web02.fireside.fm Sun, 07 Jun 2026 15:28:39 -0500 Fireside (https://fireside.fm) Odds and Evenings - Episodes Tagged with “Number Theory” https://www.oddsandevenings.com/tags/number%20theory Mon, 10 Jun 2019 01:00:00 +0100 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 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 or you can subscribe on all major podcast apps. en-gb episodic A podcast about mathematics, puzzles, numbers and games Odds and Evenings 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 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 or you can subscribe on all major podcast apps. no Maths, Math, Mathematics, Podcast, Puzzles, Game Theory, Science, Physics, Numbers, Games Odds and Evenings oddsevenings@gmail.com #29 - Pyramids, Pitches and Pumps https://www.oddsandevenings.com/29 a6a7b2d5-28ed-4622-b0c2-610c4c377150 Mon, 10 Jun 2019 01:00:00 +0100 Odds and Evenings full Odds and Evenings Topics Discussed: - Pascal's Pyramid - Sound Quality - Fish Tank Siphoning 1:07:34 no <p>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.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Pascal's Pyramid</li> <li>Sound Quality</li> <li>Fish Tank Siphoning</li> </ul> <h3>Show Notes</h3> <p><a href="https://robertlovespi.net/2014/03/25/a-space-filling-pair-of-polyhedra-the-cuboctahedron-and-the-octahedron/" target="_blank" rel="nofollow noopener">Cuboctohedron Stacking</a><br> <a href="https://en.wikipedia.org/wiki/Close-packing_of_equal_spheres?fbclid=IwAR3pUsuDc8I0u-EK8WOeh0C5KgRdgH7XWd1_QoDRx3qTssLVqd9AQI7UPDA" target="_blank" rel="nofollow noopener">Sphere Packing Systems</a><br> <a href="https://www.maa.org/press/periodicals/loci/joma/patterns-in-pascals-triangle-with-a-twist-first-twist-what-is-it" target="_blank" rel="nofollow noopener">Colouring in Pascal's Triangle in mod 3, 4 and 5</a><br> <a href="https://www.researchgate.net/figure/Ray-tracing-Figure-13-The-Sierpinski-Pyramid_fig2_260126327" target="_blank" rel="nofollow noopener">Sierpinski's Pyramid</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Quasi-analytic classes with respect to logarithmically convex sequences by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Maths, Math, Mathematics, Pascal, Number Theory, Physics 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 Pyramid

Credits

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 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 Pyramid

Credits

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

]]> #28 - Rugby, Rolling and Robots https://www.oddsandevenings.com/28 6e0310ac-fe83-4f21-8131-141206c14b04 Sat, 16 Mar 2019 02:00:00 +0000 Odds and Evenings full Odds and Evenings Topics Discussed: - Rugby Training Problem - Busy Beavers - Gamble Shambles 1:33:26 no <p>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.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Rugby Training Problem</li> <li>Busy Beavers</li> <li>Gamble Shambles</li> </ul> <h3>Show Notes</h3> <p>Articles written by Alaric on Langton's:</p> <ul> <li><a href="http://www.alaricstephen.com/main-featured/2017/6/27/langtons-loops" target="_blank" rel="nofollow noopener">Loops (Introduction)</a></li> <li><a href="http://www.alaricstephen.com/main-featured/2017/6/27/improvements-to-langtons-loops" target="_blank" rel="nofollow noopener">Loops (Evolving)</a></li> <li><a href="http://www.alaricstephen.com/main-featured/2016/12/13/langtons-ant" target="_blank" rel="nofollow noopener">Ant</a></li> </ul> <p><a href="https://en.wikipedia.org/wiki/Busy_beaver" target="_blank" rel="nofollow noopener">Busy Beaver on Wikipedia</a><br> <a href="https://en.wikipedia.org/wiki/Noether%27s_theorem" target="_blank" rel="nofollow noopener">Noether's Theorem</a><br> <a href="http://www.oddsandevenings.com/21" target="_blank" rel="nofollow noopener">The Music Episode</a></p> <p><a href="https://mathsjam.com/find-a-jam/" target="_blank" rel="nofollow noopener">Maths Jam (that you should totally be attending)</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Appreciation of the phrase Busy Beavers by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Maths, Math, Mathematics, Probability, Computing, Turing Machine, Number Theory, Cellular Automata 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:

Busy Beaver on Wikipedia
Noether's Theorem
The Music Episode

Maths Jam (that you should totally be attending)

Credits

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 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:

Busy Beaver on Wikipedia
Noether's Theorem
The Music Episode

Maths Jam (that you should totally be attending)

Credits

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

]]> #24 - Shamir's, Sums and Seatings https://www.oddsandevenings.com/24 68ad7848-2bf2-4815-bd48-1ff9adbeecca Sat, 15 Dec 2018 00:45:00 +0000 Odds and Evenings full Odds and Evenings Topics Discussed: - Trapezium Numbers - Shamir's Shared Secrets - Vampire and Werewolf Lies 1:05:15 no <p>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. </p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Trapezium Numbers</li> <li>Shamir's Shared Secrets</li> <li>Vampire and Werewolf Lies</li> </ul> <h3>Show Notes</h3> <p><a href="https://twitter.com/Cshearer41" target="_blank" rel="nofollow noopener">Catriona Shearer's Geometry Puzzles on Twitter</a><br> <a href="https://twitter.com/MathigonOrg/status/1070302146632081409?s=09" target="_blank" rel="nofollow noopener">Mathigon's Tweet about Trapezium Numbers</a><br> <a href="https://www.hindawi.com/journals/ijmms/2017/4515249/#B4" target="_blank" rel="nofollow noopener">An Article on Properties of Trapezium Numbers</a><br> <a href="http://www.alaricstephen.com/main-featured/2017/5/1/lock-gates?rq=key" target="_blank" rel="nofollow noopener">Alaric's Lock Gates Article</a><br> <a href="https://ericrafaloff.com/shamirs-secret-sharing-scheme/" target="_blank" rel="nofollow noopener">A Good Quality Shamir's Shared Secrets Article</a><br> <a href="https://www.cs.ox.ac.uk/admissions/undergraduate/how_to_apply/MAT2015.pdf" target="_blank" rel="nofollow noopener">The Vampire and Werewolf MAT Question</a><br> <a href="https://www.maths.ox.ac.uk/system/files/attachments/websolutions15_1.pdf" target="_blank" rel="nofollow noopener">The Answers to the MAT Question</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Silver Service at the Vampire-Werewolf Symposium by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Maths, Math, Mathematics, Numbers, Puzzles, Number Theory, Sequences, Information Theory 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 Gates Article
A Good Quality Shamir's Shared Secrets Article
The Vampire and Werewolf MAT Question
The Answers to the MAT Question

Credits

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 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 Gates Article
A Good Quality Shamir's Shared Secrets Article
The Vampire and Werewolf MAT Question
The Answers to the MAT Question

Credits

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

]]> #23 - Ants, Arcs and Awkward Patterns https://www.oddsandevenings.com/23 b5eaa555-8891-4c52-909d-a7dc70e64924 Mon, 26 Nov 2018 01:15:00 +0000 Odds and Evenings full Odds and Evenings Topics Discussed: - Factorial Terminating Digits - Making Polyhedra with your Limbs - Spiders and an Ant Pursuit Puzzle 55:46 no <p>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.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Factorial Terminating Digits</li> <li>Making Polyhedra with your Limbs</li> <li>Spiders and an Ant Pursuit Puzzle</li> </ul> <h3>Show Notes</h3> <p><a href="https://ufile.io/twukd" target="_blank" rel="nofollow noopener">Nice PDF of the Solution to the Partitions Problem by André Malraux</a><br> <a href="https://twitter.com/OddsAndEvenings/status/1064153315280330752" target="_blank" rel="nofollow noopener">Alaric's Puzzle from the Conference</a><br> <a href="https://upload.wikimedia.org/wikipedia/commons/d/d3/Platonic_solids.jpg" target="_blank" rel="nofollow noopener">Platonic Solids to Stare at during Sections 2 and 3 of the Show</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Fervent attempts to keep on top of responding to emails for the show by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Maths, Math, Mathematics, 3D Shapes, Topology, Numbers, Puzzles, Number Theory, Sequences 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 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 André Malraux
Alaric's Puzzle from the Conference
Platonic Solids to Stare at during Sections 2 and 3 of the Show

Credits

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 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 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 André Malraux
Alaric's Puzzle from the Conference
Platonic Solids to Stare at during Sections 2 and 3 of the Show

