Thanks. I've seen some of that, but it looks like they use the upper half-plane model for visualization (while my preference is for Poincare disk). Also, I want to do other geometric constructions/visualizations in Sage (see attached pics) for which commands to create segments, then get perpentidular bisecting lines or angle trisectors, would make life much easier. (I did this in Sage, but had to work from scratch.)
On Thursday, April 24, 2014 5:43:57 PM UTC-4, Peter Bruin wrote: > > A certain amount of work on adding functionality for hyperbolic geometry > to Sage has been done in recent years, see here: > > http://trac.sagemath.org/ticket/9439 > > There seem to be several different implementations by different authors; I > am not sure about the status of all this work and how much of it is > relevant to what you want to do. > > Peter > > > Op donderdag 24 april 2014 18:54:32 UTC+1 schreef Ed Scheinerman: >> >> 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 <[email protected]> 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 >>> [email protected]. >>> To post to this group, send email to [email protected]. >>> Visit this group at http://groups.google.com/group/sage-support. >>> For more options, visit https://groups.google.com/d/optout. >>> >> >> >> >> -- >> Ed Scheinerman ([email protected]) >> > -- 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
tangent-ring.pdf
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morley.pdf
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circum-out.pdf
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