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Mathematical Objects

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

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A conversation about mathematics and communicating mathematics inspired by a ‘Certified Mathematical Object’ sticker. Presented by Katie Steckles and Peter Rowlett, with special guest Chris Nho from Public-Math.org.

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A conversation about mathematics and communicating mathematics inspired by a ‘Certified Mathematical Object’ sticker. Presented by Katie Steckles and Peter Rowlett, with special guest Chris Nho from Public-Math.org.

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Published 2026-01-16

Mathematical Objects: A taxicab

21 min
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A conversation about mathematics inspired by a taxicab. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a taxicab. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a Venn diagram. Presented by Katie Steckles and Peter Rowlett, with special guest Keisha Thompson.

Katie mentioned the MathForEquality badges and pins.

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A conversation about mathematics inspired by a Venn diagram. Presented by Katie Steckles and Peter Rowlett, with special guest Keisha Thompson.

Katie mentioned the MathForEquality badges and pins.

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Published 2025-12-19

Mathematical Objects: Slice of pizza

18 min
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A conversation about mathematics inspired by a slice of pizza. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a slice of pizza. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a light pattern in a tea cup. Presented by Katie Steckles and Peter Rowlett, with special guest Dominika Vasilkova.

Cardioids in coffee cups – Chalkdust

Cardioids in Coffee Cups – Numberphile

‘Stringuart’ String Art website (and less commercial String Art Generator)

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A conversation about mathematics inspired by a light pattern in a tea cup. Presented by Katie Steckles and Peter Rowlett, with special guest Dominika Vasilkova.

Cardioids in coffee cups – Chalkdust

Cardioids in Coffee Cups – Numberphile

‘Stringuart’ String Art website (and less commercial String Art Generator)

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Published 2025-11-21

Mathematical Objects: Roman dodecahedron

33 min
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A conversation about mathematics, history, games and more, inspired by a Roman dodecahedron. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics, history, games and more, inspired by a Roman dodecahedron. Presented by Katie Steckles and Peter Rowlett.

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Published 2024-12-20

Mathematical Objects: Universe of cake

21 min
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A conversation about mathematics inspired by Lewis Carroll’s Game of Logic. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by Lewis Carroll’s Game of Logic. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by … an object. Presented by Katie Steckles and Peter Rowlett, with special guest Tai-Danae Bradley.

Katie mentions Peter’s The unplanned impact of mathematics, free to read at Nature.

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A conversation about mathematics inspired by … an object. Presented by Katie Steckles and Peter Rowlett, with special guest Tai-Danae Bradley.

Katie mentions Peter’s The unplanned impact of mathematics, free to read at Nature.

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A conversation about infinity inspired by The Library of Babel by Jorge Luis Borges. Presented by Katie Steckles and Peter Rowlett.

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A conversation about infinity inspired by The Library of Babel by Jorge Luis Borges. Presented by Katie Steckles and Peter Rowlett.

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A conversation about election mathematics inspired by a ballot. Presented by Katie Steckles and Peter Rowlett, with special guest Sam Hansen.

For more from Sam and the Carry the Two podcast check out this episode about Mathematics and Voting.

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A conversation about election mathematics inspired by a ballot. Presented by Katie Steckles and Peter Rowlett, with special guest Sam Hansen.

For more from Sam and the Carry the Two podcast check out this episode about Mathematics and Voting.

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A conversation about mathematics inspired by a low bridge sign. Presented by Katie Steckles and Peter Rowlett, with special guest Adam Townsend.

The plot discussed around 11 minutes and various other photos are available on Adam’s Height Hunt website (spoilers for the episode’s twists and turns!).

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A conversation about mathematics inspired by a low bridge sign. Presented by Katie Steckles and Peter Rowlett, with special guest Adam Townsend.

The plot discussed around 11 minutes and various other photos are available on Adam’s Height Hunt website (spoilers for the episode’s twists and turns!).

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A conversation about mathematics inspired by an old textbook, Mathematics in Theory and Practice, edited by Warwick Sawyer. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by an old textbook, Mathematics in Theory and Practice, edited by Warwick Sawyer. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a scone. Presented by Katie Steckles and Peter Rowlett, with special guest Sophie Maclean.

Photo CC BY-SA 2.0 by Alpha
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A conversation about mathematics inspired by a scone. Presented by Katie Steckles and Peter Rowlett, with special guest Sophie Maclean.

Photo CC BY-SA 2.0 by Alpha
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Published 2023-08-11

Mathematical Objects: Joukowsky aerofoil

11 min
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A conversation about mathematics inspired by the Joukowsky aerofoil. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by the Joukowsky aerofoil. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a guitar. Presented by Katie Steckles and Peter Rowlett, with special guest Sam Hartburn.

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A conversation about mathematics inspired by a guitar. Presented by Katie Steckles and Peter Rowlett, with special guest Sam Hartburn.

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Published 2023-07-14

Mathematical Objects: On-Sets

18 min
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A conversation about mathematics inspired by a 1960s game designed to teach set theory. Presented by Katie Steckles and Peter Rowlett.