Credits

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

]]> #22 - Pandemics, Padovan’s and Pumpkins https://www.oddsandevenings.com/22 31d21ef7-e016-49a1-b305-f6b2d9f3976e Wed, 31 Oct 2018 02:00:00 +0000 Odds and Evenings full Odds and Evenings Topics Discussed: - Zombies and Vampires - The Maths of Conversations - Brunnian Pumpkin Carving 1:05:12 no <p>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.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Zombies and Vampires</li> <li>The Maths of Conversations</li> <li>Brunnian Pumpkin Carving</li> </ul> <h3>Show Notes</h3> <h4>Follow Up</h4> <p><a href="https://www.solipsys.co.uk/cgi-bin/MJ_Wiki.py?FrontPage" target="_blank" rel="nofollow noopener">Maths Jam Annual Gathering Page</a><br> <a href="https://hacking.finance/read/?c=the-shade" target="_blank" rel="nofollow noopener">The Shade (Alex's New Podcast)</a></p> <h4>Maths From the Show</h4> <p><a href="http://www.alaricstephen.com/main-featured/2016/9/24/modelling-a-pandemic" target="_blank" rel="nofollow noopener">SIR Model Introduction by Alaric</a><br> <a href="https://docs.google.com/spreadsheets/d/1HxS1GttDPT8eDOhTIfOYckueArSJjGb5VfOr1hgqLno/edit?usp=sharing" target="_blank" rel="nofollow noopener">SIR Model You Can Play With</a><br> <a href="https://en.wikipedia.org/wiki/Borromean_rings" target="_blank" rel="nofollow noopener">Borromean Rings</a><br> <a href="https://en.wikipedia.org/wiki/Brunnian_link" target="_blank" rel="nofollow noopener">Brunnian Links </a>(more generalised)<br> <a href="https://en.wikipedia.org/wiki/Pochhammer_contour" target="_blank" rel="nofollow noopener">Pochhammer's Countour</a><br> <a href="https://www.youtube.com/watch?v=heKK95DAKms&amp;ab_channel=Vihart" target="_blank" rel="nofollow noopener">A Classic Video on Brunnian Links</a> (in the form of snakes), by Vi Hart</p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Following of the brief: bring halloween problems by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Maths, Math, Mathematics, Cellular Automata, Topology, Knot Theory, Halloween, Music, Numbers, Puzzles, Number Theory 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 Show

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

Credits

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 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 Show

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

Credits

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

]]> #21 - Torque, Truth and Time Signatures https://www.oddsandevenings.com/21 533cc901-fb0c-48a4-ab40-63e0dfe921d0 Fri, 19 Oct 2018 03:00:00 +0100 Odds and Evenings full Odds and Evenings Topics Discussed: - Bike Pedals - Time Signatures - Taking an Offer Puzzles 1:12:26 no <p>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.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Bike Pedals</li> <li>Time Signatures</li> <li>Taking an Offer Puzzles</li> </ul> <h3>Show Notes</h3> <h4>Follow Up</h4> <p><a href="https://bl.ocks.org/TVerduyn/raw/4935615ba55a2c0b73b2550e0eb8764d/" target="_blank" rel="nofollow noopener">Visualisation of the Codepad Solution from Tom Verduyn</a><br> <a href="https://www.solipsys.co.uk/cgi-bin/MJ_Wiki.py?FrontPage" target="_blank" rel="nofollow noopener">Maths Jam Annual Gathering Page</a><br> <a href="https://hacking.finance/read/?c=the-shade" target="_blank" rel="nofollow noopener">The Shade (Alex's New Podcast)</a></p> <h4>Maths From the Show</h4> <p>Visuals of the Two Cycloids Mentioned: <a href="http://mathworld.wolfram.com/ProlateCycloid.html" target="_blank" rel="nofollow noopener">Prolate</a> and <a href="http://mathworld.wolfram.com/CurtateCycloid.html" target="_blank" rel="nofollow noopener">Curtate</a><br> <a href="https://twitter.com/SingMathsJam/status/1042057017148334080" target="_blank" rel="nofollow noopener">Video of the Bike Moving</a><br> <a href="https://en.wikipedia.org/wiki/List_of_musical_works_in_unusual_time_signatures" target="_blank" rel="nofollow noopener">Unusual Time Signatures</a><br> <a href="https://www.amazon.co.uk/Forever-Undecided-Puzzle-Guide-Godel/dp/0192801414" target="_blank" rel="nofollow noopener">Forever Undecided: A Puzzle Guide to Gödel</a> The book I talk about in the third part of the show. It's great.<br> <a href="https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems#Truth_of_the_G%C3%B6del_sentence" target="_blank" rel="nofollow noopener">The Gödel Sentence on Wikipedia</a> (Related to the puzzle)</p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Incomplete knowledge of incompleteness theorems by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Maths, Math, Mathematics, Physics, Music, Numbers, Puzzles, Number Theory 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 Shade (Alex's New Podcast)

