User talk:Rocchini

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[edit] Rose

Hey Rocchini. Just wanted to say "well done" with that graphic for the Rose. It looks really nice. Cheers, Doctormatt 08:36, 6 November 2006 (UTC)

[edit] Cat

Chapeau Claudio! Nice contribution to the article Arnold's cat map. JocK 19:14, 9 November 2006 (UTC)

[edit] Dipole graph

I just wanted to thank you for the image you added to Dipole graph. I've been meaning to make one but couldn't find a nice tool to do it with--and my skill at MS Paint isn't sufficient for the task. Do you mind if I ask what tool you used to make the image? I'd like to be better prepared in the future. --Sopoforic 05:00, 28 November 2006 (UTC)

[edit] Spherical cap

Excellent job on the image, it helps the article, and I appreciate it. The same for your other math images. —Ben Brockert (42) 05:45, 29 November 2006 (UTC)

[edit] SVG

I asked previously which tools you use to create images, and you recommended Inkscape, which I have found quite satisfactory. I notice, though, that you've been uploading your images in GIF format. If you've still got the SVGs you used to make those images, you should upload them directly, since they'll look much nicer, and be more useful besides. If you've not got them, you should still keep it in mind for the future. Thanks for your work, in any case. --Sopoforic 01:46, 10 January 2007 (UTC)

[edit] Honeycomb images

Hi! Great images for the uniform polychorons. I've been expanding the Coxeter-Dynkin diagram. I also saw your rcent nice cell-uniform tessellation at Disphenoid tetrahedral honeycomb. I'm wondering if you could make a similar tessellation image for the dual of: Cantitruncated cubic honeycomb. I don't have a name for it, but this tetrahedral space-filling dual should represent the fundamental domains for Coxeter's S4 infinite group. Does this make sense? I'm still getting the hang of things. Thanks for considering! Tom Ruen 06:24, 24 January 2007 (UTC)

[edit] excellent image at braid theory

I will certainly remember you for the next time I need a nice image! --Chan-Ho (Talk) 13:38, 28 January 2007 (UTC)

[edit] Hyperbolic tilings

Hi Rocchini!

Great new images on Hyperbolic great cubic honeycomb!

I've also been wishing to expand the 2d hyperbolic tiling as well, but I don't have software that can generate the uniform duals: See blanks at List_of_uniform_planar_tilings#Uniform_tilings_in_hyperbolic_plane

They are all similar topology to the Euclidean tilings. Coloring the duals is unclear since they have identical faces. I wouldn't even mind if they are single-colored faces with dark edges.

Maybe they are "too easy" for you, but it thought I'd ask. I'm glad for where ever you can help!

Tom Ruen 23:15, 5 February 2007 (UTC)

for a moment I have made the common image Order3_heptakis_heptagonal_til.png ,

but I not undestand how to insert in the List_of_uniform_planar_tilings#Uniform_tilings_in_hyperbolic_plane page. Because in the original tilining the color is per face, in the dual tiling I have colored the surface per vertex.

