MathLapse - Inscribed Angle Theorem
Submitted by Pavel Boytchev on
MathLapse Festival 2016 Winner. Experiencing the Inscribed Angle Theorem.
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MathLapse - Surfaces of Constant Width
Submitted by Bianca Violet on
MathLapse Festival 2016 Winner. Parallel planes, which touch a surface of constant width from opposite sides, have always the same distance - a generalized diameter. The movie starts with curves of constant width, rotates them between parallel lines and deforms them, keeping constant width.
For surfaces this is repeated in anaglyph stereo: A sphere is deformed into a surface of constant width with rotational symmetry. This surface tumbles in a cube, touching all faces. Three more deformations to less symmetric surfaces and their tumbling follow.
MathLapse - Recipe for a Wild Knot
Submitted by Aubin Arroyo on
MathLapse Festival 2016 Winner. A Wild Knot is a circular curve in the three-dimensional space which is infinitely knotted. In this video we show a recipe to build some kind of Wild Knots, using reflections on several spheres which are strung on a necklace.
MathLapse: Modelling an Egg
Submitted by Chloe Lo on
MathLapse Festival 2016 Winner. A MathLapse video on modelling an egg with equation and touch upon a little about conic sections.
MathLapse: Constructions by pin-and-string — conics
Submitted by Atractor on
MathLapse Festival 2016 Winner. This MathLapse illustrates a process for drawing the three conics (ellipse, parabola and hyperbola) by pin-and-string constructions.
True 4D graphs of Complex Functions
Submitted by Guido Wuyts on
Rendering complex valued functions w=f(z) as the true 4D surfaces they are in (z,w) space, ie, (x,y,u,v) space, with all four axes present in the graph.
chasing daylight
Submitted by Torsten Stier on
fractal animation short film
Hilbert marble run
Submitted by Paul REMY on
Here is a marble run inspired by the famously known Hilbert space filling curves, with this you are able to 3d print lego compatible marble run of any size.
There are 6 different models necessary to build every iteration wanted; each of them is based on the 2nd iteration of the Hilbert curves.
Solide spiral de Pascal (et son complémentaire dans le cône)
Submitted by Alba Marina Mál... on
On partage un cône en deux selon un cylindre appuyé sur un rayon et une spirale d’Archimède. Dans une lettre de 1658, Blaise Pascal étudie le solide central et trouve que son volume est une fraction exacte de celui du cône.
Pour le quadricentenaire de la naissance de Blaise Pascal, Thierry Lambre (IREM Clermont-Ferrand) reprend les détails du calcul et l’histoire associée.
Sur sa suggestion, Alba Málaga et Samuel Lelièvre le modélisent sur ordinateur lors du Fabrikathon de Nancy 2023.
Kaleidoscope
Submitted by Aubin Arroyo on
Use the camera of your mobile phone to discover the Mathematical Kaleidoscope of the Virtual Museum of Mathematics.