Maths From the Show

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)

Credits

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 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 Shade (Alex's New Podcast)

Maths From the Show

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)

Credits

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

]]> #18 - Pads, Plato and Pirates https://www.oddsandevenings.com/18 271fedb3-60fb-45ee-9c8a-ad4b1e003dee Wed, 15 Aug 2018 23:45:00 +0100 Odds and Evenings full Odds and Evenings Topics Discussed: - Keypad Code Guessing - Platonism vs Formalism - Pirate Plunder Puzzle 57:48 no <p>The boys move seemlessly between high philosophy and pirate jokes in this eclectic episode.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Keypad Code Guessing</li> <li>Platonism vs Formalism</li> <li>Pirate Plunder Puzzle</li> </ul> <h3>Show Notes</h3> <p><a href="http://www.alaricstephen.com/main-featured/2017/4/10/the-pirate-puzzle" target="_blank" rel="nofollow noopener">Pirate Plunder Puzzle</a><br> <a href="http://www.alaricstephen.com/main-featured/2017/6/13/prisoners-in-rainbow-hats" target="_blank" rel="nofollow noopener">Prisoners in Rainbow Hats</a><br> <a href="https://en.wikipedia.org/wiki/Z-order_curve" target="_blank" rel="nofollow noopener">Z-Order Curves</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Dreams of being a philosopher pirate by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Math, Maths, Podcast, Number Theory, Graph Theory, Puzzles, Philosophy, Mathematics 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 philosopher pirate 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.

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 philosopher pirate by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> #17 - Caps, Cracks and Kaprekar's Constants https://www.oddsandevenings.com/17 9c408fa0-595e-4aa5-b102-9118d6ce2020 Mon, 23 Jul 2018 02:30:00 +0100 Odds and Evenings full Odds and Evenings Topics Discussed: - Prisoners in Hats - Kaprekar's Constant - Generalised Egg Dropping 56:36 no <p>The boys try their hands at problems provided by the listeners in today's special episode.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Prisoners in Hats</li> <li>Kaprekar's Constant</li> <li>Generalised Egg Dropping</li> </ul> <h3>Show Notes</h3> <p><a href="http://www.alaricstephen.com/main-featured/2017/6/13/prisoners-in-rainbow-hats" target="_blank" rel="nofollow noopener">Prisoners in Rainbow Hats</a><br> <a href="http://www.alaricstephen.com/main-featured/2017/4/10/the-islander-paradox" target="_blank" rel="nofollow noopener">Islander Paradox</a><br> <a href="https://en.wikipedia.org/wiki/6174_(number)" target="_blank" rel="nofollow noopener">Kaprekar's Constant</a><br> <a href="https://stackoverflow.com/questions/11603218/three-egg-problem#" target="_blank" rel="nofollow noopener">General Egg Problem Solution</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Too many Hat Problem anecdotes by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Math, Maths, Mathematics, Podcast, Number Theory, Puzzles 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 by Alex
Too many Hat Problem anecdotes 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.

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 by Alex
Too many Hat Problem anecdotes by Alaric

Theme music by David Russell - https://youtube.com/DavidRussell323

]]> #16 - Algorithms, Adding and Adders https://www.oddsandevenings.com/16 93977cde-0683-4062-987e-c1db3675a40c Mon, 09 Jul 2018 02:00:00 +0100 Odds and Evenings full Odds and Evenings Topics Discussed: - FRACTRAN - Negative Bases - Polycube Snakes 51:47 no <p>The boys both have problems which involve complicating the process of adding. Also snakes.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>FRACTRAN</li> <li>Negative Bases</li> <li>Polycube Snakes</li> </ul> <h3>Show Notes</h3> <p><a href="https://en.wikipedia.org/wiki/FRACTRAN" target="_blank" rel="nofollow noopener">FRACTRAN</a><br> <a href="https://en.wikipedia.org/wiki/Negative_base#Addition" target="_blank" rel="nofollow noopener">Adding in Negative Bases</a><br> <a href="https://en.wikipedia.org/wiki/Quater-imaginary_base" target="_blank" rel="nofollow noopener">Quarter-Imaginary Base</a><br> <a href="https://www.toothycat.net/%7Ehologram/Turing/HowItWorks.html" target="_blank" rel="nofollow noopener">Fascinating Turing Complete Magic the Gathering</a><br> <a href="http://www.alaricstephen.com/main-featured/2017/5/20/polycube-snakes" target="_blank" rel="nofollow noopener">Article on Polycube Snakes</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Knuth Pronunciation by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> Math, Maths, Podcast, Computing, Algorithms, Number Theory 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
Fascinating Turing Complete Magic the Gathering
Article on Polycube Snakes

Credits

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 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
Fascinating Turing Complete Magic the Gathering
Article on Polycube Snakes

Credits

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

]]> #14 - Guesses, Geometry and Grover's Algorithm https://www.oddsandevenings.com/14 17e183b8-0293-4e1a-846c-be7515c8b990 Thu, 21 Jun 2018 02:00:00 +0100 Odds and Evenings full Odds and Evenings Topics Discussed: - Digital Mastermind - Cheers - p^2 - 1 mod 24 45:01 no <p>The boys go on serious diversions. Alex fails to use a computer properly.</p> <h3>Odds and Evenings</h3> <p>Twitter - <a href="https://twitter.com/OddsAndEvenings" target="_blank" rel="nofollow noopener">https://twitter.com/OddsAndEvenings</a><br> Website - <a href="http://www.oddsandevenings.com" target="_blank" rel="nofollow noopener">http://www.oddsandevenings.com</a></p> <h3>Topics discussed</h3> <ul> <li>Digital Mastermind</li> <li>Cheers</li> <li>p<sup>2</sup> - 1 mod 24</li> </ul> <h3>Show Notes</h3> <p><a href="https://en.wikipedia.org/wiki/Grover%27s_algorithm" target="_blank" rel="nofollow noopener">Grover's Algorithm</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> <p>Editing by Alex<br> Puzzlemancy by Alaric</p> <p>Theme music by David Russell - <a href="https://youtube.com/DavidRussell323" target="_blank" rel="nofollow noopener">https://youtube.com/DavidRussell323</a> </p> 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 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

]]> #1 - Tetrahedra, Truels and Triangular Children https://www.oddsandevenings.com/1 ef2344e1-3e14-4cfb-9da2-d77d40913f02 Sun, 10 Dec 2017 17:00:00 +0000 Odds and Evenings full Odds and Evenings Topics discussed - 3 Person Humbug, - Newcomb's Paradox, - Pennies in a Jar, - Triangular Children 48:47 no <h3>Odds and Evenings</h3> <p><a href="https://itunes.apple.com/gb/podcast/odds-and-evenings/id1323783266" target="_blank" rel="nofollow noopener"><br> iTunes link</a></p> <h3>Show Notes</h3> <p><a href="https://spacesymmetrystructure.files.wordpress.com/2007/07/tetpack1.jpg" target="_blank" rel="nofollow noopener">Tetrahedra Being Disappointing</a><br> <a href="http://www.alaricstephen.com/main-featured/2017/9/18/truels" target="_blank" rel="nofollow noopener">Truels</a><br> <a href="http://www.alaricstephen.com/main-featured/2016/8/15/eulers-gem-applied-to-geodesic-domes" target="_blank" rel="nofollow noopener">Pentagons and Hexagons</a></p> <h3>Credits</h3> <p>Hosted By <br> Alaric - <a href="http://alaricstephen.com" target="_blank" rel="nofollow noopener">http://alaricstephen.com</a><br> Alex - <a href="http://twitter.com/speakmouthwords" target="_blank" rel="nofollow noopener">http://twitter.com/speakmouthwords</a></p> Odds and Evenings


iTunes link

Show Notes

Tetrahedra Being Disappointing
Truels
Pentagons and Hexagons

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

]]> Odds and Evenings


iTunes link

Show Notes

Tetrahedra Being Disappointing
Truels
Pentagons and Hexagons

Credits

Hosted By
Alaric - http://alaricstephen.com
Alex - http://twitter.com/speakmouthwords

]]>