3D printing technology, which is provoking an explosion of creativity and innovation reflected in advances in science, arts, industry, medicine, engineering and many other fields, is the theme of the exhibition 3D: Printing the Future ( 3D: Imprimindo o Futuro, in portuguese), held at the Museum of Astronomy and Related Sciences (MAST, Rio de Janeiro) inaugurated on May 31.
As a result of a partnership between MAST and the British Science Museum, the exhibition is comprised of more than 100 original models and several printed models from research developed by leading Brazilian institutions.
Among them, nine models compose a stand curated by Visgraf Lab (that belongs to the Institute of Pure and Applied Mathematics, IMPA) with the purpose of showing how geometric concepts like curvature, 4-dimensional spaces and hyperbolic geometry can be understood through 3D models.
The stand is called “Visualizando a Matemática através da impressão 3D” and reflects the research of Henry Segerman in his book Visualizing Mathematics with 3D Printing.
The stand is divided in three groups of 3D printing models: Tilling and curvatures, Four-dimensional space and Hyperbolic plane.
Four 3D models of surfaces with positive, zero and negative curvatures
Four 3D models that represent projections of three dimensional objects
Putting a point light source at the equator of the hemisphere model casts the upper half plane model as a shadow
Exhibition opening images