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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Queuing Blog
Cabbage Tuning
Under the Bridge Tuning
David's Kingdom Heart Video Series
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Infeasible App Ideas by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Some divisbility criteria
The Trachtenburg System
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Guest
Matthew - http://mscroggs.co.uk/
Editing by Alex
Invisible playing cards supplied by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
Special Guest: Matthew Scroggs.
The boys sit down with an infinite box of resistors, worry just how diverse their business is and think through the peculiar physics of balloons.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
The XKCD Resistor Problem we Mention
An article I wrote which uses Δ-Y transformations for calculating resistance
The Diversity Formula
An article I wrote about Simpson's Paradox
The Sprinkler Problem
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Fish schematics by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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 appreciate your support by voting for Alaric.
Most importantly, here is the file that my student Ed Ceney created so you can try to come up with the best strategy yourself.
The paper outlining the original experiment can be found here.
Normal episodes will resume shortly.
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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Cuboctohedron Stacking
Sphere Packing Systems
Colouring in Pascal's Triangle in mod 3, 4 and 5
Sierpinski's Pyramid
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Quasi-analytic classes with respect to logarithmically convex sequences by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Articles written by Alaric on Langton's:
Busy Beaver on Wikipedia
Noether's Theorem
The Music Episode
Maths Jam (that you should totally be attending)
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Appreciation of the phrase Busy Beavers by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Scale by Geoffrey West
Goblin Game Spreadsheet
Quantum Computing Video
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
The actual good questions by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Introduction to Rational Geometry Overview by Norman Wildberger
The Video in his Lecture Sequence which covers some of the topics we discussed on our show
The 5 Laws of Rational Geometry
Goblin Game
New Prime Discovered
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Calls for radical overthrowing of the establishment by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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 :)
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
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 album
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Invention of Christmas (the concept thereof) by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Catriona Shearer's Geometry Puzzles on Twitter
Mathigon's Tweet about Trapezium Numbers
An Article on Properties of Trapezium Numbers
Alaric's Lock Gates Article
A Good Quality Shamir's Shared Secrets Article
The Vampire and Werewolf MAT Question
The Answers to the MAT Question
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Silver Service at the Vampire-Werewolf Symposium by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
The boys get to the bottom 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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Nice PDF of the Solution to the Partitions Problem by André Malraux
Alaric's Puzzle from the Conference
Platonic Solids to Stare at during Sections 2 and 3 of the Show
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Fervent attempts to keep on top of responding to emails for the show by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Maths Jam Annual Gathering Page
The Shade (Alex's New Podcast)
SIR Model Introduction by Alaric
SIR Model You Can Play With
Borromean Rings
Brunnian Links (more generalised)
Pochhammer's Countour
A Classic Video on Brunnian Links (in the form of snakes), by Vi Hart
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Following of the brief: bring halloween problems by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
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.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Visualisation of the Codepad Solution from Tom Verduyn
Maths Jam Annual Gathering Page
The Shade (Alex's New Podcast)
Visuals of the Two Cycloids Mentioned: Prolate and Curtate
Video of the Bike Moving
Unusual Time Signatures
Forever Undecided: A Puzzle Guide to Gödel The book I talk about in the third part of the show. It's great.
The Gödel Sentence on Wikipedia (Related to the puzzle)
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Incomplete knowledge of incompleteness theorems by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
The boys design algorithms to generate puzzles on graphs, spiral out into some polar coordinate calculus and gallop their way through some juggling notation.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
A Picture of Untangle
The Criteria for Planarity
The Two Spirals in Desmos (a graphing calculator)
Arc Length in Polar Form Derivation
Jakob Bernoulli's Gravestone
Horse Gaits on Wikipedia
Negative Juggling Simulator
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Rather fitting spiral anecdote by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
The boys delve into some stats and game theory problems, ending with a classic from Conway.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
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 10)/(25 choose 10))8)
(I couldn't directly link because the % signs in the URL were messing up our site linking. Apologies for the mess.
The Secretary Problem
The Angel Problem (by Alaric)
James Grime's Video on the Codepad Problem
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Back to school vocals by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
The boys move seemlessly between high philosophy and pirate jokes in this eclectic episode.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Pirate Plunder Puzzle
Prisoners in Rainbow Hats
Z-Order Curves
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Dreams of being a philosopher pirate by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
The boys try their hands at problems provided by the listeners in today's special episode.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Prisoners in Rainbow Hats
Islander Paradox
Kaprekar's Constant
General Egg Problem Solution
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Too many Hat Problem anecdotes by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
The boys both have problems which involve complicating the process of adding. Also snakes.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
FRACTRAN
Adding in Negative Bases
Quarter-Imaginary Base
Fascinating Turing Complete Magic the Gathering
Article on Polycube Snakes
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
Knuth Pronunciation by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
The boys both choose to take a medley of problems on the same theme, then solve a puzzle ridiculously quickly.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
Moving Sofa Problem
Kakeya's Needle
Moser's Worm
Two Fuses Problem
Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords
Editing by Alex
All the right answers, but not the right right answers by Alaric
Theme music by David Russell - https://youtube.com/DavidRussell323
The boys go on serious diversions. Alex fails to use a computer properly.
Twitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.com
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
