From cswhiteartist@optonline.net Thu May 15 12:45:08 2014 Date: Thu, 15 May 2014 12:45:02 -0400 From: Christian White To: Tony Phillips , John Morgan Subject: Dynkin Diagram We are carving the diagram for the supergravity Lagrangian (Dynkin diagram, is that right?). I don't actually know what it represents. Are the nodes matter? Particles? I ask because, in my rendering I made them rounded in depth, like we did the planet. No one objected, but i was just guessing as to meaning. Nils is carving them as linear (v-groove circles). I can leave it like that, or round the interior like the planet. I will send pictures, let me know what you prefer. From cswhiteartist@optonline.net Thu May 15 12:58:35 2014 Date: Thu, 15 May 2014 12:58:23 -0400 From: Christian White To: Tony Phillips , John Morgan Subject: Which do you prefer? Like this? [IMAGE] Dynkin Diagram OR LIKE THIS? ( it would be rounder, because they are much smaller, and of course the lines would be connected, as they already are in above photo.)   [IMAGE] Orbitting body   [ Part 2.2, Image/JPEG (Name: "P1100331.jpg") 125 KB. ] [ Unable to print this part. ] [ Part 2.3, Image/JPEG (Name: "Orbitting body.jpg") 111 KB. ] [ Unable to print this part. ] From cswhiteartist@optonline.net Thu May 15 15:03:38 2014 Date: Thu, 15 May 2014 15:03:31 -0400 From: Christian White To: Tony Phillips Subject: Re: Which do you prefer? Yes, I realize that, but they seem to be usually represented as circles, or filled circles, I didn't know if there was a reason for that? Rather than dots? I think it is maybe an arbitrary decision either way, or maybe even a decorative question. I think I will leave them how Nils did them, then. On May 15, 2014, at 1:59 PM, Tony Phillips wrote: > Hi Christian, > I can't tell what I'm looking at because the scale is > not obvious. Also I have trouble resolving pictures > like these correctly (I see them inside-out). But > P1100331.jpg (the first) looks to me like the standard > way the diagrams are drawn. These are diagrams, so do > not correspond to any physical reality themselves. > Tony > > On Thu, 15 May 2014, Christian White wrote: > >> Like this? >> >> >> >> >> Dynkin Diagram >> >> OR LIKE THIS? ( it would be rounder, because they are much smaller, > and of course the lines would be connected, as they already > are in above photo.) >> >> >> >> Orbitting body >> >> >> From cswhiteartist@optonline.net Thu May 15 15:12:58 2014 Date: Thu, 15 May 2014 15:12:42 -0400 From: Christian White To: John Morgan , Tony Phillips Subject: Re: Which do you prefer? No, my question was whether I should round the shape inside the circle, sort of to make it one thing, like a positive dot, say. I thought I had depicted it that way in the rendering, but I just checked and see now that i was wrong; I had drawn it more or less the way it looks now. Here's the drawing: [IMAGE] On May 15, 2014, at 1:32 PM, John Morgan wrote: I don't understand the question. I do think the lines should meet the circles, but in the Dynkin diagram when there are three coming from one circlethey are mutually perpendicular, not at an angle as in the second figure. Other than this what differences are you asking about? John On Thu, May 15, 2014 at 12:58 PM, Christian White wrote: Like this? Dynkin Diagram OR LIKE THIS? ( it would be rounder, because they are much smaller, and of course the lines would be connected, as they already are in above photo.)   Orbitting body   -- Director,  Simons Center for Geometry and Physics Stony Brook University Stony Brook, NY 11794-3636 Tel. 631 632 2824 e-mail: jmorgan "at" scgp.stonybrook.edu [ Part 2.2, Image/JPG (Name: "Supergravity.jpg") 458 KB. ] [ Unable to print this part. ] From tony@math.sunysb.edu Fri May 16 22:02:46 2014 Date: Fri, 16 May 2014 22:02:46 -0400 (EDT) From: Tony Phillips To: Christian White Cc: John Morgan Subject: Re: Which do you prefer? Hi Christian, If you Google "Dynkin diagram" and select "Images" you'll see lots of them; the standard convention is open circles connected by lines, just like the first of the images you sent. Tony On Thu, 15 May 2014, Christian White wrote: > No, my question was whether I should round the shape inside the circle, sort of to make it one thing, like a positive dot, say. I thought I had depicted it that way in the rendering, but I just checked and see now that i was wrong; I had drawn it more or less the way it looks now. Here's the drawing: > > > > > On May 15, 2014, at 1:32 PM, John Morgan wrote: > >> I don't understand the question. I do think the lines should meet the circles, but in the Dynkin diagram when there are three coming from one circle >> they are mutually perpendicular, not at an angle as in the second figure. Other than this what differences are you asking about? >> >> John >> >> >> On Thu, May 15, 2014 at 12:58 PM, Christian White wrote: >> Like this? >> >> >> >> >> Dynkin Diagram >> >> OR LIKE THIS? ( it would be rounder, because they are much smaller, and of course the lines would be connected, as they already are in above photo.) >> >> >> >> Orbitting body >> >> >> >> >> >> -- >> Director, Simons Center for >> Geometry and Physics >> Stony Brook University >> Stony Brook, NY 11794-3636 >> Tel. 631 632 2824 >> e-mail: jmorgan "at" scgp.stonybrook.edu > > From cswhiteartist@optonline.net Sat May 17 07:44:14 2014 Date: Sat, 17 May 2014 07:44:04 -0400 From: Christian White To: Tony Phillips Subject: Re: Which do you prefer? Yes, that is how I left it. On May 16, 2014, at 10:02 PM, Tony Phillips wrote: > Hi Christian, > If you Google "Dynkin diagram" and select "Images" > you'll see lots of them; the standard convention is > open circles connected by lines, just like the first > of the images you sent. > Tony > > On Thu, 15 May 2014, Christian White wrote: > >> No, my question was whether I should round the shape inside the circle, sort of to make it one thing, like a positive dot, say. I thought I had depicted it that way in the rendering, but I just checked and see now that i was wrong; I had drawn it more or less the way it looks now. Here's the drawing: >> >> >> >> >> On May 15, 2014, at 1:32 PM, John Morgan wrote: >> >>> I don't understand the question. I do think the lines should meet the circles, but in the Dynkin diagram when there are three coming from one circle >>> they are mutually perpendicular, not at an angle as in the second figure. Other than this what differences are you asking about? >>> >>> John >>> >>> >>> On Thu, May 15, 2014 at 12:58 PM, Christian White wrote: >>> Like this? >>> >>> >>> >>> >>> Dynkin Diagram >>> >>> OR LIKE THIS? ( it would be rounder, because they are much smaller, and of course the lines would be connected, as they already are in above photo.) >>> >>> >>> >>> Orbitting body >>> >>> >>> >>> >>> >>> -- >>> Director, Simons Center for >>> Geometry and Physics >>> Stony Brook University >>> Stony Brook, NY 11794-3636 >>> Tel. 631 632 2824 >>> e-mail: jmorgan "at" scgp.stonybrook.edu >> >>