Flexagons and the Math Behind Twisted Paper (FutureLearn)

Flexagons and the Math Behind Twisted Paper (FutureLearn)

Learn how to make flexagons - beautiful and unique paper constructions - and explore the math behind them. Discover the unusual math of twisted strips of paper. Flexagons are twisted strips of folded paper, which reveal their properties when flexed. This online course will explain what flexagons are, their history and their naming conventions. You’ll find out how to create your own flexagons and be able to share them with our global community of learners.

Class Deals by MOOC List - Click here and see FutureLearn's Active Discounts, Deals, and Promo Codes.

You’ll also explore mathematical fields that provide tools to analyze flexagons, including topology and graph theory and learn about Möbius strips, Tuckermann diagrams and more.

What topics will you cover?

  • The invention of flexagons
  • How to make flexagons
  • Cyclic and non-cyclic flexagons
  • Advanced flexagons
  • Möbius strips and their surprising properties
  • The math behind flexagons, Möbius strips and knotted paper bands

Learning on this course
You can take this self-guided course and learn at your own pace. On every step of the course you can meet other learners, share your ideas and join in with active discussions in the comments.

What will you achieve?
By the end of the course, you'll be able to...

  • Produce, create and fold Flexagons and Mobius Strips
  • Explore flexagons and discover some of their unique properties
  • Synthesize your knowledge and discover links between different mathematical tools.

Who is the course for?
This course is aimed at learners who enjoy being creative, solving puzzles, folding paper and revealing hidden mathematics. It will be especially useful for parents or teachers looking to inspire a love of math and do fun math activities with young people.

Go to Class
MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

Related Courses

Estadística y probabilidad (Coursera) Coursera
Universidad Nacional Autónoma de México

Estadística y probabilidad (Coursera)

En este curso podrás apoyar tu formación en temas de estadística y probabilidad I. Más allá de que encuentres aquí un apoyo para lograr una calificación, el curso busca ayudarte a que adquieras los aprendizajes que comprenden temas de estadística descriptiva, datos bivariados y probabilidad, los cuales te serán de utilidad en tu paso por la licenciatura y en tu vida profesional.

Nov 23rd 2026
4 Weeks
Studying in Italian - Science and Mathematics: a MOVE-ME Project Course (FutureLearn) FutureLearn
The Open University,Università per Stranieri di Siena - UniStraSi,NUI Galway

Studying in Italian - Science and Mathematics: a MOVE-ME Project Course (FutureLearn)

Study Science and Maths in Italian and develop the skills you need when you take part in a European student mobility programme. Each year thousands of students travel across Europe to study in a foreign language like Italian. This can be daunting, even for those who are fluent. This online course from UniStraSi will help, guiding you through the peculiarities of academic discourse in Italian, and enabling you to understand and produce written and aural academic texts.

No sessions available
5-12 Weeks
Jugar y Aprender Matemática en aulas heterogéneas (Coursera) Coursera
Universidad Austral

Jugar y Aprender Matemática en aulas heterogéneas (Coursera)

Cuando se asume la enseñanza de la matemática con el compromiso de la participación de todos los alumnos en una comunidad de producción, en la que se resuelven problemas con distintos procedimientos, se comparan producciones, se analiza la validez de las afirmaciones que se hacen, la tarea resulta todo un desafío. En el caso del plurigrado, el desafío parece aún mayor. ¿Cómo presentar problemas que involucren en este trabajo reflexivo a niños y niñas de distintas edades y con distintos conocimientos?

Nov 23rd 2026
4 Weeks
Getting a Grip on Mathematical Symbolism (FutureLearn) FutureLearn
Loughborough University

Getting a Grip on Mathematical Symbolism (FutureLearn)

Want to be an engineer or scientist? Lack mathematical confidence? Learn to think mathematically and explore essential concepts. This course is aimed at those who aspire to study science or engineering foundation courses at university level. It draws upon the experience of staff from the Mathematics Education Centre at Loughborough University - a centre that has specialised for many years in mathematics teaching and mathematics support for science and engineering students who find the transition to university mathematics particularly challenging.

No sessions available
3 Weeks
Introduction à la théorie de Galois (Coursera) Coursera
École normale supérieure

Introduction à la théorie de Galois (Coursera)

Le cours expose la théorie de Galois, du classique critère de non-résolubilité des équations polynomiales aux méthodes plus avancées de calcul de groupes de Galois par réduction modulo un nombre premier. Le thème général de cette théorie est l'étude des racines d'un polynôme et concerne en particulier la possibilité de les exprimer à partir des coefficients de ce polynôme. Evariste Galois considère les symétries de ces racines et associe ainsi à ce polynôme un groupe de permutations de ses racines, que l'on appelle maintenant son groupe de Galois.

Nov 23rd 2026
5-12 Weeks
World Class Maths: Asian Teaching Practice (FutureLearn) FutureLearn
Macmillan Education

World Class Maths: Asian Teaching Practice (FutureLearn)

Learn how to create lessons plans based on Asian maths teaching methods, and develop your maths teaching practice. Integrate world-class maths teaching methods into your own teaching practice. Get an introduction to Asian maths teaching methods for primary education, with this course from Macmillan Education and University of Southampton.

No sessions available
4 Weeks
Understanding Maths and Logic in Computer Science (FutureLearn) FutureLearn
Raspberry Pi Foundation

Understanding Maths and Logic in Computer Science (FutureLearn)

Improve your understanding and ability to teach maths and logic in computing while building elements of an escape room. Become more familiar with maths and logic in computer science. The mathematical aspects of computer science can be difficult to understand and teach. On this course, you will be introduced to maths and logic in computing in an engaging way.

Nov 1st 2021
3 Weeks
Introduction to Generating Functions for A-Level Maths Students (FutureLearn) FutureLearn
Manchester Grammar School

Introduction to Generating Functions for A-Level Maths Students (FutureLearn)

Learn the fundamentals of generating functions and experience studying maths at a university level. Discover what it’s like to study mathematics at University. This three-week course from Manchester Grammar School will give you an opportunity to study a university-level topic in-depth. As an A-level mathematics student, you’ll be able to further your learning through the study of generating functions and obtain a sense of what it’s like to study maths at university.

Jun 27th 2022
3 Weeks