3D Polyfelts and Neotrie VR have been recently used in the Master's degree in Secondary Education Teaching of the University of Almería to design new and combined activities about polyhedra, tillings and fractals. Want to know more?
El verano está para divertirse, y que mejor que hacerlo ¡jugando con Polifieltros 3D! Si además lo combinamos con Neotrie, el nuevo software de Realidad Virtual, que está desarrollando Virtual Dor, la Geometría toma una nueva dimensión, jamás experimentada hasta ahora.
Esta nueva experiencia es la que han vivido los chavales del Club Náutico de Aguadulce, en unas jornadas organizadas por Juega Conmigo Talleres, durante esta semana del 24 al 27 de octubre de 2017.
Vídeo realizado por alumnos del IES Itaca (Tomares, Sevilla)sobre el taller del 15 de marzo de 2017. Gracias a Diego Cangas, Antonio Zarauz, por acompañarme en este fantástico viaje a "Itaca".
3d Polyfelt provides a good way to make polyhedral surfaces, calculate its Euler characteristic, study curvature at vertices computing their angular defects, etc.
Pictures below are from the workshop held at the ICME-13. All these figures have the Euler characteristic of a torus, i.e. V-E+F=0.
Torus inspired by triangulation found by Sarah-Marie Belcastro
This torus has 42 faces (12 pentagons, 24 hexagons and 6 octagons), 126 edges, and 84 vertices, which gives you Euler characteristic V-E+F=0. Here are some more simple toroids with hexagons, octagons, decagons, and squares:
Can you make others? Send us and will be published here!
Some references:
Bonnie Madison Stewart, Adventures Among the Toroids: a study of quasi-convex, aplanar, tunnelled orientable polyhedra of positive genus having regular faces with disjoint interiors, 1970; 2nd ed. 1980.
