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.
2018-12-09
Loved these puzzles! I have no idea how to approach #9, though. Will the solutions be posted at any point? Or, can anyone provide a hint to how to approach it?
Seth
on
/blog/59
2018-12-10
@
Seth
: try solving it for 3a+4b, 3a+5b, 4a+5b, etc and look for patterns
Matthew
on
/blog/59
Archive
Show me a random blog post
2025
Jun 2025
A nonogram alphabet
Mar 2025
How to write a crossnumber
Jan 2025
Christmas (2024) is over
Friendly squares
2024
▼ show ▼
▲ hide ▲
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 -5+e-√2+3√3 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
hyperbolic surfaces
coins
errors
rugby
royal institution
guest posts
quadrilaterals
fonts
simultaneous equations
gather town
world cup
books
kings
ternary
binary
radio 4
christmas
fractals
standard deviation
wool
logic
raspberry pi
game of life
sport
logo
geometry
misleading statistics
hannah fry
crosswords
finite group
graphs
bots
24 hour maths
flexagons
chess
accuracy
programming
captain scarlet
boundary element methods
zines
talking maths in public
palindromes
php
triangles
plastic ratio
phd
pi approximation day
determinants
final fantasy
approximation
preconditioning
runge's phenomenon
wave scattering
platonic solids
bodmas
chebyshev
error bars
bempp
go
databet
sobolev spaces
alphabets
weather station
polynomials
pizza cutting
crossnumber
machine learning
football
friendly squares
national lottery
manchester science festival
mean
dates
oeis
countdown
data
hats
noughts and crosses
big internet math-off
nonograms
crossnumbers
youtube
convergence
inverse matrices
graph theory
numbers
braiding
computational complexity
stirling numbers
puzzles
dragon curves
tmip
trigonometry
electromagnetic field
datasaurus dozen
menace
data visualisation
statistics
inline code
folding tube maps
folding paper
logs
dataset
matrix multiplication
recursion
a gamut of games
pascal's triangle
reddit
exponential growth
manchester
news
bubble bobble
video games
dinosaurs
matrix of minors
python
matrix of cofactors
reuleaux polygons
edinburgh
christmas card
craft
interpolation
arithmetic
asteroids
estimation
gaussian elimination
advent calendar
weak imposition
harriss spiral
finite element method
golden spiral
turtles
probability
cross stitch
mathsjam
the aperiodical
regular expressions
london underground
curvature
numerical analysis
mathslogicbot
royal baby
ucl
realhats
light
correlation
cambridge
propositional calculus
martin gardner
hexapawn
nine men's morris
map projections
signorini conditions
mathsteroids
london
sound
rhombicuboctahedron
matrices
javascript
geogebra
pi
golden ratio
gerry anderson
games
game show probability
crochet
chalkdust magazine
pythagoras
stickers
pac-man
people maths
matt parker
anscombe's quartet
tennis
speed
european cup
draughts
newcastle
squares
fence posts
sorting
frobel
latex
live stream
Archive
Show me a random blog post
▼ show ▼
▲ hide ▲
2025
Jun 2025
A nonogram alphabet
Mar 2025
How to write a crossnumber
Jan 2025
Christmas (2024) is over
Friendly squares
2024
▼ show ▼
▲ hide ▲
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 -5+e-√2+3√3 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
weather station
matrix of minors
datasaurus dozen
exponential growth
asteroids
royal baby
puzzles
menace
chalkdust magazine
crossnumber
stickers
gaussian elimination
hyperbolic surfaces
flexagons
regular expressions
books
raspberry pi
probability
a gamut of games
logic
golden ratio
gather town
chess
braiding
recursion
platonic solids
numbers
wool
final fantasy
24 hour maths
london underground
javascript
edinburgh
pascal's triangle
radio 4
light
determinants
map projections
european cup
frobel
rhombicuboctahedron
matt parker
dragon curves
alphabets
pythagoras
finite group
national lottery
advent calendar
misleading statistics
interpolation
cambridge
boundary element methods
mathslogicbot
sobolev spaces
crochet
error bars
christmas
pi
gerry anderson
hannah fry
hexapawn
pac-man
graphs
big internet math-off
hats
mean
triangles
martin gardner
talking maths in public
sound
coins
the aperiodical
bodmas
electromagnetic field
programming
people maths
ucl
propositional calculus
bubble bobble
php
christmas card
game show probability
statistics
mathsteroids
polynomials
guest posts
live stream
binary
nine men's morris
football
craft
pizza cutting
databet
finite element method
stirling numbers
inverse matrices
rugby
matrices
computational complexity
accuracy
errors
python
plastic ratio
logs
london
folding tube maps
sorting
wave scattering
squares
reddit
crosswords
simultaneous equations
newcastle
games
nonograms
standard deviation
anscombe's quartet
logo
fence posts
manchester science festival
tmip
noughts and crosses
youtube
correlation
kings
friendly squares
news
bempp
signorini conditions
data visualisation
weak imposition
tennis
dataset
dates
geogebra
quadrilaterals
chebyshev
data
machine learning
numerical analysis
trigonometry
manchester
geometry
golden spiral
inline code
royal institution
matrix of cofactors
fonts
estimation
crossnumbers
runge's phenomenon
go
reuleaux polygons
draughts
harriss spiral
graph theory
world cup
fractals
matrix multiplication
preconditioning
speed
approximation
oeis
folding paper
sport
latex
game of life
pi approximation day
convergence
realhats
palindromes
countdown
captain scarlet
zines
turtles
ternary
arithmetic
phd
dinosaurs
curvature
mathsjam
video games
cross stitch
bots
© Matthew Scroggs 2012–2025
on /blog/59