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- TL;DR Summary
- Prof Erik Demaine and his father have found a novel way to flatten 4d objects to lower dimensions using infinite folds
Computational geometry is a branch of computer science that deals with the algorithms and techniques for solving geometric problems. It can be used to flatten objects by applying mathematical transformations and algorithms to manipulate the shape and position of the object's vertices.
Using computational geometry allows for precise and efficient flattening of objects, as it eliminates the need for manual measurements and calculations. It also enables the creation of complex and accurate 3D models that can be flattened for various purposes, such as manufacturing or design.
Some common techniques used in computational geometry for flattening objects include affine transformations, mesh parameterization, and surface flattening. These methods involve manipulating the shape and position of the object's vertices to achieve a flattened representation.
Yes, computational geometry can be used for any type of object as long as it can be represented mathematically. This includes 2D and 3D objects of various shapes and sizes.
While computational geometry is a powerful tool for flattening objects, it does have some limitations. It may not be suitable for objects with highly irregular or complex shapes, and it may also require a significant amount of computational power and resources for more detailed and precise flattening.