Juegos topológicos

Covering a float with 3D Polyfelt

Posted on: abril 26, 2013

toroYesterday, we conducted a maths workshop in the “Colegio Agave” (Huercal de Almería), together with David Crespo, Pilar Gámez, and other teachers.

One interesting activity was to cover a float (a torus) with regular polygons of 3D Polyfelt. How many possible combinations are there? Of course infinite. It depends of the size of the pieces (or the size of the float), the regularity or the smoothness we want to get, etc. Note that the flexibility of felt, increases the number of solutions. We think that this is a good project to investigate in secondary school.

Students interested on this subject should look for “tessellations” of the torus. One could for instance, compute the Euler characteristic (vertices-edges+faces) of its own tessellation, and see that it is equal to zero.

We will come back to this post and complete it with some pictures and possible projects to realize. Other surfaces, like cones, cylinders or hyperbolic saddles could be also interesting to cover.

[Update May 19th, 2013: See the experience with some calculations here.]

We next leave a short video with a few moments of the workshop, the students enjoyed very much with many of our favourite manipulative games.

PD: Esta entrada participa en la edición 4.123 del Carnaval de Matemáticas cuyo blog anfitrión es Eulerianos.


2 comentarios to "Covering a float with 3D Polyfelt"

[…] 27. Covering a float with 3D polyfelt […]

Hi there, I desire to subscribe for this web site to get
newest updates, so where can i do it please help.


Introduce tus datos o haz clic en un icono para iniciar sesión:

Logo de

Estás comentando usando tu cuenta de Cerrar sesión /  Cambiar )

Google+ photo

Estás comentando usando tu cuenta de Google+. Cerrar sesión /  Cambiar )

Imagen de Twitter

Estás comentando usando tu cuenta de Twitter. Cerrar sesión /  Cambiar )

Foto de Facebook

Estás comentando usando tu cuenta de Facebook. Cerrar sesión /  Cambiar )

Conectando a %s

Estadísticas del blog

  • 823.843 visitas

Síguenos en

Google translator

Geometry in Virtual Reality

AR Platónic Solids

Disfruta de un montón de figuras en realidad aumentada.

App Surface Projection

A new app to play topology. Get it for free filling

Sierpinski carpet project

Juego alicatado con hilos.

Mago Moebius: Geometry and magics with soap bubbles

Show de matemagia, humor y fantasía, adaptado a todos los niveles.


Premiados en 2012, 2013, 2014, 2015, 2017


Elegida foto del mes en Divulgamat, y segundo premio Enfoca 2012, en Facebook.


Escribe tu dirección de correo electrónico para suscribirte a este blog, y recibir notificaciones de nuevos mensajes por correo.

Únete a otros 81 seguidores

Actualizaciones de Twitter

Error: Twitter no responde. Por favor, espera unos minutos y actualiza esta página.

A %d blogueros les gusta esto: