All possible interpretations of a rotation matrix in euler angles
Jun 11, 2022 · Given a rotation matrix of an object in 3d space, i'd like to find all possible euler-angle interpretations (given a rotation order xyz, and a 'max rotation' ceiling).
Extrinsic and intrinsic Euler angles to rotation matrix and back
Extrinsic and intrinsic Euler angles to rotation matrix and back Ask Question Asked 10 years, 5 months ago Modified 9 years, 4 months ago
How to prove Euler's formula: $e^{it}=\\cos t +i\\sin t$?
Aug 28, 2010 · One cannot "prove" euler's identity because the identity itself is the DEFINITION of the complex exponential. So really proving euler's identity amounts to showing that it is the …
The interconnection between Hyperbolic functions and Euler's …
Jul 16, 2018 · 0 There is one difference that arises in solving Euler's identity for standard trigonometric functions and hyperbolic trigonometric functions. The difference is that the …
What is the geometrical importance of the Euler Line?
Jul 23, 2021 · What is the geometrical importance of the Euler Line (ie, the line through the centroid, orthocenter, and circumcenter (and other points) of a non-equilateral triangle)? What …
How to convert Euler angles to Quaternions and get the same …
Oct 29, 2018 · 19 I am rotating n 3D shape using Euler angles in the order of XYZ meaning that the object is first rotated along the X axis, then Y and then Z. I want to convert the Euler angle …
soft question - Euler Vs. Diderot - Mathematics Stack Exchange
Jan 4, 2015 · The genius of Euler's "claim" lies in its facile stupidity, such that even the mathematically naive Diderot would immediately recognize it as garbage. Diderot would have …
rotations - Computing Euler angles between two 3D points from …
Computing Euler angles between two 3D points from Cartesian coordinates Ask Question Asked 3 years, 6 months ago Modified 3 years, 6 months ago
Can Euler's identity be extended to quaternions?
4 Regarding the second question, the revised form of Euler's identity using $\tau$ conveys strictly less information than the original identity, and still suffers from an unnatural choice of square …
Euler characteristic of torus - Mathematics Stack Exchange
Jun 1, 2021 · 5 We know that the euler characteristic of the torus is $0$. Let´s say I have a torus which has a quadratic hole. As far as I understood the shape of the hole doesn't make any …