On-Sets: A Vintage Set Theory Game by Peter Rowlett is free to read in Math Horizons.

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A conversation about mathematics inspired by a 1960s game designed to teach set theory. Presented by Katie Steckles and Peter Rowlett.

On-Sets: A Vintage Set Theory Game by Peter Rowlett is free to read in Math Horizons.

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A conversation about mathematics and literature inspired by a book. Presented by Katie Steckles and Peter Rowlett with special guest Sarah Hart, author of Once Upon a Prime: The Wondrous Connections Between Mathematics and Literature.

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A conversation about mathematics and literature inspired by a book. Presented by Katie Steckles and Peter Rowlett with special guest Sarah Hart, author of Once Upon a Prime: The Wondrous Connections Between Mathematics and Literature.

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Published 2023-06-16

Mathematical Objects: Battenberg cake

18 min
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A conversation about mathematics inspired by a Battenberg cake. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a Battenberg cake. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by the new aperiodic monotile. Presented by Katie Steckles and Peter Rowlett, with special guest Chaim Goodman-Strauss.

The paper announcing the discovery is An aperiodic monotile by David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss.

Chaim was recording from MoMath in New York, which will be running a creative artwork competition based on the monotile with UKMT. Chaim also mentioned a meeting in Oxford: Hatfest: celebrating the discovery of an Aperiodic Monotile.

Note: This podcast was recorded after the discovery of the ‘hat’ and ‘turtle’ monotiles but before the announcement of the ‘spectre’ monotile. Confused? Don’t worry, we explain in the episode!

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A conversation about mathematics inspired by the new aperiodic monotile. Presented by Katie Steckles and Peter Rowlett, with special guest Chaim Goodman-Strauss.

The paper announcing the discovery is An aperiodic monotile by David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss.

Chaim was recording from MoMath in New York, which will be running a creative artwork competition based on the monotile with UKMT. Chaim also mentioned a meeting in Oxford: Hatfest: celebrating the discovery of an Aperiodic Monotile.

Note: This podcast was recorded after the discovery of the ‘hat’ and ‘turtle’ monotiles but before the announcement of the ‘spectre’ monotile. Confused? Don’t worry, we explain in the episode!

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A conversation about mathematics inspired by some fingers. Presented by Katie Steckles and Peter Rowlett, with special guest Ben Orlin. Ben’s new book is Math Games with Bad Drawings.

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A conversation about mathematics inspired by some fingers. Presented by Katie Steckles and Peter Rowlett, with special guest Ben Orlin. Ben’s new book is Math Games with Bad Drawings.

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Published 2022-07-01

Mathematical Objects: Quarto

24 min
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A conversation about mathematics inspired by the game Quarto. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by the game Quarto. Presented by Katie Steckles and Peter Rowlett.

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Published 2022-06-17

Mathematical Objects: Slinky

14 min
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A conversation about mathematics inspired by a slinky. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a slinky. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by the nodal cubic. Presented by Katie Steckles and Peter Rowlett. We go closer to the cutting edge of research than usual in this chat with Angela Tabiri about her PhD research.

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A conversation about mathematics inspired by the nodal cubic. Presented by Katie Steckles and Peter Rowlett. We go closer to the cutting edge of research than usual in this chat with Angela Tabiri about her PhD research.

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Published 2022-05-20

Mathematical Objects: PageRank

22 min
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A conversation about mathematics inspired by the PageRank algorithm. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by the PageRank algorithm. Presented by Katie Steckles and Peter Rowlett.

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Published 2022-05-06

Mathematical Objects: A joke with Bec Hill

34 min
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A conversation about mathematics inspired by a joke. Presented by Katie Steckles and Peter Rowlett, with special guest Bec Hill.

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A conversation about mathematics inspired by a joke. Presented by Katie Steckles and Peter Rowlett, with special guest Bec Hill.

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Published 2022-04-22

Mathematical Objects: Hairy ball

20 min
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A conversation about mathematics inspired by a hairy ball. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a hairy ball. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a superegg. Presented by Katie Steckles and Peter Rowlett, with special guest Hannah Fry.

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A conversation about mathematics inspired by a superegg. Presented by Katie Steckles and Peter Rowlett, with special guest Hannah Fry.

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A conversation about mathematical jokes, humour and folklore inspired by a sheep, at least one side of which is black. Presented by Katie Steckles and Peter Rowlett.

The jokes sent to Peter on Twitter that we mention can be found in the replies to this tweet.

Your favourite maths jokes please. I thank you.

— Peter Rowlett (@peterrowlett) June 14, 2021
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A conversation about mathematical jokes, humour and folklore inspired by a sheep, at least one side of which is black. Presented by Katie Steckles and Peter Rowlett.

The jokes sent to Peter on Twitter that we mention can be found in the replies to this tweet.

Your favourite maths jokes please. I thank you.

