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File:Funeral Elisabeth.jpgEdit

Yes, I own the book. I don't think it has any annotations as to which banner is whose, but I have may have that info elsewhere. Let me see what I can dig up. I know someone I can ask if I don't find anything. - PKM (talk) 00:28, 11 October 2010 (UTC)

Okay, of the four sources I was able to quickly lay my hands on, none actually discuss the banners except to say that they are the arms of Elizabeth's royal ancestors marshaled with those of their wives. There are two anonymous manuscripts; the one in color (British Library Additional MS 35324) and a pen-and-ink drawing in roll form (Addtional MS 5408). I have uploaded a higher res scan of the banners from that version here File:Eliz funeral banners bw.png (it's a bit cutoff because it actually runs into the binding of the book). I am certain that you are right; it's intended to be Cecily Neville and the artist simply mis-colored it. Marks and Payne, British Heraldry, British Museum Press 1978 say the pen-and-ink MS "has been attributed to William Camden, but it does not appear to be in his hand." I haven't yet found anything that talks about who might have made the color version. - PKM (talk) 01:32, 11 October 2010 (UTC)

Gray sequencesEdit

For future reference, I think there are 24 ways to arrange 1–7 with single bit transitions:

  • 1 3 2 6 4 5 7
  • 1 3 2 6 7 5 4
  • 1 3 7 5 4 6 2
  • 1 5 4 6 2 3 7
  • 1 5 4 6 7 3 2
  • 1 5 7 3 2 6 4
  • 2 3 1 5 4 6 7
  • 2 3 1 5 7 6 4
  • 2 6 4 5 1 3 7
  • 2 6 7 3 1 5 4
  • 4 5 1 3 2 6 7
  • 4 6 2 3 1 5 7

and their reverses. —Tamfang (talk) 00:35, 17 February 2011 (UTC)

src codeEdit

Hi. Thx for great images. Can you add src code to image ? Regards --Adam majewski (talk) 15:07, 30 March 2012 (UTC)

In the Summary field, you mean? I guess so. (First I need to figure out which programs I actually used ...) —Tamfang (talk) 17:20, 30 March 2012 (UTC)
I thought about hyperbolic tilings. --Adam majewski (talk) 17:50, 30 March 2012 (UTC)
User:Tamfang/programsTamfang (talk) 07:32, 19 May 2012 (UTC)

Hyperbolic star-tilingsEdit

Just wondering, is it possible for you to make families like (7 7/2 2) and (9 9/2 2)? (Some of the families at [1] would also be appreciated, but probably not necessary.) Double sharp (talk) 11:45, 5 March 2013 (UTC)

If it can be done by coloring a fundamental triangle and copying it, it ought to be possible to adapt my code to do so. —Tamfang (talk) 18:30, 5 March 2013 (UTC)
They can, but the colouring is problematic with overlapping faces. Double sharp (talk) 14:16, 6 March 2013 (UTC)
I made pictures for the regular ones {7/2,7}, {7,7/2}, {9/2,9}, {9,9/2}, visible at w:List of regular polytopes. Double sharp (talk) 12:26, 7 March 2013 (UTC)

"That ought to hold the little bastards for a while."Edit

Truly epic! But remember to look for all 6 nontriangular checker domains from (2p 2q 2r) groups! :) Tomruen (talk) 20:52, 7 March 2013 (UTC)

p.s. I tested the images in a table (up to 8 since not all 9's existed, no ∞ out of laziness) at en:User:Tomruen/HyperbolicVerfs2, generating en:vertex figures, with alternations but alas those unreflective brutes still live in unexplored wastelands outside of your empire. Tomruen (talk) 05:43, 8 March 2013 (UTC)

If I knew how to find the snub vertex, odd-even painting would hold no terrors (you've seen my ribbon designs, no?). I did look up how Hatch's(?) applet does it, but never got around to working out how to convert it to something I can use. —Tamfang (talk) 22:16, 13 March 2013 (UTC)
That's right, Hatch's applet doesn't compute the snub generator point, just generates edges based on a mouse position. But I'd expect the computation is not much different from the omnitruncation equal-distance center, seems like you could do an iterative search as a last resort. Tomruen (talk) 00:57, 14 March 2013 (UTC)
Another FUN idea - can you draw circle-packings like File:Truncated_rhombitrihexagonal_tiling_circle_packing.png! Or actually there's two types of packings - equal-size on uniform vertices, and variable radii circles centered on the regular polygon gaps. Tomruen (talk) 00:57, 14 March 2013 (UTC)
If that's your idea of FUN, you can adapt my code yourself ... —Tamfang (talk) 01:57, 14 March 2013 (UTC)
I hoped you'd like to do the circle patterns to add to your pretty doodle collections! Tomruen (talk) 04:35, 14 March 2013 (UTC)
They're too similar to my ribbon designs to interest me much. —Tamfang (talk) 01:32, 16 May 2013 (UTC)

Hurray for new fundamental domain checkerboards, and very kind to link equivalent tilings and duals in documentation! I don't actually know how to automate unique documentation with mass-uploading, except massive copy&paste sessions! Tomruen (talk) 19:47, 13 March 2013 (UTC)

See also User:Tamfang/sandbox (new today) —Tamfang (talk) 22:03, 14 March 2013 (UTC)

p.s. With not too much work, I used an edge-filter to isolate out the 3 sets of mirrors File:H2chess_246a.png, File:H2chess_246b.png, File:H2chess_246c.png into File:642_symmetry_mirrors.png. Maybe this can be done via SVG and circle arcs someday, but nice to work with 2520 bitmaps for quality - just had to widen lines by softening and brightening. Anyway, this coloring shows what subsets of mirrors can be removed to generate another symmetry. If there are odd-orders, all the mirrors at those points get mapped to the same color, and must be all be removed in one step. Tomruen (talk) 01:46, 14 March 2013 (UTC)

I can't decide whether that's prettier than File:Hyperbolic domains CMY 237.png. —Tamfang (talk) 01:57, 14 March 2013 (UTC)
That looks the same as what I want, except only makes continuous mirror lines for all even-order edges. My real purpose would to show BATCHES of symmetry groups with colored-mirrors and gyration points like this File:Wallpaper_group_diagram_p6m.svg (notice 2 colors of mirrors). Glide reflections are optional! :) Tomruen (talk) 04:32, 14 March 2013 (UTC)
Hi Anton. Your "chess" graphics are great. I can use edge detection to generate colored sets of orthogonal mirrors as I wanted, although I don't have alpha merging, so second image dominates near edges, especially for infinte order symmetries, like File:I32_symmetry_mirrors.png. Tomruen (talk) 20:26, 17 March 2013 (UTC)
p.s. I dumped your vertex figure collected list into a table at [2]. Thanks for it, and for your organizational work so others can better use your monstrous creations! Tomruen (talk) 00:07, 18 March 2013 (UTC)
en:User:Tomruen/tempxxTamfang (talk) 00:58, 18 March 2013 (UTC)
And en:User:Tomruen/tempxx2 filtering out nonduplicated ones. Tomruen (talk) 02:31, 18 March 2013 (UTC)


Is it possible to use your python program to make images of Quadratic laminations, which remain invariant under the angle doubling map ? See for example image of rabbit lamination. TIA . --Adam majewski (talk) 17:21, 17 March 2013 (UTC)

Probably (if by 'use' you mean 'adapt'), but I don't understand these. —Tamfang (talk) 21:42, 17 March 2013 (UTC)

Proposal to move unsorted images of hyperbolic tilingsEdit

Hello, please take a look at the discussion again. Many of images are created by you, so your opinion is welcome. — Stannic (talk) 17:08, 29 August 2013 (UTC)

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