The purpose of this post is to systematically derive the corresponding parametric equations and implement them in Python for visualization using Manim and Matplotlib. The goal is not only to understand these curves analytically but also to see them come alive through animation.
The sphere is of radius 4 units, it is hardcoded to the parametric equations. The parametric equations are as follows:
If you check the code, you can see that the latitude and longitude of the sphere are reoriented. The reason is for the sphere to fit the Manim's camera settings.
The orientation of the camera was done by trial and error until I found a view that I wanted.
A cylindrical surface of radius radius 4 and axis on the xz-plane and at a distance of 1.5 units from the xy-plane. The thickness of the cylinder is 4 units and the curvilinear length is half the circle.
Below is the Python code for the logo. The image generated by Manim is transparent PNG file and the colors are suitable for dark background.
This transfer of Drupal site is when changing a web host company. The same process when transferring to a machine within the same web host but do not include the server configuration.
Command format: scp -r file origin destination
Important
Make sure you have the right credentials for every remote server you are working. You need the right pair of username and password of each machine for a successful transfer.
Recent comments