Hyperboloid of revolution - Hyperbolic plane - Klein bottle - Menger Sponge - Oloid - Sierpinski tetrahedron - Stanford bunny - Villarceau circles -- Various
In geometry, Villarceau circles are a pair of circles produced by cutting a torus obliquely through the center at a special angle (from Wikipedia).
Construction period: May 2016 - July 2016, more details here.
We built the Stanford bunny out of Lego pieces for the
long night of science 2016.
A hyperboloid of revolution of one sheet. The strings are straight lines. For any point on the surface, there are two straight lines lying entirely on the surface which pass through the point. This illustrates the doubly ruled nature of this surface. From Wikipedia
Construction period: Feb. 2015 - March 2015, more details here.
In mathematics, the Menger sponge is a fractal curve. It is a three-dimensional generalization of the Cantor set and Sierpinski carpet. It was first described by Karl Menger in 1926, in his studies of the concept of topological dimension, see Wikipedia.
Instructions from the institute for figuring. Card cube instructions.
Construction period: May 2014 - July 2014. No glue was used! More details here.
was built during the long night of science 2014.
2013, more information of the discoverer of hyperbolic crochet Daina Taimina on the homepage of the Crochet Coral Reef project.
An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929. It is the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes, so that the center of each circle lies on the other circle. The distance between the circle centers equals the radius of the circles. One third of each circle's perimeter lies inside the convex hull, so the same shape may be also formed as the convex hull of the two remaining circular arcs each spanning an angle of 4π/3. From Wikipedia
Construction period: Autumn 2017.
2014, 2017, no glue was used!
Match Circle - they see me rolling
including a 12-unit stellated octahedron and a 30-unit stellated icosahedron made of Sonobe modules, furthermore, a truncated icosahedron.
No glue was used!
Johannes Kepler Universität Linz, Institut für Angewandte Geometrie, Altenberger Str.69, 4040 Linz