thirteen
fractals
go
programming
sobolev spaces
palindromes
logs
tennis
chebyshev
platonic solids
zines
dinosaurs
bubble bobble
latex
braiding
captain scarlet
probability
advent calendar
wave scattering
ucl
coventry
preconditioning
fonts
24 hour maths
coins
regular expressions
bodmas
inverse matrices
crossnumber
dragon curves
bots
nine men's morris
stickers
finite element method
runge's phenomenon
warwick
javascript
world cup
numbers
inline code
game of life
matrix multiplication
arrangement puzzles
game show probability
squares
london underground
trigonometry
electromagnetic field
pi approximation day
wordle
christmas card
graph theory
weak imposition
menace
quadrilaterals
sound
asteroids
gather town
geogebra
kenilworth
numerical analysis
bempp
oeis
bluesky
books
manchester science festival
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 e+φ 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
final fantasy
logo
world cup
rugby
weather station
estimation
gather town
tetris
harriss spiral
raspberry pi
matt parker
propositional calculus
misleading statistics
people maths
big internet math-off
tmip
phd
hyperbolic surfaces
graph theory
coventry
chess
errors
menace
cambridge
error bars
mathsjam
national lottery
exponential growth
bots
newcastle
logic
accuracy
edinburgh
sorting
royal baby
folding paper
matrix multiplication
realhats
coins
machine learning
gerry anderson
programming
nine men's morris
fractals
game show probability
numerical analysis
a gamut of games
reuleaux polygons
recursion
stickers
partridge puzzle
go
crosswords
trigonometry
electromagnetic field
quadrilaterals
map projections
dataset
stirling numbers
captain scarlet
statistics
pac-man
python
sound
datasaurus dozen
numbers
determinants
cross stitch
zines
correlation
alphabets
thirteen
24 hour maths
fonts
pi approximation day
binary
tennis
computational complexity
game of life
bubble bobble
chebyshev
radio 4
matrices
pokémon wordle
crossnumber
matrix of cofactors
fence posts
weak imposition
draughts
reddit
books
advent calendar
logs
squares
countdown
flexagons
bempp
arrangement puzzles
matrix of minors
the aperiodical
databet
crossnumbers
craft
christmas
london underground
pizza cutting
frobel
approximation
plastic ratio
pokémon
friendly squares
pythagoras
warwick
royal institution
rust
runge's phenomenon
christmas card
video games
puzzles
palindromes
inverse matrices
games
geometry
data visualisation
manchester
ternary
mean
standard deviation
anscombe's quartet
manchester science festival
live stream
finite group
boundary element methods
convergence
mathsteroids
oeis
geogebra
hannah fry
finite element method
ucl
golden ratio
latex
dinosaurs
turtles
interpolation
folding tube maps
bluesky
youtube
arithmetic
triangles
platonic solids
wool
pascal's triangle
golden spiral
braiding
dragon curves
simultaneous equations
sobolev spaces
nonograms
bodmas
probability
signorini conditions
chalkdust magazine
mathslogicbot
regular expressions
dates
data
asteroids
news
polynomials
guest posts
rhombicuboctahedron
kings
curvature
football
hats
wordle
sport
inline code
hexapawn
php
crochet
javascript
gaussian elimination
european cup
speed
martin gardner
light
kenilworth
talking maths in public
pi
graphs
wave scattering
noughts and crosses
preconditioning
london
© Matthew Scroggs 2012–2026
on /blog/59