13 posts tagged with "animation"

Spirograph-like curves arise from simple sums of rotating vectors; a tiny tweak in frequency or phase yields striking patterns.

I've made a video recently on one of my favourite methods for solving Newton's equations. It is available on YouTube Shorts 🎥

It wasn't clear to me if this is worth a full article or just a short comment. Let me start with a supplementary material for the video first, and then we shall see...

Developers log

It is clear, that not everyone is happy with WLJS rendering engine. Some styles might be different or look different from the traditional Mathematica's plots. For this reason we have MMAView allowing to use built-in raster rendering engine of Wolfram Engine.

But is it possible to animate things or use Manipulate together with MMAView?

using GeoData, surface plot, and a bunch of other beautiful stuff

Have you ever played Outer Wilds? The planets there are incredibly beautiful. This actually became the main motivation to create my own simple model of a planet, using real geographical elevation data and a bit of Wolfram Language magic.

You've likely seen videos featuring animated bar charts with a timeline, where the bars dynamically shift and overtake each other

Another raster animation. Now without OpenCL, pure WL and Compile

Using Wolfram Language and WLJS

In this notebook we will apply some optimizations to the code, expand the resolution and switch to immediate mode of graphics rendering.

Here we will solve simple 2D wave-equation and visualize it in realtime using polygons

Here is a short code snippet for atom (artistic-vision) animation

It is quite tricky to make an efficient function for plotting dynamic 3D surfaces, which change with time using a high-level code such as Wolfram Language.

I have been always amazed by a fascinating procedural animation using in some games like Rain World. The key feature there is that you define sort of a target points for a model and a clever algorithm figures out the way how each bone or "leg" will move to achieve the goal. This is a common problem of kinematics. Let's start with the simplest approach

The notebook focuses on tracing and animating the contours of GIF images using WLJS Notebook.

Firstly, import as a usual file

Now in imgs we have a sequence of images. In our case this is a dinosaur

the source is unknown, sorry

This notebook delves into quantum mechanics with a focus on symbolic quantum operators and spin-Hamiltonians. It begins with setting up orthogonality rules and defining the linear properties of basis functions.

Next, we investigate the spin-Hamiltonian for a cubic system with doubly degenerated orbital states, particularly focusing on $Fe^{2+}$ ions in cubic spinels with $^5E_g$ states. The Hamiltonian for a paramagnetic state is presented and implemented in code, followed by defining basis vectors and functions to find eigenvalues and eigenvectors, and calculating thermal averages of quantum operators.