# Articles by Anna Maria Hartkopf

Anna Maria is a professional maths communicator and is currently writing her PhD about her project, Polytopia.
polytopia.eu    + More articles by Anna Maria

• ### Book of the Year 2020

We announce the winner of this coveted prize

• ### The Wonder Book of Geometry

We review the seventh of this year's nominees for the Book of the Year, and open the vote for the readers' favourite
• ### Hello Numbers! What Can You Do?

We review the sixth of this year's nominees for the Book of the Year
• ### Why Study Mathematics?

We review the fifth of this year's nominees for the Book of the Year
• ### Molly and the Mathematical Mystery

We review the fourth of this year's nominees for the Book of the Year
• ### How to Make the World Add Up

We review the third of this year's nominees for the Book of the Year
• ### Geometry Juniors

We review the second of this year's nominees for the Book of the Year

We review the first of this year's nominees for the Book of the Year
• ### Chalkdust Book of the Year 2020

We announce the shortlist
• ### 7 ways to tell if a number is divisible by 7

Łukasz takes us on a tour through a surprisingly diverse range of algorithms to test for divisibility by 7
• ### Christmas puzzles: the solutions

We reveal the solutions to our Christmas puzzles!
• ### Christmas puzzle #3: Colouring by numbers

Puzzle #3 in our 2020 Christmas puzzle series
• ### Christmas puzzle #2: A Christmas nonogram

Puzzle #2 in our 2020 Christmas puzzle series
• ### Christmas puzzle #1: Christmas tree sudoku

Puzzle #1 in our 2020 Christmas puzzle series
• ### Revisiting the 1986 computer classic Number Munchers!

Belgin gets hooked on a classic maths game...in 16 bits! Here's her review...
• ### Flo-maps fractograms: the game

Try out these flo-maps for yourself: fractions speak louder than words
• ### Flo-maps fractograms: the prequel

Hugh Duncan returns with the long-awaited prequel in which he further explores the geometric patterns hidden behind the fractions.
• ### Rewatch the Issue 12 virtual launch event

Now available to catch up on YouTube
• ### Read Issue 12 now!

Independent Sage's Christina Pagel, hyperbolic mindfulness and make-your-own Markov tweet feature in our latest edition. Plus all your favourite puzzles & columns.

• ### Dear Dirichlet, Issue 12

Books, business and barns are the topics readers have sent in to the professor's postbox this issue
• ### Prize crossnumber, Issue 12

£100 of MathsGear goodies to be won if you can solve it
• ### How can we tell that 2≠1?

Maynard manages to prove that 2≠1 in less space than it took Bertrand Russell to prove that 1+1=2
• ### Colouring for mindfulness

Florian Bouyer explains the beautiful geometry behind his mathematical colouring-in designs.

A handy tool that can make writing great tweets much easier
• ### The birth of the Fields medal

Who is behind the so-called Nobel prize of mathematics? Gerda Grase investigates.
• ### (Not) squaring the circle

Sam Hartburn attempts the impossible
• ### The big argument

Does maths need a Nobel prize?

Emilio McAllister Fognini explores the maths that made Turing so famous
• ### What’s hot and what’s not, Issue 12

Fashion is fleeting, Chalkdust regulars are not.
• ### How to make: a chaotic scatterer

Make your own scatterer from some old Christmas decorations
• ### Fun with Markov chains

I love Markov is I love Markov chains love me.
• ### Oπnions: Should I share my code?

Scroggs debates whether sharing truly is caring

Solitons

• ### Counting Countdowns

Colin counts Countdown's contingent of conundrum causing calculations
• ### Chaotic scattering: uncertainty and fractals from reflections

James M Christian reflects on chaos
• ### Top Ten: Maths-themed days out

The definitive chart of the best day trips
• ### Crossnumber winners, issue 11

Did you solve it?
• ### Chalkdust issue 11 puzzle hunt #5

Adam Townsend sets the fifth and final puzzle. Can you solve it?
• ### Chalkdust issue 11 puzzle hunt #4

Humbug sets the fourth puzzle. Can you solve it?
• ### Chalkdust issue 11 puzzle hunt #3

David Sheard sets the third puzzle. Can you solve it?
• ### Chalkdust issue 11 puzzle hunt #2

TD Dang sets the second puzzle. Can you solve it?
• ### Issue 11

Space-filling curves, cheating at cards and automated joke generation feature in our spring 2020 edition. Plus all your favourite puzzles & columns.
• ### Launch day puzzle hunt

Celebrate the launch of issue 11 by taking part in our puzzle hunt
• ### In conversation with Trachette Jackson

We chat with Trachette about her work in mathematical oncology, her role models, and boosting diversity in mathematics
• ### Prize crossnumber, Issue 11

£100 of MathsGear goodies to be won if you can solve it
• ### What is the shape of you?

Are you a torus? A cone? Ed Spheran? Find out by answering a maximum of five easy questions
• ### How to cheat at cards

Kevin Houston teaches us how to deal ourselves the best hand
• ### Dear Dirichlet, Issue 11

Grant applications, musical media and last-minute Olympics training are the topics readers have sent in to the professor's postbox this issue

Mara Kortenkamp, Erin Henning and Anna Maria Hartkopf give us a tour of Polytopia, a home for peculiar polytopes
• ### Automated joke generation

I like my towns like I like my Alex: Bolton
• ### Kepler’s barrels

Sam Hartburn orders wine by the barrel, but wonders if she's getting the most wine
• ### What can you do with this space?

