Congresses:

Presented at:

Awards:

Mathematics 2016, 2017

Pilot educational project:

Join us in our Scientix pilot educational project. Click over the logo to access. Translated to 7 languages:

Exhibitions:

NeoTrie VR is playing an innovative and attractive role in science fairs and divulgative exhibitions.

Activities 2018:

DITMAE 2018: Figueras, February 3, 2018.
Feria Aula Empresa, La Salle, Almería, February 21st, 2018.
AGANEM, Asociación Nacional de Estudiantes de Matemáticas, Universidad de Almería, February 25th, 2018.
PiDay, IES Nicolás Salmerón, Almería, March 14th, 2018.
MADINA, Congrès Mathématiques et Diffusions à Nantes, April 9-13th, 2018.
Feria de las Ideas UAL, April 25th, 2018.
DI-MA, Tecnologías en la Divulgación Matemática, Zaragoza, Spain, May 10-11th, 2018.
Feria de la Ciencia, Museo de Almería, May 12th, 2018.
IES Jiménez de la Espada, Cartagena, May 18th, 2018.
Congreso de Jóvenes Investigadores SIMIP , Universidad Politécnica de Cartagena, 18 de mayo, 2018.Universidad Politécnica de Cartagena, May 18th, 2018.
Salon Culture et Jeux Mathématiques, Paris, May 24th, 2018.
IES Aurantia, Benhadux, Almería, 29 de mayo, 2018.
IES José Saramago, Marilenada, Sevilla, June 25, 2018.
CAGDME, Coimbra, June 26-29th, 2018.
Jornadas Interdisciplinares mchagt-2018, June 28th, 2018.
XVII CEAM Thales, Congreso de Enseñanza y Aprendizaje de las Matemáticas, Almería, July 4-6th, 2018.
BRIDGES Mathematics, Art, Music, Architecture, Education, Culture, Stockholm, Sweden, July 25-29th, 2018. Family Day page.
Noche de los Investigadores, September 28, 2018, Almería.
1st International Meeting of Neotrie VR, October 1-2, 2018, Almería.
XXV Encuentro de Topología, Barcelona, October 19-20, 2018.
MATRIX Conference 2018, Barcelona, October 29-31, 2018.
Palais de la Découverte, Paris, November 29-December 2, 2018.
University of Leicester, Leicester, December 14, 2018.

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A new VR scenario to create, manipulate and play with 3D geometrical objects.

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Project team:

Director:

José L. Rodríguez
(Dept. Mathematics, University of Almería).

Main software developer:

Diego Cangas Moldes
(Student of Informatics Engineering, UAL).

Advising team:

David Crespo Casteleiro
(IES Ciudad de Dalías, Almería)
Grazyna Morga
(Zespół Szkolno-Przedszkolny w Żernicy, Poland)
Antonio Zarauz Moreno
(Master student of Mathematics, UAL)

Research team

Mª Isabel Romero
(Dept. Education, UAL)
Antonio Codina
(Dept. Education, UAL)

Educational centers: (soon available)

Aims:

NeoTrie VR is a new software package of Virtual Reality which is currently being developed by Virtual Dor and the University of Almería, that enables users to create, manipulate, and interact with 3D geometrical objects and 3D models in general, of several types.

The objectives of this software project are the following:

To examine aspects of plane geometry visible through the eyes of a third dimension.
To introduce 3D geometry and modelling meant for 3D printing.
To develop handicrafts and 3D visual skills.
To stimulate deductive and inductive reasoning skills.
To highlight cooperative work and positive interdependence.
To motivate pupils by means of recreational, collaborative and competitive games.

Characteristics:

The NeoTrie VR scenario completely envelops the player in a totally immersive and interactive experience without precedent, thanks to the high technology provided by HTC Vive, Oculus Rift, Windows 10 Mixed Reality.

We plan to implement gaming activities and lesson plans for distinct ages and levels, covering the following subjects:

2D geometry: parallels and perpendiculars, measures of lengths and angles, etc.
Projections of 3D figures using interactive light bulbs.
Construction of polyhedra (Platonics, pyramids, prisms, antiprisms, Archimedean, Johnson, Kepler, etc.).
Basic operations of polyhedra: duality, truncation, rectification, extension,....
Curved bodies (sphere, cone, cylinder, torus, etc.) by movements in space.
Parametrized curves and surfaces.
Metric calculations on 3D figures: angles, lengths, areas, volumes, Euler characteristics, etc.
Spatial symmetries of 3D figures.
Homotheties, traslations, rotations, etc.
Geometric 3D fractals, such as the Sierpinski tetrahedron or the Menger sponge.
Generation of crystalline networks from fundamental cells.
Euler 3D graphs (Seven Königsberg bridges problem).
Hamiltonian graphs (Salesman’s problem).
Coloring graphs (based on Four colours theorem).

Featured tools:

Galleries of hundreds of pre-designed geometric figures.
Speech Recognition System to insert figures in the scenario.
File system to load and save scenes created by users.
Multiplayer tool that enables users to create, play and learn together in the same scene (beta version).
Photo camera and video recording inside the VR scene.
Lesson recording system for educational purposes (alpha version).
Exporting-importing from other known programs of 3D geometry (alpha version).
3D printing from STL files made by NeoTrie (alpha version).
Multiplatform: Available for VR headsets HTC Vive, Oculus Rift, Windows Mixed Reality.

Acknowledgments:

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3D Geometry in Virtual Reality

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