Here are three more responses to the query about computer graphics for liftings of paths.........DMD _______________________________________________________ Date: Sun, 20 Dec 1998 23:03:53 -0500 From: rrb@math.wayne.edu (Robert Bruner) Message-Id: <199812210403.XAA07658@steenrod.wayne.edu> To: dmd1@lehigh.edu Subject: Re: response re computer graphics It depends on what you want to do. Xfig is great for hand drawings, and its ability to 'snap-to' pixels allows you to get quite clean results. It will output the results in eps format for incorporation into TeX files. Bob Bruner Wayne State University ______________________________________________________ Date: Mon, 21 Dec 1998 08:47:12 -0300 (ART) From: Mariano Suarez Alvarez Subject: Re: response re computer graphics On Sun, 20 Dec 1998, DON DAVIS wrote: > Date: Mon, 21 Dec 1998 11:35:10 +0900 > From: Andrzej Kozlowski > Subject: Re: computer pictures > > The best program for this purpose I know of is Mathematica, but it takes > some time and effort to learn to use it. To see the sort of things that > can be done take a look at the illustrations in "Three-Dimensional > Geometry and Topology" by W.P. Thurston. The best way to learn > Mathematica graphic programming is (probably) from "The Mathematica > Graphics Guidebook" by C. Smith and N. Blachman. There is also Geomview, from The Geometry Center (U. of Minnesota), see http://www.geom.umn.edu/software/geomview/ It's great if one wants to do animations en 3d (and 4d, 5d, etc!), although it is only able to display pictures/animations, and not generate them. It can communicate with Mathematica, though, and display its graphic output. Mariano Suarez Alvarez Departamento de Matematica - Universidad Nacional de Rosario Pellegrini 250 - Rosario 2000 - Argentina El autor no responde de las molestias que puedan ocasionar sus escritos: Aunque le pese El lector tendra que darse siempre por satisfecho. Nicanor Parra, `Poemas y antipoemas' (Advertencia al lector) ----------------------------------------------------------------------- Date: Mon, 21 Dec 1998 12:59:31 +0000 (GMT) From: Ronnie Brown cc: toplist , TECCONS ENMAG GROUP COS R RAJGOPAL Subject: Re: computer pictures In-Reply-To: <199812201832.NAA74728@ns2-1.CC.Lehigh.EDU> Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII > Subject: from a topology student needing help > > > Hi.My name is Ambica Rajagopal.I am an undergraduate student in > mathematics at an Indian university,Birla Institute Of Technology And > Science,Pilani. > Last semester I did an introductory course in general topology.Since I > took to the subject I am doing a further course in algebraic topology > next semester. > For an upcoming academic festival I would like to do the following: I would not know how to do what you propose, which looks quite ambitious, if very interesting. You might like to look at the Maths and Knot web site below. We were trying to use Knots to show to the general public some basic methods of mathematics. An analysis of the methods shown is given in the commentaries on the individual pages. It is more important to think about what kind of message you are intending to give on mathematics, than to go for `we will show this...'. Our knot boards and pages evolved over a period of four years as we tried to reconcile `It would be good to show this...' with `Why are we trying to show this?'. The message is more important than, or should dictate, the medium. Our conclusion was also that maths suffers, and students suffer, from a lack of analysis of methodology. For a discussion of this see the article R. Brown and T.Porter, ``The methodology of mathematics''. This is a version of the article in Math. Gazette, 79 No 485 July, 1995, 321-324. available from http://www.bangor.ac.uk/~mas010/publar.html (which also has `Making a mathematical exhibition' by the same authors). Ronnie Brown Prof R. Brown, School of Mathematics, University of Wales, Bangor Dean St., Bangor, Gwynedd LL57 1UT, United Kingdom Tel. direct:+44 1248 382474|office: 382475 fax: +44 1248 383663 World Wide Web: home page: http://www.bangor.ac.uk/~mas010/ New article: Higher dimensional group theory Symbolic Sculpture and Mathematics: http://www.bangor.ac.uk/SculMath/ Mathematics and Knots: http://www.bangor.ac.uk/ma/CPM/exhibit/welcome.htm