Nobody could draw a space filling curve by hand, but that doesn’t stop Andrew Stacey
• ### Top ten vote issue 11

Vote for your favourite maths-themed day out
• ### Page 3 model: Cooking spaghetti

Some saucy modelling
• ### Weirdonacci numbers

Like Fibonacci, but weird. Robert J Low and Thierry Platini explain

• ### On the cover: Apollonian packing

David Sheard explores the rich mathematics and history behind the Apollonian packing, and the cover of issue 11
• ### What’s hot and what’s not, Issue 11

Fashion is fleeting, Chalkdust regulars are not.
• ### Top Ten: pictures of scorpions

The definitive chart of the best pictures of scorpions
• ### Polynomials’ order

Yuliya Nesterova orders some polynomials around
• ### Chalkdust issue 11 puzzle hunt #1

Matthew Scroggs sets the first puzzle. Can you solve it?
• ### Chalkdust issue 11 – Coming 17 April

Issue 11 of everyone's favourite magazine for the mathematically curious is coming very soon
• ### Crossnumber winners, issue 10

Did you solve it?
• ### On curvature: cars, clothoids and cartography

Issah Merchant discusses the geometric principles behind, and real-world applications of, curvature
• ### Book of the Year 2019

We announce the winner of this coveted prize

• ### The Hidden Half

We review the ninth of this year's nominees for the Book of the Year
• ### Maths on the Back of an Envelope

We review the eighth of this year's nominees for the Book of the Year
• ### The Maths of Life and Death

We review the sevnth of this year's nominees for the Book of the Year
• ### Humble Pi

We review the sixth of this year's nominees for the Book of the Year
• ### So You Think You’ve Got Problems?

We review the fifth of this year's nominees for the Book of the Year
• ### Here Come the Numbers

We review the fourth of this year's nominees for the Book of the Year
• ### The Art of Logic

We review the third of this year's nominees for the Book of the Year
• ### A Compendium of Mathematical Methods

We review the second of this year's nominees for the Book of the Year
• ### Geometry Puzzles in Felt Tip

We review the first of this year's nominees for the Book of the Year
• ### Chalkdust Book of the Year 2019

We reveal the shortlist
• ### Constructing the cover of Issue 10

21 simple steps to draw your own Islamic pattern!
• ### Issue 10

Computational proofs, AI music and embarrassing surveys feature in the autumn 2019 issue. Plus all your favourite puzzles & columns.
• ### Prize crossnumber, Issue 10

Can you solve it?
• ### Can computers prove theorems?

And will we soon all be out of a job? Kevin Buzzard worries us all.
• ### Dear Dirichlet, Issue 10

Letter writing, hospital visits, and getting the family active are among the topics of discussion in this issue's Dear Dirichlet advice column
• ### In conversation with Clifford Cocks

We chat to the crypto chief about inventing RSA... but not being able to tell anyone
• ### Comic: The Inverse Homotopy, part 7

Part 7 of our mathematical comic's adventure
• ### On √2

Yiannis Petridis connects square roots and continued fractions
• ### Spotlight on: Pamela Harris

Pamela E Harris's story, as told by Talithia Williams
• ### Artificial music

Carmen Cabrera Arnau explores the use of AI in composition
• ### Which mathematician are you?

How do you like your numbers? Prime? Positive but infinitely small? Find out which famous mathematician you are
• ### They might not be giants

Angela Brett might not be standing on their shoulders

• ### On the cover: Islamic geometry

Explaining the mathematics of tiling, and the cover of Issue 10
• ### What’s hot and what’s not, Issue 10

Fashion is fleeting, Chalkdust regulars are not.
• ### Top Ten: issues of Chalkdust

The definitive chart of the best issues of Chalkdust
• ### Page 3 model: Bees

You won't bee-lieve it
• ### Secrets, surveys and statistics

Paula Rowińska uses mathematics to answer some awkward questions
• ### Top ten vote issue 10

Vote for your favourite picture of a scorpion
• ### Curiosities of linearly ordered sets

Andrei Chekmasov explores order and infinity
• ### How to make: tessellating shortbread

Tasty and mathematical
• ### Chalkdust issue 10 – Coming 24 October

Come along to our launch party for free pizza and the real quiz
• ### Black mathematician month 2019

A month celebrating the contributions of black mathematicians
• ### Crossnumber winners, issue 09

Did you solve it?
• ### Reproduce or die

Hugh Duncan explores an exciting variation on Conway's Game of Life
• ### Review of Problem Solving in GCSE Mathematics

We have a go at the puzzles in Daniel Griller’s new book
• ### How do calculators do trigonometry?

W.L. Feldhusen explains the obscure sine-finding trick hiding inside your calculator!
• ### Counting all the numbers between zero and one

Tony Pisculli dissects the lyrics from a popular song
• ### Unknown pleasures: pulsars and the first data revolution

The scientific story behind the cover of Joy Division's treasured debut
• ### Talkdust, episode 4

A podcast for the mathematically curious
• ### The scutoid: a geometric building block of life

In 2018, scientists discovered a new shape that is essential to multicellular life
• ### Issue 09

Ride a phantom parabola into our spring 2019 issue. Billiards, maths, tiles, mistakes, plus all your favourite regulars.
• ### Prize crossnumber, Issue 09

Win £100 of Maths Gear goodies by solving our famously fiendish crossnumber
• ### When Truchet met Chladni

Stephen Muirhead meets neither, as he explores waves, tiles and percolation theory
• ### Dear Dirichlet, Issue 09

Coffee, Brexit and badgers are among the topics of discussion in this issue's Dear Dirichlet advice column
• ### Playing billiards with cue-bics

Yuliya Nesterova misses all the pockets, but does manage to solve some cubics
• ### Horoscope, Issue 09

Mystic mug has some predictions for you...
• ### Hiding in plain sight

Axel Kerbec gets locked out while exchanging keys
• ### Top Ten: Chalkdust regulars

The definitive chart of the best Chalkdust regulars
• ### In conversation with Matt Parker

Interviewing Matt was a mistake
• ### Oπnions: Can a horse have an Erdős number?

Lucy Rycroft-Smith reflects on the use of this well-established measurement

Your guide to creating the optimal homepage
• ### On the cover: Harriss spiral

Find out more about the spiral trees on the cover of Issue 09
• ### What’s hot and what’s not, Issue 09

Fashion is fleeting, Chalkdust regulars are not.
• ### Which symbol are you?

Are you u or i? Am I? Who?
• ### Bells, braids and taxicabs

An adventure that starts with a morning of bell ringing and ends with a mad dash in a taxi
• ### Top ten vote issue 09

Vote for your favourite Chalkdust issue

• ### Page 3 model: Game of Thrones

Using graph theory to predict who will sit the iron throne
• ### Counting caterpillars

Peter Rowlett uses combinatorics to generate caterpillars
• ### Striking the right chord

How big are these random shapes? Submit an answer for a chance to win a prize!

• ### Review: Mathematical socks 2

More sartorial inquisition for your feet
• ### Chalkdust issue 09 – coming 15 March

Read the magazine, and come to the launch party!
• ### Talkdust, episode 3

A podcast for the mathematically curious
• ### Piet Hein: the pirate

Did the Danish mathematician also sail the high seas?
• ### Crossnumber winners, Issue 08

Did you solve it?

Tricks and puzzles that provide an introduction to the world of partitions
• ### Talkdust, episode 2

A podcast for the mathematically curious
• ### The sieve of Eratosthenes: revisited

How can we teach people about the sieve in a way that helps them best understand prime numbers?
• ### An irrational problem

Investigating the power of thinking rationally
• ### Solutions to recent puzzles

Looking back at puzzles about complex numbers, tic-tac-toe, and the Eggnog Mystery
• ### Christmas competition #3: ‘An eggnog mystery’

Lies, liquor and logical deduction play their part in this festive holiday tale
• ### Christmas lights, trees and maths

Why do Christmas lights get tangled? And what's the perfect way to decorate a Christmas tree? Find the answers here.
• ### Christmas competition #2: ‘More geometry snacks’

Win this year's best book of geometry puzzles
• ### The first Black Mathematician Month outreach event

Looking back at the exciting day that closed our 2018 celebrations
• ### Christmas competition #1: ‘You can’t polish a nerd’

Win a DVD boxset from Festival of the spoken nerd in our first Christmas competition!
• ### Deal or no deal?

Mike Fletcher explores the optimal strategy for winning the popular television game show
• ### Digging for roots in the complex plane

Bring your shovel, and dig with us to unearth some amazing results about polynomials
• ### Talkdust, episode 1

A podcast for the mathematically curious
• ### Overturned polygons: shapes with less than two sides

Hugh Duncan explores polygons with a shortage of edges
• ### The history of pi

What is pi? How do we define it and who first thought of it? We explore the history of this quintessential mathematical constant.
• ### Mathscon: reshaping the world’s perception of mathematics

Introducing Mathscon, a mathematics conference with a difference!
• ### The maths ‘black box’

John Pougué Biyong explains how and why science communication can lead to better diversity.
• ### Balancing the equation

Reviewing the Royal Institution's first Black History Month event.
• ### How to make: a Möbius Surprise

Surprise yourself by making this thing
• ### Issue 08

Swing on a magnetic pendulum into our autumn 2018 issue. Topological tic-tac-toe, maths, cake, categories, plus all your favourite regulars.
• ### Hilbert’s hotel: the board game

Print it out and play against your friends!
• ### In conversation with Eugenia Cheng

We chat to the author of the best-selling book How to Bake Pi and pioneer of maths on YouTube
• ### Prize crossnumber, Issue 08

Win £100 of Maths Gear goodies by solving our famously fiendish crossnumber
• ### Too good to be Truchet

Colin Beveridge looks at different designs for 2- and 3-dimensional tiles
• ### Topological tic-tac-toe

Alex Bolton plays noughts and crosses on unusual surfaces

• ### Mathematics and art: the ELHP

Adam Atkinson uses maths to try to help a sculptor
• ### Black Mathematician Month

See what we're doing this October to promote and celebrate diversity in mathematics
• ### Which number are you?

Are you perfect or imaginary? Are you a square?
• ### On the cover: Hydrogen orbitals

Find out more about the weird shapes on the cover of Issue 08
• ### Dear Dirichlet, Issue 08

Village fetes, Brexit and flowers are among the topics of discussion in this issue's Dear Dirichlet advice column
• ### What is the point of intersection?

Elizabeth A Williams falls off a log
• ### Top Ten: Units of measurement

The definitive chart of the best units
• ### Roots: Gerolamo Cardano

Emma Bell explains why the Renaissance mathematician Gerolamo Cardano styled himself as the "man of discoveries".

• ### Top ten vote issue 08

Vote for your favourite Chalkdust regular
• ### Page 3 model: Ponytails

Many mysteries about hair are now revealed with the ponytail shape equation
• ### What’s hot and what’s not, issue 08

Fashion is fleeting, Chalkdust regulars are not.
• ### An invitation to category theory

Just what is category theory? Tai-Danae Bradley explains
• ### Significant figures: Katherine Johnson

Biography of Katherine Johnson, NASA human computer and research mathematician
• ### The magnetic pendulum

A tabletop demonstration of chaos.
• ### The mathematics of Black Panther

Nira Chamberlain explains how Black Panther's suit can be modelled mathematically
• ### David Blackwell and me

Clive Fraser reflects on his interactions with one of the greatest ever Black mathematicians
• ### Carnival of Mathematics 162

This month’s round up of mathematical blog posts from all over the internet
• ### Black Mathematician Month 2018

We look back at last year's Black Mathematician Month, and give a preview of what to expect this October.
• ### Eight things you didn’t notice in Issue 07

You'll never believe number 3!

• ### Can you make something out of nothing?

We explore the concept of emptiness in set theory, and explain how zero went from "nothing" to "something"
• ### 2018 Fields medal winners

Introducing the work that has won mathematics' most famous award
• ### Complex numbers and algebra

Exploring the beauty of complex numbers, their origins and why they are important
• ### Folding nets into Johnson solids

How does one produce a net for the broadest class of polyhedra?
• ### My life with mathematical tattoos

... and how Chalkdust played a role in one of them
• ### Crossnumber winners, Issue 07

Did you solve it?
• ### Frawks

Exploring non-random walks using fractions
• ### Closing the Gap

A review of Vicky Neale's new book about the quest to understand prime numbers.
• ### The maths behind a chip goal

We analyse the maths and physics required to execute a good chip shot
• ### Bend it like Newton: curves in football

Discover the mathematical equations that describe the most commonly observed trajectories in football

An unexpected way to beat the odds in this classic game
• ### Integration: It’s more than the sum of its parts

Defining what exactly an integral is leads naturally to an explanation of how to handle approximating them.
• ### Fun phenomena in fluids

A selection of weird goings-on from the world of fluid mechanics
• ### Review of Galois Knot Theory

A thrilling review of this truly enlightening book
• ### Modelling blood

Blood is exceptionally complicated and its composition varies from person to person. So how do we begin to model it?
• ### Maths trumps review

A mathematically-themed version of the classic card game, with several new features
• ### Our favourite (and not-so-favourite) Euler equations

A collection of our favourite and least favourite things named after Euler, from issue 07
• ### The new Chalkdust T-shirt

Have you been wondering what the pattern on it means?
• ### A few of Euler’s masterpieces

Read Euler, read Euler, he is the master of us all." -- Laplace. An invitation to join us in celebrating Euler's 311th birthday by appreciating a few of his great contributions to mathematics.
• ### Let them share cake

Or, how a simple problem can get very complicated, very quickly...
• ### Magic behind the Fibonacci sequence

Let's take a look at patterns that can be discovered in Fibonacci numbers and how we can find them around us.
• ### Issue 07

Think outside outside the box in our spring 2018 issue. No more tennis puns, primes mod 4, plus all your favourite regulars.
• ### Game, set, maths (no more tennis puns)

No more Katie Steckles.
• ### Thinking outside outside the box

Rob Eastaway joins the dots.
• ### Dear Dirichlet, Issue 07

Pigs, popes and produce are among the topics of discussion in this issue's Dear Dirichlet advice column
• ### Prize crossnumber, Issue 07

Win £100 of Maths Gear goodies by solving our famously fiendish crossnumber
• ### Baking a Menger sponge sponge

Sam Hartburn bakes your favourite fractal
• ### e to thee x

Zoe Griffiths on the life of e

High stakes gambling with Paula Rowińska
• ### Comic: The Inverse Homotopy, part 6

Part 6 of our mathematical comic's adventure
• ### Routes: Edsger Dijkstra

In this edition of the series, we instead learn about 'routes' and Edsger Dijkstra's shortest path algorithm.
• ### Counting palindromes

Alex Xela shows us the world of palindromic numbers, and calculates the chances of getting one
• ### On the cover: Chladni figures of a square drum

Find out more about the patterns on the cover of Issue 07
• ### Top Ten: Mathematical celebration days

The definitive chart of the best dates
• ### Significant figures: Sir Christopher Zeeman

Biography of Sir Christopher Zeeman
• ### Conference bingo

Race to be the first to get five-in-a-row
• ### Primes à la Euler

Infinitely many primes ending in 1, 3, 7 and 9 proved in typically Eulerian style.

• ### How to make: a catastrophe machine

Make a catastrophe machine just like Zeeman's
• ### Machine learning 101

Start your quest to conquer the planet with this introduction to the wonderful world of machine learning
• ### Page 3 model: Frictional unemployment

Modelling unemployment using simple differential equations!
• ### Mike Jordan on machine learning

Undoubtedly the most influential voice on this hottest of hot topics.
• ### Domino tiling & domineering

John Dore and Chris Woodcock join the dots
• ### In conversation with Chris Budd

We chat to one of the UK's most qualified voices in mathematics communication
• ### What’s hot and what’s not, issue 07

Fashion is fleeting, Chalkdust regulars are not.
• ### Ten things you didn’t notice in Issue 06

You won't believe number 5!
• ### Sylvester’s convex hull problem in R

What is the probability that d+2 random points in d-dimensional space form a convex body? Investigating an old problem using modern methods.

• ### Power-up review

"Unlocking the hidden mathematics in video games"
• ### Modelling in a heartbeat

Learn how to model your heart one beat at a time ❤️
• ### Math Blaster

Belgin plays a classic mathsy game from her childhood...in 16-bit graphics! Here's her review...
• ### Why knot?

You can un-knot a knot, by cutting it not?
• ### Surname extinction

Why do surnames die out? We take a look at the Galton-Watson process for modelling the extinction of surnames to answer the question: 'When will we all be Smiths?'
• ### Crossnumber winners, Issue 06

Did you solve it?
• ### Well, well, well…

A fiendish puzzle for you to 'pour' over...
• ### The mathematical con artist

Some summations seem strangely slippery...
• ### Maths and music, together in harmony

Uniting the teaching of mathematics and music can benefit pupils greatly in both areas.
• ### Review of the year 2017

What have we been up to this year?
• ### Solution to Christmas conundrum #4

... and the winners
• ### Christmas conundrum #4

Can you solve four puzzles to reveal the hidden message?
• ### Review of The Element in the Room

Reviewing this week's conundrum prize... science-y stuff staring you in the face!
• ### Christmas conundrum #3

Try our nonograms! And remember, not all puzzles have a unique solution...
• ### The science behind Santa Claus

Christmas is coming, and Santa will soon begin his journey. We analyse the science and maths behind his trip.
• ### Christmas conundrum #2

Solve this and you could be the lucky winner of a signed copy of The Indisputable Existence of Santa Claus
• ### Carnival of mathematics 152

We round up some of the last month's top mathematical posts from around the internet
• ### Christmas conundrum #1

Solve this and you could be the lucky winner of a Chalkdust T-shirt
• ### Chalkdust’s Christmas conundrums

As the festive season strikes again, we'll be dishing out more fiendish puzzles – this time with prizes!
• ### Review of The Maths Behind by Colin Beveridge

Should you ask Santa for 'Ice Col' Beveridge's encyclopedic tome this festive period?
• ### MathsJam 2017

Chalkdust descends upon the UK's largest pop maths gathering and tells you what you missed
• ### Beghilos

When you get tired of using your calculator for numbers, why not use it for words?
• ### Dispersion on the dark side of the moon

Maths has strong connections to art and music, but what about to both at the same time?
• ### Closing the first Black Mathematician Month

Reflecting on what we've learnt over the past few weeks.
• ### In conversation with Vernon Morris

The co-author of a recent paper on diversity in professional STEM societies talks about access to science.
• ### In conversation with Talitha Washington

Meet Talitha Washington, an activist, mathematician, and professor
• ### My mathematical trajectory

Stories and lessons on diversity in mathematics from a globe-trotting number theorist.
• ### In conversation with Jonathan Farley

We spoke with Jonathan Farley about his research and experiences as a black mathematician.
• ### In conversation with Tanniemola Liverpool

As part of Black Mathematician Month, we spoke to the Bristol University professor about access schemes and the importance of mentors.
• ### Issue 06

Cardioids in coffee cups, counting with three fingers, and breakfast at Villani's. Plus the return of all your favourite fun pages in our autumn 2017 issue.
• ### Prize crossnumber, Issue 06

Win £100 of Maths Gear goodies by solving our famously fiendish crossnumber
• ### In conversation with Cédric Villani

We feel underdressed for Breakfast at Villani's

• ### Cardioids in coffee cups

Staring at your coffee, you wonder whether the light reflecting in cup really is a cardioid curve...
• ### Mathematics for the three-fingered mathematician

Robert J Low flips one upside down.
• ### Comic: The Inverse Homotopy, part 5

Part 5 of our mathematical comic's adventure
• ### The mathematics of Maryam Mirzakhani

We take a proper look at her mathematical accomplishments
• ### Which mathematical software are you?

"R" you a Matlab or a Python? Fortran or Mathematica? Find out which package suits you best.
• ### Top Ten: Geometry instruments

The definitive chart of the best tools
• ### Biography of Sophie Bryant

A biography of Sophie Bryant
• ### What’s hot and what’s not, Issue 06

Mathematical fashion advice for an ever-changing world
• ### Top ten vote issue 06

Vote for your favourite mathematical celebration day
• ### Geographic profiling

Murder, maths, malaria and mammals
• ### Roots: Blaise Pascal

Blaise Pascal was driven to begin the mechanisation of mathematics by his father's struggles with an accounts book in 17th century France.
• ### On the cover: Euclidean Egg III

Euclidean Egg III makes the cover of issue 06!
• ### Pretty pictures in the complex plane

Contemplate the beauty of the Julia and Mandelbrot sets and an elegant mathematical explanation of them
• ### Page 3 model: Crowd control

Modelling a Saturday afternoon on Oxford Street
• ### How to make: a hyperbolic plane

A great way to waste a lot of paper
• ### Pretend numbers

20 questions, the axiom of choice and colouring sequences.
• ### Four things you didn’t notice in Issue 05

How many did you spot?
• ### The kind of problems black mathematicians wish didn’t need solving

Stories that illustrate the barriers that black mathematicians have faced in recent history.
• ### Why do Afro-Caribbean pupils underachieve in education?

Data scientist Jonny Brooks-Bartlett gives his views as part of Black Mathematician Month.
• ### In conversation with Olubunmi Abidemi Fadipe-Joseph

Meet Olubunmi Abidemi Fadipe-Joseph, an active promoter for women in mathematics from Nigeria
• ### You don’t need permission to be a great mathematician!

Nira Chamberlain, one of the UK's top 100 scientists, shares his experiences as a black mathematician.
• ### Star polynomials

Natalya Silcott introduces us to star polynomials!
• ### In conversation with Nazar Miheisi

Our first interview celebrating Black Mathematician Month
• ### October is Black Mathematician Month

Promoting black mathematicians, and talking about building a more representative mathematical community.
• ### Chalkdust Issue 06 coming 19 October

Free launch party, 7.15pm. Come along!
• ### Between a square rock and a hard pentagon: fractional polygons

A polygon with four and a half sides?!
• ### The mathematics of brewing

While drinking beer in your favourite pub, have you ever wondered how it is produced? Find here some of the science and mathematics behind brewing.
• ### Seeing double

Take a ball, divide it into parts, glue them back and get two identical copies of your ball!
• ### Tupper’s self-referential formula

A hideous equation that hides beautiful images, and much (much) more besides...
• ### Four ways Photoshop encourages thinking mathematically

How processes used in image editing are related to mathematics!
• ### Creating hot ice

We created hot ice from scratch, a solution that remains liquid even below its freezing point!
• ### Going once, going twice… game theory?

A quick look at how to get the most bang for your buck the next time you're in a bidding war
• ### Review: Mathematical T-shirt

A summer essential or an embarrassment risk on the streets of Ibiza?
• ### Winning the Chalkdust coin game

How to win a game when your expected score is 0

Did you win?
• ### How many quadratics factorise?

Write down a quadratic. What is the probability that it factorises? Paging Prof. Dirichet...
• ### Crossnumbers and cross products

A crossnumber clue takes us plunging headfirst towards projective geometry
• ### The mathematics of human migration

Human migration with mathematical models, data and a hands-on experiment!
• ### Cat among the pigeons

Some interesting observations with the pigeonhole principle

• ### Top 10 emoji for use in mathematics

We take a look at the top 10 emojis!
• ### Making your own papercupter

Next time you are finished using a paper cup, create your own papercupter!
• ### What’s your least favourite number?

Read about our least favourite numbers in this collection from issue 5!
• ### Football free-kicks… taken by Newton

Discover the mysteries behind the most spectacular free-kick ever scored and how Newton can help us to simulate it.
• ### Taking the (mathematically) perfect picture at the Leaning Tower Of Pisa

Finding the best picture at the Leaning Tower of Pisa is all about the maths rather than the pose!
• ### The croissant equation

Each time you eat a croissant you might be biting more than 500 layers of dough!
• ### Review of Elastic Numbers

We have a go at the puzzles in Daniel Griller's new book
• ### In conversation with Marcus du Sautoy

We chat to Marcus about science communication, teaching mathematics in schools, and how to make group theory sound sexy.
• ### Thinking outside the box

Negative polygons and other mathematical creations
• ### The pipe singularity

In the Aztec city of Atzlan, the scientist Remotep makes a revolutionary discovery
• ### Superegg

How optimising the space around a circular monument is related to supereggs
• ### Is it better to run or walk in the rain?

When you're caught in the rain without an umbrella... what is your best option?
• ### Why self-service machines give such awful change

Unexpected item in bagging areAAAARGGGHH here's 90p change in pennies
• ### Is it possible to reach absolute zero?

After 100 years, a key postulate of the third law of thermodynamics has been proven. We meet Lluis Masanes, one of the researchers responsible.
• ### Forget a new £1 coin, we need a £1.23 coin

Not the new coin we want, but the new coin we need
• ### Cutting my birthday cake

How to make the most slices from just a few cuts of cake
• ### Issue 05

Graphical linear algebra, slide rules and game theory in nature. Plus all your favourite fun pages in our spring 2017 issue.
• ### In conversation with Bernard Silverman

We chat to the chief scientific advisor to the Home Office about the role of scientists and mathematicians in politics
• ### Linear algebra… with diagrams

Rediscover linear algebra by playing with circuit diagrams
• ### Debugging insect dynamics

Explain the strange dynamics of certain insects using game theory
• ### Variations on Fermat: an agony in four fits

Fermat's Last Theorem with complex powers, wrapped in a story every mathematician can relate to
• ### Slide rules: the early calculators

When slide rules used to rule... find out why they still do
• ### The simplest difficult task

Factorisation is often used in cryptography. But there's something even simpler which turns out to be just as hard.
• ### Origami tesseract

Folding origami, building networks, making projections and multiple dimensions!
• ### Florence Nightingale, statistician

What is the real story behind the lady with the lamp?
• ### Roots: Mary Somerville

Mary Somerville fights against social mores to become one of the leading mathematicians of her time.
• ### Prize crossnumber, Issue 05

Win £100 of Maths Gear goodies by solving our famously fiendish crossnumber
• ### On the cover: dragon curves

Read more about the fire-breathing curves that appear on the cover of issue 05
• ### What’s hot and what’s not, Issue 05

Mathematical fashion advice for an ever-changing world
• ### Dear Dirichlet, Issue 05

Prof. Dirichlet tackles political arguments and werewolves in answering your personal problems
• ### Comic: The Inverse Homotopy, part 4

Part 4 of our mathematical comic's adventure
• ### Puzzles, Issue 05

Solve the puzzles that appeared in Issue 05.

• ### Which mathematical object are you?

Are you feeling ideal? In your prime? Discover your inner mathematical object (plus handy term explainer).
• ### How to make: a slide rule

Make calculations easy with this simple-to-make slide rule
• ### Top Ten: Parts of a circle

The definitive chart of the circle's greatest parts
• ### Top ten vote issue 05

Vote for your favourite geometry instrument
• ### Puzzle Solutions, Issue 05

The answers to the puzzles that appeared in issue 05
• ### Seven things you didn’t notice in Issue 04

How many did you spot?
• ### Chalkdust Issue 05 coming 7 March

Free launch party, 7.15pm. Come along! Free copies of Chalkdust, free pizza, and buy your own Chalkdust T-shirt.
• ### The digital sum of the products of twin primes is 8?

What connects the products of twin primes with something you learnt in primary school and the number 8?
• ### To share, or not to share

A tragic love story of shares and viral songs. To share, or not to share...

• ### Curiouser and curiouser!

Some surprising mathematical facts
• ### Two years of Chalkdust!

Here are some highlights of the first two years of Chalkdust!
• ### Crossnumber winners, issue 04

Are you a winner?
• ### The limit does not exist!

Lindsay Lohan is really good at L'Hôpital's rule.
• ### Is MEDUSA the new BODMAS?

Why the infamous acronym needs revising.
• ### Review: Mathematical socks

Can you wear them and be taken mathematically seriously?
• ### Chalkdust Review of the Year 2016

Before we say 'Goodbye' to 2016 let us highlight a few of the articles on the Chalkdust website.
• ### Advent Calendar: 24 December

It's the last day of the Chalkdust advent calendar, so there must be something very good behind today's door...

Behind today's door... a puzzle!
• ### The Indisputable Existence of Santa Claus – A review

Behind today's door... A book review!

Behind today's door... More fascinating facts!
• ### Christmaths carols II

Behind today's door... Another carol!
• ### Find your perfect partner

Find your perfect partner with this wonderful tree diagram!
• ### Christmas cracker joke III

Behind today's door... A joke!
• ### Dear Dirichlet Christmas special

Behind today's door... A quiz!
• ### The Chalkdust Christmas card

This year's Chalkdust puzzle Christmas card

Santa's sack of scientific surprises
• ### Which mathematician are you?

Behind today's door... a quiz!

