The main developers on this project have been Omar Shehata, Joe Peterson, Tianyu Pang and Justin Pacholec. The developer docs provide a brief overview of the project structure. Check out our usage guide for everything the app can (and cannot) do: Not everything is as intuitive as it should be. Slicing a sheared 3D cube along the Y axis gives us cross sections that look like a shrinking square Until you see why the same thing happens in 3D: Slicing a sheared 4D cube along the W axis gives us cross sections that look like a shrinking cube It's not obvious why the cross sections of this sheared 4D cube look like a shrinking cube: You can always drop down one (or two) dimensions and inspect the same phenomenon. It's still hard to fully grasp high dimensional ideas like this, so another tool is dimensional analogy. The hope is that seeing objects in these two views simultanously aids understanding. Our goal was to let you view 4D objects through a projection view on the left (projected onto an intermediate 3D "screen" which is then projected onto your 2D screen) while seeing the cross sections on the right. (Right) The 3D cross-sections of the yellow hyper-plane with the 4D object (Left) Projection of a distorted 4D cube. Its original purpose was to teach an Introduction to 4D Geometry class for non-math majors. We developed this web-based viewer as our capstone project at St. Thinking about 4 spatial-dimensional geometry is fun, but it's very hard to develop an intuition for at first.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |