Mathematical Objects

50 episodes listed below

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Everyday objects, carefully turned toward maths.

The gist

Mathematical Objects uses a chosen object as the route into mathematics, from a taxi cab to a slice of pizza. The conversations keep technical ideas close to tangible examples, so distance metrics, curvature, Venn diagrams, stickers, signs, and cubics stay grounded in things people can picture.

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About Mathematical Objects

Mathematical Objects is built around a simple constraint: each conversation begins with an object. That object might be a taxi cab, a slice of pizza, a low bridge sign, a certified mathematical object sticker, an aperiodic monotile, or a nodal cubic. From there, the show follows the mathematics that the object makes visible. It is not only about solving problems. It is about noticing where definitions, shapes, labels, measures, and categories become interesting. A taxi cab becomes a way to think about distance. A circle can stop being round once the metric changes. A pizza slice becomes a route into curvature, including the contrast between sphere-like bending and saddle-like bending. A Venn diagram becomes a familiar doorway into sets, classification, hierarchy, and examples from everyday life. The sticker episode turns on a different kind of question: what happens when something is officially labelled mathematical, and whether that label clarifies or flattens the idea. The low bridge sign material points toward measurement, unit conversion, and the oddities that can appear in public information. The more formal episodes keep the same object-first habit. An aperiodic monotile lets the conversation attend to tilings and the distinction between non-periodic and aperiodic. A nodal cubic is described through its equation, its alpha-like shape, and the point where the curve meets itself. The show is conversational and precise. It allows digressions, but the digressions usually stay near the object in hand. Named guests appear when an object benefits from a more specific angle, including Chris Ngo, Keisha Thompson, Adam, Chaim Goodman-Strauss, and Angela Tabiri. The copy of mathematics here is not grand or remote. It is tactile, visual, and often domestic: flats with mirrored layouts, a parcel forgotten on the way to the post office, a slice that droops under toppings. That ordinary scale is part of the appeal. Mathematical Objects suits a listener who wants the route into an idea before the formal destination, and who enjoys finding exact language for things that first seemed merely familiar.

Made for: Suits a listener who enjoys approachable mathematical conversation rooted in visible objects, examples, and definitions. It is especially well fitted to someone who likes geometry, classification, tiling, equations, and outreach without needing the show to flatten the ideas.

What sets it apart: The show’s object-first structure gives each episode a concrete handle before the mathematics becomes abstract. Similar maths shows may start from concepts; Mathematical Objects often starts from something on a table, road, plate, diagram, or graph.

In their own words

Katie Steckles and Peter Rowlett chat about some aspect of mathematics using a mathematical object as inspiration.

Why you'd press play

A drooping pizza slice has a geometry problem, and suddenly you're discussing curvature over dinner.

Press play if you want

  • to find out why a circle can look like a diamond when you change the meaning of distance
  • to use a Venn diagram for sorting things you actually care about, not just numbers
Read the full recommendation in PlayNext →
mathematical objectsgeometry and distancecurvatureVenn diagrams and setstilings and aperiodicitymathematical outreachequations and shapesclassification and definitions

Talks about

Best episodes of Mathematical Objects

Short reviews from the PlayNext desk, based on the episodes we processed.

Mathematical Objects: A Norbert Wiener StoryFeb 13, 2026

A mathematical idea comes alive through a lost address, mirror-image flats, and one very familiar failure to post a letter.

A mathematical idea slips in through an absent-minded-professor setup: a man writes over the paper with his new address, goes back to the empty old place, and is forced to notice that he has moved.

Mathematical Objects: Certified Mathematical Object sticker with Chris NhoJan 30, 2026

Shiny gold stickers open into a thoughtful question about what counts as mathematics.

A set of shiny gold stickers gives this single-episode review an appealingly concrete doorway into a bigger question: what, exactly, gets to count as mathematics?

Mathematical Objects: A taxicabJan 16, 2026

A taxi cab turns the familiar circle into a diamond and makes distance feel newly negotiable.

