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| | Heritage Tiling & Restoration Co. - References |
 | | In February this year, Heritage Tiling were invited to outline their work as part of a seminar on 'Specialist Contractors' which was held for the Greater Manchester Conservation Officers Group and other interested parties. |  | | The nature of the work required great patience, as well as some artistic ability in restoring the face of St Thomas, for which no photographs had ever been preserved. |  | | The seminar included a visit to the restoration work carried out at the Library and that carried out by Heritage Tiling, and Restoration was well received by the Group and considered of a high standard. |
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http://www.heritagetiling.com/ref.html
(1279 words)
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| | The Geometry Junkyard: Tilings |
 | | This building in Melbourne uses the pinwheel tiling as a design motif. |  | | See also his even more Escherian tesselations page. |  | | Escher-like tilings of interlocking animal and human figures, by various artists. |
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http://www.ics.uci.edu/~eppstein/junkyard/tiling.html
(1759 words)
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| | American Mathematical Monthly, The: Heesch's Tiling Problem |
 | | The tiling problem for arbitrary protosets was shown to be undecidable by Berger in [1] and later by Robinson [16]. |  | | This means that there are space tiles with Heesch numbers 0 through 5. |  | | The author would like to thank Chaim Goodman-Strauss for all of his help and guidance, Robert Dawson for providing an image of his Heesch number 3 example, and George Martin and the anonymous referees for their many helpful suggestions, corrections, and comments on improving the exposition and mathematics of the paper. |
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http://www.findarticles.com/p/articles/mi_qa3742/is_200406/ai_n9452479/pg_2
(1272 words)
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| | Tiling Magic |
 | | TILE means if you use an image in your background, the image will repeat itself across and down the page. |  | | The number of times it repeats on the page depends on the size of your image. |  | | You can create tiled images in your background. |
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http://www.net4tv.com/net4tv/u2u/TILING3.HTM
(370 words)
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| | Photoshop Tutorial: Tiling Backgrounds |
 | | This is a great technique for creating backgrounds for you web site of for creating images for you desktop. |  | | This is what my picture looked like after I had all the seams covered up. |  | | Now if you were to tile this picture all the edges would match up, but of course you would still have that ugly cross section right in the middle. |
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http://www.moesrealm.com/photoshop/tiled.html
(614 words)
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| | ABC-Dir: Tiling |
 | | Specialists in mosaics and tiling, murals, trompe l'oeil and fine art painting originals. |  | | This chaotic tiling consists of two equilateral pentagons, with angles (80, 160, 60, 140, 100) and (40, 200, 60, 100,... |  | | Supplier of tiling products and accessories serving both the trade and public. |
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http://www.abc-directory.com/view/tiling
(168 words)
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| | Heritage Tiling & Restoration Co. |
 | | I enjoy all aspects of my work, however I lean heavily towards restoration of Victorian wall & floor tiles. |  | | I am passionate about my work it is crafts-based and not book learnt. |  | | This Practice is included in the Conservation Register |
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http://www.heritagetiling.com
(272 words)
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| | Penrose Tiling |
 | | Phi also gives 5-fold symmetry in 3D with a single shape, known as a quasi-crystal. |  | | This is accomplished by creating a set of two symmetrical tiles, each of which is the combination of the two triangles found in the geometry of the pentagon. |  | | You can buy acrylic puzzles of Penrose darts, kites and tiles and other pentagon-based shapes at Kadon Enterprises. |
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http://www.goldennumber.net/penrose.htm
(429 words)
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| | Lori's Web Graphics: The Seamless Tiling Effect |
 | | This is the setting you'll want for Windows wallpaper, for example, or for a Paint Shop Pro Pattern. |  | | Open an image that you want to use as the basis for your seamless tile. |  | | It works particularly well with heavy-textured, natural materials like the one I use here. |
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http://loriweb.pair.com/8seamlesstiling.html
(426 words)
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| | Hyperbolic and Spherical Tiling Gallery |
 | | This is a spherical tiling of an icosahedron subdivided into a geodesic dome. |  | | This is supposed to be a hyperbolic tiling where each vertex is surrounded by a 7-gon and two hexagons. |  | | This is seven equilateral triangles which have been subdivided uniformly in hyperbolic space. |