— Peter Rowlett (@peterrowlett) June 14, 2021
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A conversation about mathematics inspired by a plate of biscuits. Presented by Katie Steckles and Peter Rowlett, with special guest Alison Kiddle. What do you notice? What do you wonder?

Alison’s Noticing and wondering page.

We also mentioned A Problem Squared Episode 014 = Final Cheese Drama and Quick-Fire-O-Rama.

You can see Peter’s kitchen floor in this tweet.

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A conversation about mathematics inspired by a plate of biscuits. Presented by Katie Steckles and Peter Rowlett, with special guest Alison Kiddle. What do you notice? What do you wonder?

Alison’s Noticing and wondering page.

We also mentioned A Problem Squared Episode 014 = Final Cheese Drama and Quick-Fire-O-Rama.

You can see Peter’s kitchen floor in this tweet.

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A conversation about mathematics inspired by a balancing bird. Presented by Katie Steckles and Peter Rowlett, with special guest Alom Shaha.

Alom’s video and template about the balancing bird.

Photo by Alom Shaha.

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A conversation about mathematics inspired by a balancing bird. Presented by Katie Steckles and Peter Rowlett, with special guest Alom Shaha.

Alom’s video and template about the balancing bird.

Photo by Alom Shaha.

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A conversation about mathematics inspired by an auctioneer’s hammer. Presented by Katie Steckles and Peter Rowlett, with special guest Tim Harford.

Image by Arek Socha from Pixabay

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A conversation about mathematics inspired by an auctioneer’s hammer. Presented by Katie Steckles and Peter Rowlett, with special guest Tim Harford.

Image by Arek Socha from Pixabay

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Published 2021-06-04

Mathematical Objects: Dobble

19 min
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A conversation about mathematics inspired by cards from the game Dobble. Presented by Katie Steckles and Peter Rowlett. You can read more about Katie’s adventures in golfing combinatorics.

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A conversation about mathematics inspired by cards from the game Dobble. Presented by Katie Steckles and Peter Rowlett. You can read more about Katie’s adventures in golfing combinatorics.

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A conversation about mathematics inspired by an arbelos. Presented by Katie Steckles and Peter Rowlett, with special guest Catriona Agg.

Catriona mentions this proof without words, which is taken from Proof Without Words: The Area of an Arbelos by Roger B. Nelsen in Mathematics Magazine.

Arbelos by Catriona Agg

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A conversation about mathematics inspired by an arbelos. Presented by Katie Steckles and Peter Rowlett, with special guest Catriona Agg.

Catriona mentions this proof without words, which is taken from Proof Without Words: The Area of an Arbelos by Roger B. Nelsen in Mathematics Magazine.

Arbelos by Catriona Agg

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Published 2020-12-25

Mathematical Objects: Christmas crackers

21 min
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A conversation about mathematics inspired by a box of Christmas crackers. Presented by Katie Steckles and Peter Rowlett. Merry Christmas!

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A conversation about mathematics inspired by a box of Christmas crackers. Presented by Katie Steckles and Peter Rowlett. Merry Christmas!

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For anyone who gets their podcasts through YouTube, and for the attention of anyone who didn’t already know about the Mathematical Objects podcast, we’ve started posting old episodes on the Aperiodical’s YouTube channel, and will do so once a week (10am GMT on Mondays) until we catch up with the current episode.

The first episode is on Towers of Hanoi, and there’s a playlist where all future episodes will be added. For more information about the podcast, visit our page on the site.

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For anyone who gets their podcasts through YouTube, and for the attention of anyone who didn’t already know about the Mathematical Objects podcast, we’ve started posting old episodes on the Aperiodical’s YouTube channel, and will do so once a week (10am GMT on Mondays) until we catch up with the current episode.

The first episode is on Towers of Hanoi, and there’s a playlist where all future episodes will be added. For more information about the podcast, visit our page on the site.

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Published 2020-10-30

Mathematical Objects: Lottery machine

25 min
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A conversation about mathematics inspired by a lottery machine. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a lottery machine. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a Klein bottle and Mathsteroids. Presented by Katie Steckles and Peter Rowlett, with special guest Matthew Scroggs.

Play Mathsteriods!

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A conversation about mathematics inspired by a Klein bottle and Mathsteroids. Presented by Katie Steckles and Peter Rowlett, with special guest Matthew Scroggs.

Play Mathsteriods!

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Published 2020-10-02

Mathematical Objects: A hat

17 min
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A conversation about mathematics inspired by a hat. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics inspired by a hat. Presented by Katie Steckles and Peter Rowlett.

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A conversation about mathematics and education inspired by a hundred square. Presented by Katie Steckles and Peter Rowlett, with special guest Susan Okereke.

In the episode, we mentioned the original Prime Climb colouring sheet and Peter’s Prime Climb colouring sheet on GitHub as drawing-primes.

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A conversation about mathematics and education inspired by a hundred square. Presented by Katie Steckles and Peter Rowlett, with special guest Susan Okereke.

In the episode, we mentioned the original Prime Climb colouring sheet and Peter’s Prime Climb colouring sheet on GitHub as drawing-primes.

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