Katie Steckles and Peter Ola use the taxi cab as a neat way into taxicab geometry, where distance is measured by the routes a cab can actually take rather than by a straight line.

Mathematical Objects: Venn diagram with Keisha ThompsonJan 2, 2026

A familiar diagram opens onto sets, categories, workshops, and the pleasure of sorting the world.

A familiar pair of overlapping circles opens into the idea of a set, as Katie Steckles and Keisha consider why Venn diagrams have such staying power.

Mathematical Objects: Slice of pizzaDec 19, 2025

A floppy pizza slice leads into curvature, with a Pringle making negative curvature easy to picture.

A slice of pizza makes a neat way into the geometry of bending surfaces. Katie Steckles and Peter Olet begin with the ordinary problem of a topped slice drooping when held by the crust, with the thin end giving way and the topping sliding.

Podcasts like Mathematical Objects

Episodes

  1. 1

    Mathematical Objects: A Norbert Wiener Story

    Hidden gem

    Mathematical Objects: A Norbert Wiener Story centers on Norbert Wiener, the MIT mathematician whose absent-minded-professor folklore drives the conversation.

    Feb 13, 2026·26m·1 clip
  2. 2

    Mathematical Objects: Certified Mathematical Object sticker with Chris Nho

    Hidden gem

    Chris Ngo brings Peter Ollett and Katie Steckles a gold-foil "certified mathematical object" sticker funded by Public Math and traces it to a rejected MoMath proposal called "10 Mathematical Objects." The episode uses Marcel Duchamp's 1913 "Bicycle Wheel" and the line about an object being elevated by "the mere choice of an artist" to compare art designation with math designation.

    Jan 30, 2026·35m·3 clips
  3. 3

    Mathematical Objects: A taxicab

    Hidden gem

    ["Mathematical Objects opens with Katie Steckles and Peter Ola explaining taxicab geometry as horizontal-plus-vertical movement instead of straight-line distance.", "They compare Euclidean distance with Manhattan distance and Chebyshev distance, then show that a taxicab circle becomes a diamond shape.", "The discussion turns to G.H.

    Jan 16, 2026·22m·1 clip
  4. 4

    Mathematical Objects: Venn diagram with Keisha Thompson

    Hidden gem

    Katie Steckles and Peter Olett center this Mathematical Objects episode on the Venn diagram, with guest Keisha Thompson explaining how she uses it in poetry and performance.

    Jan 2, 2026·49m·3 clips
  5. 5

    Mathematical Objects: Slice of pizza

    Hidden gem

    Katie and Peter discuss the mathematical principle behind bending a pizza slice's crust to prevent it from drooping.

    Dec 19, 2025·19m·1 clip
  6. 6

    Mathematical Objects: Cardioid

    Dec 5, 2025·42m
  7. 7

    Mathematical Objects: Roman dodecahedron

    Nov 21, 2025·34m
  8. 8

    Mathematical Objects: 3D wooden puzzle with Grant Sanderson

    Nov 7, 2025·29m
  9. 9

    Mathematical Objects: Universe of cake

    Dec 20, 2024·22m
  10. 10

    Mathematical Objects: An object

    Dec 6, 2024·22m
  11. 11

    Mathematical Objects: Borges' Library of Babel

    Nov 22, 2024·15m
  12. 12

    Mathematical Objects: Parallelepiped with Ayliean MacDonald

    Nov 8, 2024·33m
  13. 13

    Mathematical Objects: An area the size of Wales

    Oct 25, 2024·30m
  14. 14

    Mathematical Objects: A ballot with Samuel Hansen

    Oct 11, 2024·39m
  15. 15

    Mathematical Objects: Space-filling curves

    Sep 27, 2024·21m
  16. 16

    Mathematical Objects: Low bridge sign with Adam Townsend

    Adam Townsend discusses a low bridge sign as a mathematical object, highlighting its retroreflective properties and the curiosity of two nearby bridges with different imperial measurements for the same metric height.

