Let’s use the method called Verlet Integration to create simple physics simulations. We are going to implement complex features like collision detection. Just by combining simple dots and lines, we will make a skeleton for a dancing doll like this.
The spherical harmonics are the eigenfunctions of the Laplace operator $\Delta$ on the round 2-dimensional sphere. From this perspective, they are a generalization of the familiar functions $\sin(n x),\cos(nx)$ on the circle, which are eigenfunctions of the 1-dimensional Laplacian $\frac{d^2}{dx^2}$. Unlike $\sin$ and $\cos$ which are determined by a single number (their frequency), spherical harmonics are parameterized by a pair of invariants $\ell,m$. For each non-negative integer $\ell$, there is a spherical harmonic $Y_{\ell m}$ for each integral $m\in[-\ell,\ell]$.
Here, we show you how to load complex animated models and add them to your scene. These models were originally created in Blender and exported in glTF format.
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