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http://bork.hampshire.edu/~bernie/hyper
(292 words)
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| | Non Periodic Tiling of the Plane |
 | | This following set of six nonperiodic tilings were "discovered" by Roger Penrose around 1973. |  | | The following six tiles are attributed to Richard Robinson who in 1971 reduced a 104 aperiodic tile set by Robert Berger (they were a reduction from a set of originally 20426) to just six tiles. |  | | In 1966 Robert Berger showed that it was not possible to determine whether a particular set of tiles would tile non periodically! |
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http://astronomy.swin.edu.au/~pbourke/texture/nonperiodic
(610 words)
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| | Aperiodic Tilings |
 | | This approach is commonly used with Penrose Tilings. |  | | This tiling is based on one of Kepler's figures. |  | | For a long time it was believed that all sets of tiles that covered the plane must tile periodically, but in 1964 Robert Berger found a set of tiles that do not. |
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http://www.uwgb.edu/dutchs/symmetry/aperiod.htm
(967 words)
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| | Polyomino, polyhex and polyiamond tiling |
 | | Their tiling properties may be studied similarly to those of polyominoes and polyhexes; results through the 9-iamonds were published by Gardner from his correspondence. |  | | (Part of Hilbert’s 18th problem supposed that there were no anisohedral tiles in two dimensions (the first was found by Heesch in 1935) and asked for one in three dimensions.) After this are left over the non-tiling shapes. |  | | Their tiling properties may be studied similarly to those of polyominoes; results through the hexahexes were published by Gardner from his correspondence. |
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http://www.srcf.ucam.org/~jsm28/tiling
(1220 words)
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| | Rozmiarek Home Page: Tiling |
 | | More pictures of the tiling can be found in the house photo album. |  | | This week the tile layers had been hard at work. |  | | We found that the tile for the entry way, dining room, kitchen and utility room had been completed. |
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http://www.rozmiarek.info/archives/000153.html
(484 words)
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| | GameDev.net - Tiling in OpenGL |
 | | This article is not meant for the complete OpenGL newbie. |  | | This is where the actual "tiling" takes place, and a square is rendered at the correct location with the correct texture (texture[tile]). |  | | This is the array that holds our map data. |
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http://www.gamedev.net/reference/articles/article1256.asp
(978 words)
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| | Tiling puzzle - Wikipedia, the free encyclopedia |
 | | This page was last modified 12:50, 1 March 2006. |  | | Some tiling puzzles ask you to dissect a given shape first and then rearrange the pieces into another shape. |  | | Tiling puzzles may be made from wood, metal, cardboard, plastic or any other sheet-material. |
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http://en.wikipedia.org/wiki/Tiling_puzzle
(150 words)
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| | NASAexplores 5-8 Lesson: (Teacher Sheets) |
 | | Using what they learned from the article, allow them to work in groups to come up with their best designs for the dimple pattern. |  | | Tiling is like covering a floor with shapes; the pattern must cover the entire surface. |  | | Remember to point out that the pattern repeats and has no gaps between shapes. |
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http://www.nasaexplores.com/show_58_teacher_st.php?id=030103103647
(258 words)
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| | Tiling Applets |
 | | This is a diamond shaped region composed of squares covered with ordinary dominos. |  | | This region takes even longer than a fortress to form, but the variety of local patterns that emerge make it worth the wait. |  | | of these kinds of tilings, refer to our scrapbook of pictures. |
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http://www.math.wisc.edu/~propp/tiling/www/applets
(113 words)
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| | Introduction to Symmetry (Science U) |
 | | This is just a more technical way of saying that wallpaper tilings are really symmetric. |  | | Wallpaper tilings are the ones that have really big symmetry groups. |  | | The fact that there are exactly seventeen wallpaper groups is a wonderful and bizarre mathematical fact. |
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http://www.scienceu.com/geometry/articles/tiling/wallpaper.html
(996 words)
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| | The Dark Underworld of Texture Art |
 | | Many made to tile and work as non-detail surfaces. |  | | Non tiling, all made from source photos I took around new york. |  | | As a texture artist with the Q3F dev team I had the opportunity to design the Front User Interface (FUI) and the in-game Heads Up Display (HUD) for this deservedly popular & extremely fun modification of Quake 3 Arena. |
