The boys return to think about the structure of a quiz show round, they learn how to queue effectively and they investigate the best tunings for guitars. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Only Connect Loops Adding a Teller Alternative Tunings Show Notes Queuing Blog Cabbage Tuning Under the Bridge Tuning David's Kingdom Heart Video Series Credits Hosted By Alaric -...

The boys are in the same room, and they have a guest! They talk about an awful tennis tournament mixup, a teeny tiny card game and the primest day of the year. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Quantum Go Fish Amateur-Professional Tennis Tournament Problem Prime Day Show Notes Some divisbility criteria The Trachtenburg System Credits Hosted By Alaric - http://alaricstephen.com Alex -...

The boys sit down with an infinite box of resistors, worry just how diverse their business is and think through the perculiar physics of balloons. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Resistor Mathematics How to Measure Diversity Balloon in a Car Show Notes The XKCD Resistor Problem we Mention An article I wrote which uses Δ-Y transformations for calculating resistance The Diversity Formula An...

Here's something a little different. Over at Aperiodical they are running the Big Internet Math Off 2019, where 16 mathematicians present pitches to compete in a tournament. We were very pleased to be nominated to take part. For this round we thought we'd do what we do best, albeit in smaller, snack sized portion. We are up against Grant Sanderson of 3Blue1Brown which is a channel that we both love. You can find both of our pitches here, where if you like what you hear we would very much...

The boys are back for season two! They try ramping Pascal's Triangle up a couple of dimensions, consider the physics of how we control volume and attempt to help out someone with a fishy problem. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Pascal's Pyramid Sound Quality Fish Tank Siphoning Show Notes Cuboctohedron Stacking Sphere Packing Systems Colouring in Pascal's Triangle in mod 3, 4 and 5 Sierpinski's...

The boys help organise a rugby training scheme, set robots upon an infinite hotel and discover some lovely patterns in the probability of Snakes and Ladders. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Rugby Training Problem Busy Beavers Gamble Shambles Show Notes Articles written by Alaric on Langton's: Loops (Introduction) Loops (Evolving) Ant Busy Beaver on Wikipedia Noether's Theorem The Music...

The boys partake unto an unwavering curiousity as to who is friends with whom. Infinite-dimensional animals are discussed, and they ponder the potentially undue rewards of chess pros. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Ramsey's Theorem Scaling Sports and Games Rating Show Notes Scale by Geoffrey West Goblin Game Spreadsheet Credits Hosted By Alaric - http://alaricstephen.com Alex -...

The boys find themselves on the wrong side of the mathematical orthodoxy, rejecting the concepts of distance and angles, before immediately forgetting about that and using distances and angles to solve a problem. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Rational Geometry Goblin Game Car Pool Problem Show Notes Introduction to Rational Geometry Overview by Norman Wildberger The Video in his Lecture...

Here's a copy of the puzzle that Alaric wrote for the conference: Chyptic Chossword The boys play games, join a secret circle and put up the Christmas lights :) Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Wythoff's Game A Christmas Cipher Zig Zag Lights Show Notes Wythoff's Game on Wikipedia A good blog article about Wythoff's Game and the Golden Ratio Little Orphan Annie Scene Little Orphan Annie image...

The boys celebrate a year of the podcast, try to get a hold on some of the weirder polygonal numbers and debrief after big maths jam. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Trapezium Numbers Shamir's Shared Secrets Vampire and Werewolf Lies Show Notes Catriona Shearer's Geometry Puzzles on Twitter Mathigon's Tweet about Trapezium Numbers An Article on Properties of Trapezium Numbers Alaric's Lock...

The boys get to the bottem of a neat pattern that suddenly breaks, contort their limbs into strange shapes in the name of Plato and attempt a very satisfying problem involving some spiders and an ant. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Factorial Terminating Digits Making Polyhedra with your Limbs Spiders and an Ant Pursuit Puzzle Show Notes Nice PDF of the Solution to the Partitions Problem by...

The boys get as spooky as they can with cellular automata, have a maths conversation about maths conversations and can't get past the fact that Brunnian and Borromean sound too similar. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Zombies and Vampires The Maths of Conversations Brunnian Pumpkin Carving Show Notes Follow Up Maths Jam Annual Gathering Page The Shade (Alex's New Podcast) Maths From the...

The boys settle a dicussion about a bike that Alaric has been aching to talk about for a fortnight, Alex finally brings up music and then they both dive down the Gödel rabbit hole with some puzzles. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Bike Pedals Time Signatures Taking an Offer Puzzles Show Notes Follow Up Visualisation of the Codepad Solution from Tom Verduyn Maths Jam Annual Gathering Page The...

The boys design algorithms to generate puzzles on graphs, spiral out into some polar coordinate calculus and gallop their way through some juggling notation. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Untangling Planar Graphs The Length of Spirals Juggling and Horse Gaits Show Notes A Picture of Untangle The Criteria for Planarity The Two Spirals in Desmos (a graphing calculator) Arc Length in Polar Form...

The boys delve into some stats and game theory problems, ending with a classic from Conway. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Dominion Probabilities The Cheapest Beer in Prague The Angel Problem Show Notes Dominion Probabilities Article The Generalised Coupon Collecting Formula in [Wolfram Alpha](www.wolframalpha.com) Type this into input: sum from j=0 to 25 of ((-1)j(25 choose j)(((25-j) choose...

The boys move seemlessly between high philosophy and pirate jokes in this eclectic episode. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Keypad Code Guessing Platonism vs Formalism Pirate Plunder Puzzle Show Notes Pirate Plunder Puzzle Prisoners in Rainbow Hats Z-Order Curves Credits Hosted By Alaric - http://alaricstephen.com Alex - http://twitter.com/speakmouthwords Editing by Alex Dreams of being a...

The boys try their hands at problems provided by the listeners in today's special episode. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Prisoners in Hats Kaprekar's Constant Generalised Egg Dropping Show Notes Prisoners in Rainbow Hats Islander Paradox Kaprekar's Constant General Egg Problem Solution Credits Hosted By Alaric - http://alaricstephen.com Alex - http://twitter.com/speakmouthwords Editing...

The boys both have problems which involve complicating the process of adding. Also snakes. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed FRACTRAN Negative Bases Polycube Snakes Show Notes FRACTRAN Adding in Negative Bases Quarter-Imaginary Base Article on Polycube Snakes Credits Hosted By Alaric - http://alaricstephen.com Alex - http://twitter.com/speakmouthwords Editing by Alex Knuth Pronunciation by...

The boys both choose to take a medley of problems on the same theme, then solve a puzzle ridiculously quickly. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Moving Sofa Problem Zero Knowledge Grab Bag The Fuse Problem Show Notes Moving Sofa Problem Kakeya's Needle Moser's Worm Two Fuses Problem Credits Hosted By Alaric - http://alaricstephen.com Alex - http://twitter.com/speakmouthwords Editing by...

The boys go on serious diversions. Alex fails to use a computer properly. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Digital Mastermind Cheers p2 - 1 mod 24 Show Notes Grover's Algorithm Credits Hosted By Alaric - http://alaricstephen.com Alex - http://twitter.com/speakmouthwords Editing by Alex Puzzlemancy by Alaric Theme music by David Russell - https://youtube.com/DavidRussell323

The boys pretend to be from the holy roman empire and tell a story about a snake Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Nomic Byzantine Generals Problem Jealous Husbands River Crossing Show Notes Nomic Starting Rules Document Byzantine Generals PDF Missionary and Cannibal Style Problems Wikipedia Page Interesting jstor Article about the Jealous Husbands Problem A beautiful visualisation of the Plane...

The boys shout about Texans and prove they've solved something but they won't tell you how. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Email Bidding Game Zero Knowledge Sudoku Duck Pond Probabilities Show Notes Email Bidding Game Duck Pond Problem with pictures The Hardest Problem on The Hardest Test by 3Blue1Brown Credits Hosted By Alaric - http://alaricstephen.com Alex -...

The boys record another face-to-face special with a puzzle heavy focus. They also work through several problems of the carrying resources genre. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Lewis Carroll's Dwarven Puzzle Blood Alcohol Level Modelling The Petrol Station Problem Show Notes Lewis Carroll Dwarven Problem Camel Crossing Problem Planes Around the World Problem Credits Hosted By Alaric -...

The boys have been playing computer games and have each found maths in the machine. Odds and Evenings Twitter - https://twitter.com/OddsAndEvenings Website - http://www.oddsandevenings.com Topics discussed Minecraft Grid Numbers Stack Thirding Plane Seat Puzzle Show Notes A Good Analysis of the Actual Maths of the Plane Seat Problem Images of Our Various 1-ln2 Proofs On Twitter Thomas Veness' Solutions to the Scrabble Permutations: ['ait', 'tai', 'ita'] ['ary', 'yar', 'rya'] ['ash',...