🌀Trajectoids are 3D shapes that can follow almost any path you can imagine
🎢The mathematical algorithm behind trajectoids mimics the way a sphere rolls along a path
🌐Trajectoids can follow infinitely periodic paths, repeating the same pattern over and over again
🌈Creating two-period trajectoids is surprisingly easy and can have applications in quantum computing
🔬Studying trajectoids helps us understand the behavior of quantum particles and improve quantum computers
What are trajectoids?
—Trajectoids are 3D shapes that can roll along any path. They are created using a mathematical algorithm that mimics the way a sphere rolls on a surface.
Can trajectoids follow any path?
—Yes, trajectoids can follow almost any path you can imagine. They are particularly useful for paths that repeat the same pattern over and over again.
How are trajectoids created?
—Trajectoids are created using a mathematical algorithm that calculates the indentations needed on a sphere to trace a given path. These calculations ensure that the trajectoid follows the path accurately.
What are two-period trajectoids?
—Two-period trajectoids are trajectoids that can roll through two repeating periods in one revolution. They have interesting applications in quantum computing and can provide insights into controlling qubits.
How do trajectoids contribute to quantum mechanics?
—Studying trajectoids helps us understand the behavior of quantum particles and can provide insights into improving quantum computers. The ability to control and manipulate quantum states is crucial for advancing this field.
00:00Trajectoids are 3D shapes that can follow almost any path
02:17Trajectoids mimic the way a sphere rolls on a surface
07:11Creating trajectoids involves drawing a path and generating the shape
10:52Two-period trajectoids have applications in quantum computing
11:31Studying trajectoids contributes to our understanding of quantum mechanics
