Here is my first artwork published in the group of Neotrie in Steam. Hope you like this trip into the inside of the level 2 Menger sponge.Instructions:
- Download and save this file in your local foler Documents/Neotrie/NeotrieSaves
(menger2.neot) - Go to the Load and Save menu and write menger2. This huge Menger sponge will appear outside the temple, go there and enjoy!
Here are some more pictures of this excursion.
We are making a little video, I will upload it soon here.
The Császár polyhedron is the first polyhedral realization of a torus with 7 vertices, without diagonals and without self-intersections (Császár, 1949), with 21 edges and 14 triangular faces.
The 1-skeleton is the complete graph on 7 vertices. So we can manipulate it to get the graph of the Csaszar’s polyhedron. One can construct this model of the torus as the quoatient of a square, and build step by step the construction. There is a last option to say Csaszar in high voice (or Csaszar with faces) to get the polyhedron automatically on the scene, thanks to the Speech Recognition System of Neotrie. One can enlarge the figure, and visit it from the inside, fly throught the hole of the torus and see its interior too.
Demonstrations of Neotrie in Paris
Last week we visited the “Palais de la Découverte” and the “Cité des Sciences” in Paris, invited by Guillaume Reuiller.
During two days we were testing Neotrie VR and planning future collaborations with members and responsibles of Universcience, Science Ouverte, teachers of GIPTIP, and “Comité de Culture Mathématique de l’Institut Henry Poincaré”. It was a motivating and great experience! I would like to thank them here for their interest on Neotrie VR and its future applications and uses.
The activity of the Császár’s polyhedron was one of the VR experiences started by Roger Mansuy (second of the right in the next picture). We have completed this in this post.
Downloads:
- Neotrie VR (Free demo)
- Neotrie VR (Full version available in Steam VR)
- csaszar.neot (file downloadable in the full version)
References:
- J. Bokowski and A. Eggert: Toutes les réalisations du tore de Moebius avec sept sommets, Topologie Struct. 17 (1991), 59-78.
- A. Császár: A polyhedron without diagonals, Acta Sci. Math., Szeged 13 (1949-1950), 140-142.
- F.H. Lutz, Császár’s Torus, Electronic Geometry Models: 2001.02.069.
- https://en.wikipedia.org/wiki/Cs%C3%A1sz%C3%A1r_polyhedron
- https://www.gaussianos.com/el-sorprendente-poliedro-de-csaszar/
IMNEO-VR
Posted on: agosto 23, 2018
Pulsa sobre imagen para acceder a web del evento.
One can now visit the famous Imaginary exhibition in Virtual Reality inside Neotrie VR!
Neotrie VR allows to visualize and interact with any 3D object in Virtual Reality. You can play with your favourite math figures and interact with them as never before.
Furthermore, the experience of flying through these surfaces is incredible:
Want to create your own gallery of VR math objects for education, research or public exhibitions? Visit our webpage: http://www.virtualdor.com/NeoTrie-VR/
Reference: https://imaginary.org/es/gallery/herwig-hauser-clasico
New trailer of Neotrie VR
Posted on: agosto 1, 2018
Gran Icosaedro en Bridges 2018
Posted on: junio 18, 2018
- En: Neotrie | Poliedros | Talleres y shows
- 1 Comment
“Bridges” es un gran evento internacional que fomenta el interés por las conexiones de las matemáticas con el arte, la música, la arquitectura, la educación y la cultura. Este año se celebra en Estocolmo, en el Museo Nacional de Ciencia y Tecnología, del 25 al 29 de julio de 2018.
Gran icosaedro presentado en Bridges 2018. Véase la ficha en inglés .
El gran icosaedro es uno de los 4 cuerpos de Kepler-Poinsot, que son similares a los cuerpos platónicos, pero con caras regulares estrelladas (no convexas). Para construirlo en NeoTrie VR, comenzamos a partir de un dodecaedro. Con la herramienta “intersección” obtenemos las 12 puntas del poliedro estrellado (vértices de un icosaedro) cortando pares de aristas de las caras del dodecaedro. A continuación, añadimos las 30 aristas entre dichos vértices, y después las 20 caras triangulares que conforman este poliedro estrellado. Terminamos pintando las caras paralelas del mismo color, para guardar cierta simetría.
Os dejamos un vídeo grabado en la misma escena de NeoTrie, que nos lleva hasta el interior del poliedro para ver su cavidad más interna.
Nota: Para realizar este bonito poliedro en NeoTrie VR, y muchos más que van a venir, hemos seguido los pasos marcados en el vídeo de Rafael Pérez Laserna con Geogebra.