Behind today's door... a puzzle!
• ### Christmas cracker joke II

This post was part of the Chalkdust 2016 Advent Calendar. Newton: “Are you going to the Fibonacci themed Christmas party?” Euler: “Yes! I heard it’s going to be as big as the two previous years put together.”
• ### Christmas cracker joke I

Behind today's door... a good joke!
• ### Binary magic card trick

Behind today's door... A binary magic card trick!
• ### Snowflake, the symbol of winter: different sizes, infinite shapes

Winter is coming!
• ### What should you get a mathematician for Christmas?

Behind today's door... The Chalkdust guide to Christmas presents

Behind today's door... a puzzle!
• ### Five gold rings

And on the fifth day, some rather Algebraic Golden Rings:
• ### Christmaths carols I

Behind today's door... a mathematical Christmas Carol

Santa's sack of scientific surprises

Behind the second door of the advent calendar, there is a puzzle
• ### The n days of Christmas

Get into the ChristMATHS spirit with the maths behind the popular Christmas carol!
• ### Catching criminals with maths

How crime science, and the maths it uses, is helping the police fight crime
• ### What’s your favourite set?

Here we have collected our favourite sets, from the Mandelbrot set to the Mahut-Isner set!
• ### Visualising mathematics with 3D printing

Using modern technology to understand geometry
• ### Feeling the love for Chalkdust T-shirts

The algebra will set your heart aflutter.
• ### The spider witch project

Constructing a spiderweb: in the spookiest and most horrific way possible!
• ### Hooke’s Monument

The Great Fire of London, a little-known polymath and a Monument...
• ### Killing by numbers: the mathematics of warfare

A blast from the past. Modelling battle grounds from ancient Greece.
• ### Top ten vote issue 04

Vote for your favourite part of a circle
• ### Issue 04

Problem solving 101, proof by storytelling, plus the return of all your favourite fun pages in our autumn 2016 edition.
• ### Problem solving 101

Never be stumped by a maths problem again, with this crash course from the ever-competent Stephen Muirhead

• ### Comic: The Inverse Homotopy, part 3

Part 3 of our mathematical comic's adventure
• ### Hedy Lamarr: Hollywood star and secret inventor

James Grime gets intimate with 'the most beautiful woman in the world' from the golden age of Hollywood
• ### The doodle theorem, and beyond…

Colin Wright juggles Euler, doodling and Millennium problems
• ### What’s hot and what’s not, Issue 04

Don't be left behind... more mathematical fashion advice
• ### Prime jewellery

Make your own treasures, guaranteed to be priceless on a future episode of Antiques Roadshow
• ### Solve our crossnumber

Win £100 of maths goodies in our fiendish crossnumber
• ### Puzzles, Issue 04

Solve the puzzles that appeared in Issue 04.
• ### Roots: Pythagoras of Samos

Pythagoras gave us so much more than a² + b² = c²
• ### Mathematics: queen of the arts?

Exploring the connection between maths and art.
• ### How to make: mathematical crochet

How to make mathematical crochet
• ### Top Ten: Colours of chalk

The definitive chart of chalk's greatest colours
• ### Page 3 model: Hallucinations

The geometry of psychedelic hallucinations
• ### Prize crossnumber, Issue 04

Can you solve it?
• ### Puzzle Solutions, Issue 04

Warning: Contains SPOILERS!
• ### Proof by storytelling

Sit in your favourite chair and do away with those tedious algebraic proofs

• ### The Buckingham π theorem and the atomic bomb

Diego Carranza tells you to stop worrying and dimensionally analyse the bomb
• ### In conversation with Andrea Bertozzi

We chat to Andrea about crime, maths and her fluid career
• ### Issue 04 launch quiz

Tuesday 11 October, 7.15pm. Come along! Featuring hundreds of free copies of Chalkdust, free pizza, and the chance to purchase a Chalkdust T-shirt.
• ### Man vs Maths

A review of Timothy Revell's new book, describing the hidden mathematics behind our world
• ### Why maps are wrong

If only the Earth were flat...
• ### The evolutionary arms race

Applying game theory to evolution
• ### Hairy balls, cyclones and computer graphics

What can a 100-year-old result in topology say about weather and computers?
• ### Donald in Mathmagic Land

Donald Duck learns that there is “a lot more to mathematics than two-times-two”.
• ### Maths at EMF camp

Exploring the maths on offer at this year's UK hacker festival.
• ### Why I hate an empty bus stop

How the queue size tells you when the next bus is coming
• ### Mathematicians and their Gods

Believe it or not: Mathematics and Theology can coexist
• ### Crossnumber winners, issue 03

Are you a winner?
• ### Switching sides in a matrix equation

Looking for a neat description of this useful matrix part-inverse

Were you a Choco Leibniz or a Fig Newton?

Can you solve these puzzles about differentiation and integration?
• ### Changing the status quo

Difficulties in designing a voting system for referenda
• ### Tennis maths: how long should a deuce point last?

Using Markov chains to calculate some interesting tennis stats!
• ### Constructing a sphere with 455 cups

Paper cups do not follow a hexagonal pattern and the cones do not meet at a single point, but they do make a gigantic sphere
• ### Mini crossnumber

All the fun of our prize crossnumber, just smaller and without a prize
• ### The Housekeeper and the Professor

Memory and maths in the modern world
• ### Stopping distances in the Highway Code are wrong

An easy equation to remember for your driving theory test, with dangerous consequences
• ### A brief history of gravitational waves

The discovery of gravitational waves offers a new way of looking at the universe. Who knows what we will discover?
• ### How many cups does it take to make a sphere?

The Chalkdust team set you a challenge, for which the prize is a £25 Amazon voucher...
• ### Names for large numbers

Extending the million, billion, trillion system to much, much bigger numbers
• ### Cracking the Guess Who? board game

Maths and Decision Theory to be the best at playing Guess Who?
• ### The mathematics of tea-making

When-to-add-milk confusion and other related matters
• ### Hunting for polydivisibles

The search for polydivisible numbers in different bases: how many can you find?
• ### Carnival of Mathematics 133

This month's round up of mathematical blog posts.
• ### Are we getting tired of Twitter?

