Symmetries in a snow crystal - MathLapse

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Symmetries in a snow crystal - MathLapse

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Snow crystals have many beautiful symmetries.

We can reproduce a snow crystal from a smaller part using a pair of mirrors with angles 180° (that is, a single flat mirror), 120°, 90°, 60° or 30°. No other angle works.
We can also rotate the crystals by multiples of 60° and get a perfect copy which can be superimposed to the original crystal.

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Inside Neural Numbers

Asymmetric rock-paper-scissors-lizzard-Spock equation on the sphere

Transition from 3-branched to 5-branched spirals in the Rock-Paper-Scissors-Lizard-Spock equation on the sphere

The rock-paper-scissors-lizard-Spock reaction-diffusion equation on the sphere

Spirals in the rock-paper-scissors equation on the sphere

Vorticity of spirals in the rock-paper-scissors equation on the sphere

Rock-paper-scissors reaction-diffusion equation on the sphere

Allen-Cahn equation on the sphere

Waves with cubic symmetry on the sphere, 2d projection

Waves with octahedral symmetry on the sphere, 2d projection

Waves with dodecahedral symmetry on the sphere, 2d projection

Waves with icosahedral symmetry on the sphere, 2d projection

Waves with cubic symmetry on a sphere

Waves in a Julia set on the Riemann sphere, 2d projection

Waves outside a disconnected Julia set on the Riemann sphere

Waves with octahedral symmetry on the sphere

A meteor impact in the North Atlantic

Waves in a Julia set on the Riemann sphere

Energy flux of waves with dodecahedral symmetry on the sphere

Visualization of 4-dimensional regular tilings

Waves with icosahedral symmetry on the sphere

Waves with dodecahedral symmetry on the sphere

Symmetry Animated

Rotating view of cluster growth in Bernoulli site percolation on a cubic lattice

Cluster size distribution in Bernoulli site percolation on a cubic lattice

Cluster growth for Bernoulli site percolation on a cubic lattice

Zooming out of percolation configurations on a lattice of triangles

Zooming out of percolation configurations on a honeycomb lattice

Cluster size distribution in Bernoulli site percolation on a Poisson disc process

Bernoulli site percolation on a Poisson disc process

Cluster size distribution in Bernoulli bond percolation on a square lattice

Cluster size distribution in Bernoulli site percolation on a lattice of triangles

Cluster size distribution in Bernoulli site percolation on a honeycomb lattice

Number of clusters for Bernoulli site percolation on a honeycomb lattice

Bernoulli bond percolation on a honeycomb lattice

Site percolation on a lattice of triangles

Bernoulli percolation on a honeycomb lattice

Bernoulli bond percolation on a square lattice

Transition from 3-branched to 5-branched spirals in the Rock-Paper-Scissors-Lizard-Spock equation

Rock-Paper-Scissors-Lizard-Spock reaction-diffusion equation

The Allen-Cahn equation on the two-dimensional torus

A circular lens, wave height and cumulative energy in 3D

But what is a Neural Network?

MENACE: the pile of matchboxes which can learn

Ceramic tiles and geometry

Maps of the Earth

Release of the Documentary Film: "IMAGINARY Uruguay: A Mathematical Journey"

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Maths Week at Work

secret alphabets

JSBach333 - canone permutativo al triangolo from BACH333 - Canon Composition Competition 2018

Gerhard Widmer on Expressive Music Performance, the Boesendorfer CEUS, and a MIDI Theremin

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Geometry and Imagination Exhibition Video – ICM2018

Journeys of Women in Mathematics

Bach Mass B Minor Canon

MathLapse: String vs Beads

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Virtual Reality Exhibition of Imaginary

The measurement of spaces

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Geometry of Architecture

EUHFORIA: modeling the dangers of the sun

The math of the shells

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Drone in Greenland

Promotional video on ordinary differential equations

The Penrose-Riemann Connection

Costa Surface Animation

Defining Manifold

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PLATO on LSD - a MathLapse into the Ideal World

The Seven Geese Groups - MathLapse

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Connect the Dots

Symmetries in a snow crystal - MathLapse

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MathLapse - Wind Generated Waves

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MathLapse - Monge's Theorem

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Universal Standing Wave Principle Mathlapse

MathLapse – Cybernetic Self-Similarity

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