mscroggs.co.uk
mscroggs.co.uk
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.
Click here to win prizes by solving the mscroggs.co.uk puzzle Advent calendar.

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Welcome to mscroggs.co.uk

This year's puzzle Christmas cards are currently on sale at mscroggs.co.uk/cards.
The next door (door 12) will open in approximately 5 hours and 8 minutes.
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It's nearly Christmas and something terrible has happened: there's been a major malfunction in multiple machines in Santa's toy factory, and not enough presents have been made. Santa has a backup warehouse full of wrapped presents that can be used in the case of severe emergency, but the warehouse is locked. You need to help Santa work out the code to unlock the warehouse so that he can deliver the presents before Christmas is ruined for everyone.
The information needed to work out the code to the warehouse is known by Santa and his three most trusted elves: Santa is remembering a three-digit number, and each elf is remembering a one-digit and a three-digit number. If Santa and the elves all agree that the emergency warehouse should be opened, they can work out the code for the door as follows:
But this year, there is a complication: the three elves are on a diplomatic mission to Mars to visit Martian Santa and cannot be contacted, so you need to piece together their numbers from the clues they have left behind.
Behind each day (except Christmas Day), there is a puzzle with a three-digit answer. Each of these answers forms part of a clue about Santa's and the elves' numbers. You must use these clues to work out the code for the warehouse. You can use this page to try opening the door. If you enter an incorrect code three times, the door mechanism locks until the following day.
Ten randomly selected people who solve all the puzzles, open the warehouse, and fill in the entry form behind the door on the 25th will win prizes!
The prizes will include an mscroggs.co.uk Advent 2024 T-shirt. If you'd like one of the T-shirts from a previous Advent, they are available to order at merch.mscroggs.co.uk.
The winners will be randomly chosen from all those who submit the entry form before the end of 2024. Each day's puzzle (and the entry form on Christmas Day) will be available from 5:00am GMT. But as the winners will be selected randomly, there's no need to get up at 5am on Christmas Day to enter!
You can find more information about this competition in this blog post. If you'd like to chat with other solvers, we'll be discussing the Advent Calendar in the #scroggs-advent-calendar channel in the Finite Group Discord: you can join the Discord by following the link in this post on Patreon (you'll need to become a free member on Patreon to unlock the post).
On this website, you can find my blog and a collection of puzzles. You can also find details of my academic work and information about pop maths and outreach talks that I give. You can use this handy tool to help you decide what to do first.
 Blog 
Recent blogs (click to read).
My most recent blog post is Christmas card 2024. Other highlights of the blog include:
If you're not sure where to start, you could try reading a random article or taking a suggestion from this handy tool.

 Puzzles 
Recent puzzles (click to read).
New puzzles are posted on many Sundays, with answers posted on Monday. The most recent collection is Advent calendar 2023.
Some of my favourite puzzles are:
Every December, I post an Advent calendar full of puzzles. You can view the puzzles from the 2023 calendar here. You can view this year's Advent calendar by scrolling up.
Again, a random puzzle or a suggestion from this handy tool could be good places to start.

 Who am I? 
My face.
I am Matthew Scroggs. I like maths.
I am currently a Postdoctoral Research Fellow at University College London. My academic work includes work on finite element methods and boundary element methods, including development of the open source libraries Bempp and FEniCSx. You can find more about my work on the academic page.
I help to organise King's Lynn MathsJam (monthly), MathsJam Gathering (yearly), and Electromagnetic Field (every two years). I write the crossnumber (as Humbug), puzzles, and articles for Chalkdust Magazine. I help to run Clopen Mic Night and 24 Hour Maths, and am a generator of Finite Group. For more non-work related articles and talks, see the talks page.
If you would like to reuse any of my content, please get in touch.
If you want to support this website's (and my) continued existence, you can:

Some numbers

 I have written 113 blog posts.
 I have posted 389 puzzles.
 I have published 12 papers.
 I have 120 public repositories on GitHub.
 I have contributed 20 sequences to the OEIS.
 I have written 2 LaTeΧ packages.
 I have designed 2 calendars.
 I have 246 reputation on Math Stack Exchange.
 I have solved 122 problems on Project Euler.
 I have run 117 parkruns.
 I have run 16 half marathons, and 1 marathon.
 My Erdős number is 5.
 My Bacon number is ∞.
 My Sabbath number is ∞.
 My Erdős–Bacon number is ∞.
 My Erdős–Bacon–Sabbath number is ∞.

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© Matthew Scroggs 2012–2024