Thanks Rocchini! Sorry on the template confusion. The source (database) is at: Template:Uniform_hyperbolic_tiles_db. I added it for your example. I don't mind how it is colored, although best to have a full set of vertex-colorings if you could repeat them all that way. Thanks again! (I also linked image at Triangular_tiling) Tom Ruen 21:07, 7 February 2007 (UTC)
Can you make the nonreflective snub form duals? Explained a bit here for a flat tiling: Snub_square_tiling - creating an omnitruncation and then delete alternated vertices? Don Hatch does this in an interesting way in an Applet at Hyperbolic Planar Tesselations by Don Hatch but no colors. Tom Ruen 21:13, 7 February 2007 (UTC)
Wonderful work! Thanks! I thought tonight the (5 4 2) family would be a useful example as well betond the (4 4 2) tilings. Could you try those as well? I left open image links at:List_of_uniform_tilings#.285_4_2.29_family. Tom Ruen 07:42, 10 February 2007 (UTC)
Hi Rocchini. Thanks again for your great images. I saw I made a mistake on omnitruncated dual tiling names, not a kis operation. I replaced it with term bisected for (5 4 2) group (Image:Order-4 bisected pentagonal tiling.png) and will update the rest when I have time. So at least you can continue on List_of_uniform_tilings. Thanks again! Tom Ruen 02:36, 14 February 2007 (UTC)
Wow! All so beautiful! I found one more family to complete a good demonstrational survey of the hyperbolic tilings
Euclidean --> hyperbolic
(6 3 2) --> (7 3 2) - Hexagonal/heptagonal (DONE)
(4 4 2) --> (5 4 2) - Square/pentagonal (DONE)
(3 3 3) --> (4 3 3) - Triangular/square (started)
What do you think of the last one? I just linked (4 3 3) at List of uniform tilings. Tom Ruen 23:05, 15 February 2007 (UTC)
I suppose that a nice coloring rule of duals is related to some property of the tessellation (Symmetry group?), but i not understand how. User:rocchini 20 February 2007 (UTC)
I don't have a simple rule for coloring dual faces by symmetry. Since they are all face-transitive, the lowest coloring is ONE color! There's probably many colorings for each limited by the symmetry orders. It is nice when all neighboring faces are different colors. Your choices have been beautiful! :) Tom Ruen 18:06, 20 February 2007 (UTC)
A small issue: The Image:Uniform dual tiling 433-t01.png tiling is a wonderful 3-color pattern, but incompletely applied near edges. I tried to fix it but couldn't do it nicely with antialiasing. Tom Ruen 19:14, 20 February 2007 (UTC)
Hi Rocchini. Looks like you're busy, me too! I just thought to add a simple white tiling image for the final snub (Image:Uniform dual tiling 433-snub.png) would be great whenever you have the time. Thanks! Tom Ruen 07:46, 28 February 2007 (UTC)
Thanks for finishing the last hyperbolic dual snub tiling. I had one other snub I couldn't make easily on a larger uniform survey (without duals) at Wythoff symbol - need Image:Uniform_tiling_443-snub.png similar to Image:Uniform_tiling_433-snub.png. I left an open link for it at Wythoff symbol.
I'm also very glad for more 3D hyperbolic tilings too! It would be fun to try some truncated versions, like table at Truncation_(geometry)#Truncation_in_polychora_and_honeycomb_tessellation ... probably need an "inside perspective" to show them. Tom Ruen 23:52, 1 March 2007 (UTC)

I have worked 5 days (and povray 12hours) for this hyperbolic awful image. I try to remake it in the next week.

I don't know how you do any of it, and it all seems beautiful to me. Much glad for your work. Peace and thank you! Tom Ruen 10:01, 2 March 2007 (UTC)

[edit] Image:Cayley graph formula 2 4.gif listed for deletion

An image or media file that you uploaded or altered, Image:Cayley graph formula 2 4.gif, has been listed at Wikipedia:Images and media for deletion. Please look there to see why this is (you may have to search for the title of the image to find its entry), if you are interested in it not being deleted. Thank you. – Tintazul msg 23:42, 20 February 2007 (UTC)

I have to add: you make such wonderful images for Wikimedia! Thank you for that. Although I should ask, if whenever possible, you could make those images available in vector format. I use Inkscape, which ias fairly easy to use. This is the case now: I have redrawn your image completely in SVG, keeping to the original colours and structure as much as possible. If you have any doubts, please contact me. Ciao! – Tintazul msg 23:42, 20 February 2007 (UTC)

Thanks for this work! I generate the original image via agg graphics library (this library save only raster image), and i am too much lazy to remake this image.

[edit] Hypercube graphs?

Hi Rocchini! If you'd like a little challenge for your to-do list, I'd like to flesh out some graphs for the n-hypercubes, like done for the simpler families: simplex and cross-polytope. Mathworld offers some graphs, although I do NOT know the pattern for adding "rings" of new vertices - maybe lots of possibilities? See:[[1]]. Well, just thought I'd point it out. I could try myself sometime since graphics is easy, but theory of positions a mystery. I added a hexeract stub along with penteract. Hey, another source of graphs [2] - maybe they're actually certain views of an orthogonal projection? Tom Ruen 06:39, 16 March 2007 (UTC)

Wow! Thanks! You're fast! If you're interested another fun class are the demihypercubes. I added a graph column there. Tom Ruen 19:57, 16 March 2007 (UTC)

[edit] E6,7,8 graphs?

Hi Rocchini! Thanks for the hypercube/demi graphs. What do you think of the E6 polytope {32,2,1}, E7 polytope{33,2,1}, E8 polytope {34,2,1} graphs? I have pictures from a book, but don't really understand the structures. Can you reproduce these in SVG? Image:E6_graph.png, Image:E7-8 graphs.png Tom Ruen 08:40, 26 March 2007 (UTC)

Example of E8 drawing at: [3] (dense!) Tom Ruen 01:44, 27 March 2007 (UTC)