Here is the reason why the golden era of Twitter is gone
• ### The wonders of mathematical crochet

Hyperbolic surfaces, Klein bottles and more

• ### Issue 03 launch quiz answers

How many did you get right?
• ### Issue 03 launch quiz

How many points could you have scored at our launch quiz?
• ### Puzzle Solutions, Issue 03

Warning: Contains SPOILERS!
• ### How to make: a hexaflexagon

Make an amazing three faced hexagon
• ### Analogue computing: fun with differential equations

Solving differential equations instantaneously, using some electrical components and an oscilloscope
• ### Top Ten vote: Colours of chalk

Vote for your favourite colour of chalk for Issue 04: is it white, yellow, or the Post Office Tower?
• ### Roots: the legacy of Fibonacci

More than spirals and rabbits, Fibonacci gave us something much more fundamental.
• ### The Mathematical Games of Martin Gardner

The great contributions of the man who started popular mathematics
• ### What’s hot and what’s not, Issue 03

Maths is a fickle world. Stay à la mode with our guide to the latest trends.
• ### Puzzles, Issue 03

Solve the puzzles that appeared in Issue 03.
• ### Flexagon Templates

Print out and make a flexagon
• ### Page 3 model: Traffic flow

Ever been stuck in motorway traffic which seems to have no reason? A model for traffic flow explains why.
• ### Dear Dirichlet, Issue 03

Prof. Dirichlet tackles deaf colleagues and cold badgers.
• ### Prize crossnumber, Issue 03

Be in for a chance to win a £100 goody bag if you can solve our fiendish crossnumber
• ### Spherical Dendrite by Mark J Stock

The story behind Issue 3's cover artwork
• ### You can count on Dirichlet

Counting the divisors of an integer turns out to be a rather hard problem
• ### Horoscope, Issue 03

Find out what the future holds for you... or maybe just a box of scorpions.
• ### A mathematical view of voting systems

Why voting systems can never be fair
• ### Comic: The Inverse Homotopy, part 2

Part 2 of our mathematical comic's adventure
• ### Top Ten: Calculators

Are you a FX-82 or an FX-85 fan?
• ### Menace: the Machine Educable Noughts And Crosses Engine

Teaching a bunch of matchboxes how to play tic-tac-toe
• ### Fractional calculus: the calculus of witchcraft and wizardry

How can we differentiate a function 9¾ times?
• ### In conversation with Ian Stewart

We speak to one of Britain's most successful popularisers of maths
• ### Issue 03

Fractional calculus, counting divisors, whether voting can ever be fair and much more
• ### Fun with water bells

Explaining how surface tension makes water form surprising shapes
• ### Chalkdust Issue 3 coming soon! 14/03/16

Your first peek at our Spring issue

• ### Finding the edge of your images

How can we identify objects in photos, to diagnose cancer or predict the weather? Using gradients!
• ### The analytics of healthcare

Simple Statistics can help businesses make informed decisions
• ### How to tile a chessboard

Introducing polyominoes
• ### New largest prime number discovered!

Amaze your friends with our top facts about the new largest known prime number
• ### The Drake equation

Is there life on Mars? Or anywhere else?
• ### Victorian maths tricks with old money

Exploring mental arithmetic tricks in T. Martin's 1842 guide, 'Pounds, shillings and pence'
• ### Chalkdust review of the year 2015

Have you read the best of the blog?
• ### Christmas puzzles

Something for you to solve during the post-Christmas lull

• ### Crossnumber winners

Are you a winner?
• ### How to make: Christmas Special

Making gingerbread Platonic solids, Fröbel stars and Christmas flexagons
• ### What’s your favourite function? Part II

We have received loads of feedback from people telling us their favourite function
• ### 100 years with the Sierpinski triangle

Three ways to obtain and generalise a beautiful fractal
• ### Weekend at MathsJam

Chalkdust visits popular maths' biggest conference
• ### Klaus Roth

(1925 - 2015)

• ### Puzzle Solutions, Issue 02

These solutions relate to puzzles found in Issue 02 of the magazine.
• ### Our Favourite Functions: Part I

Because we love functions!
• ### How to kick a conversion

Where should you choose to take a conversion kick from?
• ### Somewhere over the rainbow

Some mathematical questions you might have wondered every time you look at one of those rainbows
• ### Issue 02

The joy of Jacobians, the perils of p-values, and a chat in the pub with Fields medallist Artur Avila
• ### How much will I win on the new National Lottery?

What difference will an extra 10 balls make?
• ### Things to make

Platonic shapes from tube maps, flexagons, and more mathematical craft

• ### Top Ten: Mathematical symbols

It's time to reveal the Top Ten Symbols in Algebra!
• ### John Forbes Nash: the legacy

Exploring the legacy of John Nash (1928 – 2015)
• ### What’s hot and what’s not, Issue 02

We tell you what's popular in the world of maths, so you can get ahead of the curve!
• ### Comic: The Inverse Homotopy, part 1

Continue the journey of the Inverse Homotopy...
• ### Page 3 model: The Duckworth–Lewis method

Meet the Duckworth-Lewis method, 23, from Lancashire
• ### Fermat Point by Suman Vaze

The maths behind Issue 02's cover
• ### In conversation with Artur Avila

Chatting with a Fields Medallist in a Leicester Square pub
• ### £100 Prize Crossnumber, Issue 02

Win £100 in our famous original crossnumber
• ### Puzzles, Issue 02

These puzzles appeared in Issue 02 of the magazine.
• ### The joys of the Jacobian

Robert Smith? tells us how his favourite matrix saves lives