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.
Prime Geometry: A New Way to Visualize Prime Numbers
Submitted by Akenkou Errachdi on
This animation illustrates a deterministic geometric construction generated from the sequence of natural numbers. Each integer contributes one circular arc to a continuous trajectory. Prime numbers rotate the direction by 90° counterclockwise, while composite numbers rotate it by 90° clockwise.
The video shows the construction evolving step by step, making it possible to observe how simple local rules generate increasingly complex global geometric structures.
The Hidden Geometry of Prime Numbers
Submitted by Akenkou Errachdi on
Geometric visualization generated by the Prime Geometry algorithm using deterministic turning rules based on prime and composite numbers.
Prime Geometry – Deterministic Geometric Construction Using a 120° Turning Rule
Submitted by Akenkou Errachdi on
Prime Geometry generated by a simple deterministic rule based on prime numbers. The gallery illustrates the same construction at different scales.
Prime Geometry: A Deterministic Geometric Representation of Prime Numbers
Submitted by Akenkou Errachdi on
A collection of computational visualizations exploring deterministic geometric constructions generated from integer sequences. The images illustrate how simple local turning rules based on prime and composite numbers produce complex global geometric structures.
Prime Geometry after 9500000 Integers
Submitted by Akenkou Errachdi on
Geometric visualization generated from a deterministic prime-number turning rule.
The image shows the trajectory obtained after processing the first 9500000 integers. Prime and composite numbers determine the orientation of successive circular arcs, producing a continuous geometric structure.