    Sep 13, 2024·36m
  17. 17

    Mathematical Objects: Post-season 7 update

    Oct 10, 2023·6m
  18. 18

    Mathematical Objects: Mathematics in Theory and Practice, edited by Warwick Sawyer

    Sep 8, 2023·29m
  19. 19

    Mathematical Objects: Scone with Sophie Maclean

    Aug 25, 2023·20m
  20. 20

    Mathematical Objects: Joukowsky aerofoil

    Aug 11, 2023·11m
  21. 21

    Mathematical Objects: Guitar with Sam Hartburn

    Jul 28, 2023·24m
  22. 22

    Mathematical Objects: On-Sets

    Jul 14, 2023·18m
  23. 23

    Mathematical Objects: A book

    Jun 30, 2023·29m
  24. 24

    Mathematical Objects: Battenberg cake

    Jun 16, 2023·18m
  25. 25

    Mathematical Objects: Aperiodic monotile with Chaim Goodman-Strauss

    Katie Steckles and Peter Ola discuss the newly discovered aperiodic monotile with guest Chaim Goodman-Strauss, exploring its significance and the nuances of aperiodicity in tilings.

    Jun 2, 2023·37m
  26. 26

    Mathematical Objects: Fingers with Ben Orlin

    Jul 15, 2022·32m
  27. 27

    Mathematical Objects: Quarto

    Jul 1, 2022·25m
  28. 28

    Mathematical Objects: Slinky

    Jun 17, 2022·14m
  29. 29

    Mathematical Objects: Nodal cubic with Angela Tabiri

    Angela Tabiri explains the nodal cubic, a mathematical curve shaped like the Greek letter alpha, and discusses its properties and significance.

    Jun 3, 2022·24m
  30. 30

    Mathematical Objects: PageRank

    May 20, 2022·22m
  31. 31

    Mathematical Objects: A joke with Bec Hill

    May 6, 2022·35m
  32. 32

    Mathematical Objects: Hairy ball

    Apr 22, 2022·20m
  33. 33

    Mathematical Objects: Superegg with Hannah Fry

    Apr 8, 2022·25m
  34. 34

    Mathematical Objects: A sheep, at least one side of which is black

    Aug 27, 2021·19m
  35. 35

    Mathematical Objects: Plate of biscuits

    Aug 13, 2021·25m
  36. 36

    Mathematical Objects: Spirograph

    Jul 30, 2021·14m
  37. 37

    Mathematical Objects: Balancing bird with Alom Shaha

    Katie Steckles and Peter Ollett discuss the balancing bird, a physics toy that appears to levitate due to its center of mass, with guest Alom Shaha from his book 'Marvellous Machines'.

    Jul 16, 2021·20m
  38. 38

    Mathematical Objects: UUID 0412a969-5b27-4c28-9662-85ef2c201e0c

    Jul 2, 2021·14m
  39. 39

    Mathematical Objects: Auctioneer's Hammer with Tim Harford

    Jun 18, 2021·30m
  40. 40

    Mathematical Objects: Dobble

    Jun 4, 2021·20m
  41. 41

    Mathematical Objects: Arbelos

    May 21, 2021·29m
  42. 42

    Mathematical Objects: Christmas crackers

    Dec 25, 2020·21m
  43. 43

    Mathematical Objects: Enigma machine with Tom Briggs

    Dec 11, 2020·37m
  44. 44

    Mathematical Objects: Solids of constant width

    Nov 27, 2020·11m
  45. 45

    Mathematical Objects: Ball of wool with Pat Ashforth

    Nov 13, 2020·30m
  46. 46

    Mathematical Objects: Lottery machine

    Oct 30, 2020·25m
  47. 47

    Mathematical Objects: Klein bottle with Matthew Scroggs

    Oct 16, 2020·24m
  48. 48

    Mathematical Objects: A hat

    Oct 2, 2020·17m
  49. 49

    Mathematical Objects: Hundred square with Susan Okereke

    Katie Steckles and Peter Ollett discuss the hundred square with guest Susan Okereke, exploring its use in primary school maths to teach place value and number relationships.

    Sep 18, 2020·32m
  50. 50

    Mathematical Objects: Twenty Pence coin

    Aug 28, 2020·14m