Quaternions are one of at least two ways to model rotations in a 3D space. Most people are familiar with the classic Euler angles which cover yaw, pitch, and roll.

We study stationary homogeneous solutions to the 3D Euler equation. The problem is motivated by recent exclusions of self-similar blowup for Euler and its relation to the Onsager conjecture and ...

Figure 2. Euler angles and rotations Euler Colored Maps The Euler colored maps provide a basic presentation of the microstructure. There are however limitations of the Euler maps. One drawback is that ...

This video explains the different rotation modes in Blender. Most animators will want to stay with the default "XYZ Euler." For further reading look up a concept called Gimbal Lock. Made with ...

We prove existence on infinite time intervals of regular solutions to the 3D Navier-Stokes equations for fully three-dimensional initial data characterized by uniformly large vorticity; smoothness ...

Convex integration techniques have been used to produce solutions with precise regularity, which are necessary for the resolution of the Onsager conjecture for the 3D Euler equations, or solutions ...

Adobe shows off 3D rotation tool for flat drawings Project Turntable uses machine learning to craft posable 3D models from 2D vectors.