Glad to see this has gained some traction. Here is an illustration of the immediate issue for which this would have been helpful. I wanted to produce an illustration explaining lines in the hyperbolic plane using the Poincare disk model. It's the arc of a circle whose end points are on a given circle and the arc meets the given circle at right angles. (That's a lot to say but a picture makes it so much easier.)
It took me a long time and a good deal of coding in Sage to get this how I wanted. My "gut" tells me there's go to be a better way! On Thu, Apr 24, 2014 at 9:31 AM, Volker Braun <vbraun.n...@gmail.com> wrote: > We do have convex hull and lines. What would be lacking for your > application are discs and their intersection with polyhedra. > > sage: line = Polyhedron(vertices=[(0,-1)], lines=[(1,1)]) > sage: (triangle & line).vertices() > (A vertex at (8/5, 3/5), A vertex at (3/2, 1/2)) > > > On Thursday, April 24, 2014 7:02:21 AM UTC+1, Dominique Laurain wrote: >> >> I need same packages that Ed asked for. >> Nowadays I do geometry coding myself basic functions in SAGE worksheets >> (to do intersection of lines etc). >> I do this using the "Rational Trigonometry philosophy" :-)..see >> njwilderger youtube videos and book. >> Previously I played a little with Tex tools (pst-tricks and >> pst-eucl)..check about pstricks too...at that time and until now, I >> was interested with tilings. >> In SAGE we have the basics tools (vectors,matplotlib...) but I feel there >> are not the "intermediate" tools : convex hull, rules and compass >> constructions, origami tools and so on. >> I can code some (for example, convex hull: I know an algorithm "paquet >> cadeau" ...but everytime I feel to reinvent wheel. >> What is not enough with Tex is that all is static : for example, you >> cannot have the generic solution of two lines AB and CD where A,B,C,D are >> 2D points with variables coordinates...because it is no more static >> geometry but symbolic computations (solving equations / inequations). >> >>> >>> -- > You received this message because you are subscribed to a topic in the > Google Groups "sage-support" group. > To unsubscribe from this topic, visit > https://groups.google.com/d/topic/sage-support/Y0t4ShFLXJ4/unsubscribe. > To unsubscribe from this group and all its topics, send an email to > sage-support+unsubscr...@googlegroups.com. > To post to this group, send email to sage-support@googlegroups.com. > Visit this group at http://groups.google.com/group/sage-support. > For more options, visit https://groups.google.com/d/optout. > -- Ed Scheinerman (e...@scheinerman.net) -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
line-definition.pdf
Description: Adobe PDF document
