![]() The three dimensions of the computer generated image have been used to represent the familiar three spatial dimensions of geometric objects as well as more esoteric parameter dimensions in higher order state spaces. The last decade has seen explosive growth of the use of three dimensional computer graphics for the display of quantitative information. I have been lurking for some time now and thought i would come round to say hi with a e~mail that one of my friends posted me. I think simplexes are real basic to modeling spacetime-especially quantum spacetime-and I am glad you've gotten interested in them! I will reply here so as not to cover your post with the attached file. Hi SketchTurner! I just saw your next two posts, where you attach a file and have your own names for the n-simplexes, and researched other people's stuff etc. If you want, ask me and i will give you some page numbers in the actual articles, they are online Some of the CDT papers have pictures of how that theory of gravity works in lower dimensions-pictures of triangles and tetrahedra and stuff, how they fit together That should get you post #88 in the quantum gravity thread, the simplex gravity stuff is like post #88 through #100 This post talks about another conference and gives a list of recent CDT papers with links She is giving a paper (with two of her students) at the Paris Einstein 2005 conference this month. Physicsįor a list of Loll students and postdocs that includes some whose photos are here Here are some photos of Loll and students from the Utrecht Inst. Other people besides Loll work on CDT but she and her students are at the center of it It is pretty fantastic that it makes 4D spacetime out of these simple buildingblocks, but you get random geometry with all kinds of shape, they even have a black hole model-several CDT black hole papers are out. Very new and works better than any other quantum gravity approach I know of (string, loop gravity, etc etc ) Loll's quantum gravity approach is called CDT (causal dynamical triangulations) but that is my own private name for them, the real name is 4-simplex I sometimes call them "pentamids" because they have 5 points. There is no other name for it in mathematics, that I've ever heard of. That is the solid "pyramid-like" thing that has 5 tetrahedrons as sides something like a breakthrough that only happened last year and is making a splash at conferences. theory of gravity (Gen Rel) and looking rather like a 4D spacetime ought to look. They do computer simulations involving some half-million building blocks and it comes out implementing Einst. Renate Loll's quantum theory of gravity builds random 4D spacetimes out of building blocks which are all approx. There is a 4D shape called a "four-simplex" Theres a 5D shape too consisting of 15 tetrahedrons (or 6 of the 4D shapes). ![]() Is there a name for a 4D shape made from 5 tetrahedrons? It also has 10 faces and 10 edges if that helps. The only problem now is that none of the shapes I've found have names as far as I know. ![]() I Made a simple model to test and it worked out right. I'm doing a little project at the moment to do with how triangles relate to tetrahedrons and I have some interesting results which have allowed me to calculate what the 4D version would look like.
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