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Odds and Evenings
Odds and Evenings episodes
- #23 - Ants, Arcs and Awkward Patterns
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.
Odds and EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Factorial Terminating Digits
- Making Polyhedra with your Limbs
- Spiders and an Ant Pursuit Puzzle
Show NotesNice PDF of the Solution to the Partitions Problem by André Malraux
Alaric's Puzzle from the ConferencePlatonic Solids to Stare at during Sections 2 and 3 of the ShowCreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Fervent attempts to keep on top of responding to emails for the show by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
56 min - #22 - Pandemics, Padovan’s and Pumpkins
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 EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Zombies and Vampires
- The Maths of Conversations
- Brunnian Pumpkin Carving
Show NotesFollow UpMaths Jam Annual Gathering Page
The Shade (Alex's New Podcast)Maths From the ShowSIR Model Introduction by Alaric
SIR Model You Can Play WithBorromean RingsBrunnian Links (more generalised)Pochhammer's CountourA Classic Video on Brunnian Links (in the form of snakes), by Vi HartCreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Following of the brief: bring halloween problems by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
1 hr 6 min - #21 - Torque, Truth and Time Signatures
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 EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Bike Pedals
- Time Signatures
- Taking an Offer Puzzles
Show NotesFollow UpVisualisation of the Codepad Solution from Tom Verduyn
Maths Jam Annual Gathering PageThe Shade (Alex's New Podcast)Maths From the ShowVisuals of the Two Cycloids Mentioned: Prolate and Curtate
Video of the Bike MovingUnusual Time SignaturesForever 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)CreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Incomplete knowledge of incompleteness theorems by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
1 hr 13 min - #20 - Tangles, Twists and Trots
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 EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Untangling Planar Graphs
- The Length of Spirals
- Juggling and Horse Gaits
Show NotesA Picture of Untangle
The Criteria for PlanarityThe Two Spirals in Desmos (a graphing calculator)Arc Length in Polar Form DerivationJakob Bernoulli's GravestoneHorse Gaits on WikipediaNegative Juggling SimulatorCreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Rather fitting spiral anecdote by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
1 hr 2 min - #19 - Probability, Pubs and Power
The boys delve into some stats and game theory problems, ending with a classic from Conway.
Odds and EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Dominion Probabilities
- The Cheapest Beer in Prague
- The Angel Problem
Show NotesDominion 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 ProblemThe Angel Problem (by Alaric)James Grime's Video on the Codepad ProblemCreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Back to school vocals by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
55 min - #18 - Pads, Plato and Pirates
The boys move seemlessly between high philosophy and pirate jokes in this eclectic episode.
Odds and EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Keypad Code Guessing
- Platonism vs Formalism
- Pirate Plunder Puzzle
Show NotesPirate Plunder Puzzle
Prisoners in Rainbow HatsZ-Order CurvesCreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Dreams of being a philosopher pirate by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
58 min - #17 - Caps, Cracks and Kaprekar's Constants
The boys try their hands at problems provided by the listeners in today's special episode.
Odds and EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Prisoners in Hats
- Kaprekar's Constant
- Generalised Egg Dropping
Show NotesPrisoners in Rainbow Hats
Islander ParadoxKaprekar's ConstantGeneral Egg Problem SolutionCreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Too many Hat Problem anecdotes by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
57 min - #16 - Algorithms, Adding and Adders
The boys both have problems which involve complicating the process of adding. Also snakes.
Odds and EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- FRACTRAN
- Negative Bases
- Polycube Snakes
Show NotesFRACTRAN
Adding in Negative BasesQuarter-Imaginary BaseFascinating Turing Complete Magic the GatheringArticle on Polycube SnakesCreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Knuth Pronunciation by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
52 min - #15 - Sofas, Secrets and Sizzling String
The boys both choose to take a medley of problems on the same theme, then solve a puzzle ridiculously quickly.
Odds and EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Moving Sofa Problem
- Zero Knowledge Grab Bag
- The Fuse Problem
Show NotesMoving Sofa Problem
Kakeya's NeedleMoser's WormTwo Fuses ProblemCreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
All the right answers, but not the right right answers by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
49 min - #14 - Guesses, Geometry and Grover's Algorithm
The boys go on serious diversions. Alex fails to use a computer properly.
Odds and EveningsTwitter - https://twitter.com/OddsAndEvenings
Website - http://www.oddsandevenings.comTopics discussed- Digital Mastermind
- Cheers
- p2 - 1 mod 24
Show NotesGrover's Algorithm
CreditsHosted By
Alaric - http://alaricstephen.comAlex - http://twitter.com/speakmouthwordsEditing by Alex
Puzzlemancy by AlaricTheme music by David Russell - https://youtube.com/DavidRussell323
46 min
About Odds and Evenings
From the publisher's feed
Playing around with maths and puzzles was something that the two hosts spent their time at university doing together. Now in their late twenties with proper grown up jobs, Alaric and Alex carve out…
the occasional evening to sit back and smell the numbers. Not all of the mathematics is entry level, but they envisioned this podcast for those people whose science degrees may be long behind them, but who still get a kick out of recreational numbering. If this is your first time listening, episode 4 (http://www.oddsandevenings.com/4) is a good representation of the show as a whole and can be used as a jumping on point. All episodes can be played in browser here (http://www.oddsandevenings.com/episodes) or you can subscribe on all major podcast apps (http://www.oddsandevenings.com/subscribe).