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.
2017-12-28
I can solve #2 with code, but is there a tidy maths way to solve it directly?
C
on
/blog/47
2018-01-01
@
C
: look up something called
Frobenius numbers
. This problem's equivalent to
finding the Frobenius number for 14 and 29
.
Lewis
on
/blog/47
×1
Archive
Show me a random blog post
2026
Feb 2026
Christmas (2025) is over
2025
▼ show ▼
▲ hide ▲
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
▼ 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 -23+eg 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
errors
inverse matrices
graph theory
braiding
mean
stirling numbers
european cup
asteroids
kenilworth
mathsjam
noughts and crosses
tennis
quadrilaterals
weak imposition
countdown
interpolation
news
propositional calculus
signorini conditions
inline code
boundary element methods
friendly squares
matrices
statistics
rust
platonic solids
ucl
latex
polynomials
alphabets
hats
tmip
hannah fry
determinants
fence posts
royal baby
world cup
draughts
speed
probability
estimation
pi approximation day
a gamut of games
map projections
sound
game of life
coins
light
manchester
hexapawn
hyperbolic surfaces
gather town
matt parker
finite element method
the aperiodical
numerical analysis
ternary
standard deviation
martin gardner
reddit
flexagons
datasaurus dozen
arithmetic
cross stitch
folding paper
palindromes
cambridge
oeis
javascript
gaussian elimination
simultaneous equations
pizza cutting
geometry
approximation
radio 4
pac-man
chalkdust magazine
football
misleading statistics
numbers
stickers
christmas
warwick
sorting
coventry
royal institution
matrix of cofactors
pythagoras
databet
dates
manchester science festival
rhombicuboctahedron
crosswords
games
chebyshev
pi
talking maths in public
game show probability
youtube
fonts
binary
newcastle
fractals
matrix multiplication
sport
anscombe's quartet
wool
menace
raspberry pi
frobel
machine learning
books
php
geogebra
computational complexity
sobolev spaces
logo
video games
harriss spiral
partridge puzzle
kings
mathslogicbot
christmas card
zines
regular expressions
craft
dinosaurs
captain scarlet
turtles
trigonometry
london underground
bempp
golden spiral
pascal's triangle
crochet
chess
big internet math-off
edinburgh
programming
logs
logic
crossnumber
phd
preconditioning
plastic ratio
people maths
python
electromagnetic field
london
thirteen
accuracy
bubble bobble
bots
live stream
error bars
nine men's morris
recursion
curvature
mathsteroids
correlation
bodmas
dataset
convergence
triangles
nonograms
puzzles
wave scattering
data visualisation
rugby
weather station
finite group
runge's phenomenon
dragon curves
reuleaux polygons
24 hour maths
gerry anderson
guest posts
matrix of minors
graphs
golden ratio
data
go
folding tube maps
exponential growth
realhats
crossnumbers
squares
final fantasy
national lottery
advent calendar
Archive
Show me a random blog post
▼ show ▼
▲ hide ▲
2026
Feb 2026
Christmas (2025) is over
2025
▼ show ▼
▲ hide ▲
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
▼ 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 -23+eg 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
hats
platonic solids
finite group
fonts
coventry
hyperbolic surfaces
the aperiodical
braiding
accuracy
bots
databet
rugby
misleading statistics
dataset
inline code
pi approximation day
pac-man
reuleaux polygons
runge's phenomenon
standard deviation
palindromes
map projections
alphabets
menace
correlation
statistics
asteroids
polynomials
royal baby
nonograms
sport
computational complexity
london underground
24 hour maths
games
books
royal institution
flexagons
matt parker
interpolation
logo
stirling numbers
countdown
hexapawn
speed
folding paper
graph theory
errors
datasaurus dozen
puzzles
a gamut of games
ucl
sobolev spaces
edinburgh
javascript
probability
finite element method
advent calendar
gerry anderson
quadrilaterals
talking maths in public
craft
crosswords
stickers
wool
final fantasy
wave scattering
nine men's morris
manchester science festival
curvature
propositional calculus
binary
martin gardner
manchester
kenilworth
football
logs
pythagoras
geogebra
fence posts
thirteen
signorini conditions
inverse matrices
captain scarlet
friendly squares
squares
golden ratio
dragon curves
chalkdust magazine
turtles
oeis
christmas
noughts and crosses
ternary
mathslogicbot
newcastle
reddit
approximation
latex
simultaneous equations
guest posts
machine learning
numerical analysis
phd
chebyshev
bubble bobble
gaussian elimination
radio 4
php
dinosaurs
weather station
sound
estimation
cambridge
matrices
video games
pascal's triangle
news
plastic ratio
numbers
folding tube maps
mathsteroids
cross stitch
regular expressions
game of life
bempp
light
matrix multiplication
matrix of minors
realhats
tmip
warwick
kings
people maths
golden spiral
weak imposition
electromagnetic field
dates
tennis
national lottery
graphs
pi
european cup
error bars
raspberry pi
partridge puzzle
triangles
recursion
trigonometry
pizza cutting
draughts
chess
frobel
youtube
boundary element methods
gather town
data
preconditioning
arithmetic
exponential growth
zines
geometry
game show probability
matrix of cofactors
hannah fry
mean
christmas card
sorting
convergence
london
crossnumber
harriss spiral
bodmas
crossnumbers
rust
big internet math-off
fractals
determinants
live stream
programming
crochet
python
coins
logic
mathsjam
data visualisation
rhombicuboctahedron
world cup
anscombe's quartet
go
© Matthew Scroggs 2012–2026
on /blog/47