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http://subverse.planetquake.gamespy.com
(390 words)
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| | Tiling problems and spectral sets |
 | | This is a major open problem known as the periodic tiling conjecture. |  | | This means that it is not permitted to rotate the tile, use its symmetric reflections, or use more than one tile. |  | | This actually seems to be a difficult and interesting problem (another way of saying that the 1-dimensional methods do not work). |
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http://www.math.ubc.ca/~ilaba/tiling.html
(2058 words)
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| | Tiling for Optimal Resource Utilization |
 | | This statement, written by the organizers, was included with the invitations to the particiants. |  | | A Dagstuhl Seminar (no. 98341) on Tiling was held 24-28 August 1998 with thirty six participants from seven countries. |  | | A collection of abstracts of all of the lectures, made publicly available. |
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http://www.irisa.fr/cosi/Rajopadhye/tiling
(196 words)
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| | Computer Software for Tiling |
 | | Spherical tilings can also be realized as polyhedra. |  | | Program for interactively generating and drawing aperiodic tilings generated by substitution rules, and computing Fourier transforms of their vertex sets. |  | | Tilings are created by reflections in mirrors that surround a fundamental triangular region that has been divided into three subsections by line segments concurrent at a point in the region. |
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http://www.geom.uiuc.edu/software/tilings/TilingSoftware.html
(702 words)
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| | Tiling Rectangles With Polyominoes |
 | | He can only assume there were two sets of pieces, some left-handed and some right-handed, and somebody used pieces from either set, as he wished, to tile the rectangle. |  | | I wrote such a program in 1987, and was the first to discover that this shape does indeed tile a rectangle, and its order is 92. |  | | If you are familiar with the Hex ™ puzzle, which has been on the market for decades, you already know the 12 pentominoes well. |
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http://www.eklhad.net/polyomino
(1470 words)
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| | Stephen Collins - Penrose Tiling Generator |
 | | The ratio of the side length of new rhombi to that of their "parent" rhombus is equal to the Golden Mean (1.618033...). |  | | For a more technical description of the work, done with Tohru Ogawa of the University of Tsukuba, Japan, see the published article. |  | | Equally, no matter how large the tiling, there are always Flowers which extend tantalizingly beyond the perimeter. |
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http://www.stephencollins.net/web/penrose
(1797 words)
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| | Tiling courses |
 | | Throughout the course you will be encouraged to take photographs of your work. |  | | The emphasis will be on gaining practical experience; however some of the time will be spent with a tutor giving you an understanding of the elements of the trade. |  | | You will cover the same areas as with the two week course and then you will cover the following in weeks 3 and 4. |
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http://www.steptotraining.co.uk/tiling_fourweek.shtml?ref=DIYPlace_co_uk
(1357 words)
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| | The Math Forum: Catalog of Isohedral Tilings by Symmetric Polygonal Tiles |
 | | This link leads to the interactive JavaSketchpad version of the sketch in which one or more vertices is highlighted. |  | | Further details on each of the tilings (as well as their construction) can be found in the article cited at the top of this page. |  | | However, the remaining tilings are highly flexible, with the shape of the tile able to be deformed in a continuous manner to assume a variety of distinct shapes. |
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http://mathforum.org/dynamic/one-corona
(513 words)
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| | About the Penrose Tiling |
 | | This tiling was discovered by Sir Roger Penrose. |  | | This is deBruijn's original paper, hard to read. |  | | The Penrose tiling that forms the background of my home page is 48x64 units in size, where the "unit" is the edge length of the polygons, a total of 800x600 pixels. |
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http://www.math.ucla.edu/~jimc/mathnet_d/penrose.html
(232 words)
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| | BBC Homes - DIY - DIY guide - Tiling Walls |
 | | BBC Homes - DIY - DIY guide - Tiling Walls |  | | These squash down flat when the tiles are pressed into place. |  | | Then place a length of wood alongside the row and mark the tile positions on it in pencil. |
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http://www.bbc.co.uk/homes/diy/diy_guide/factsheets/48.shtml
(708 words)
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| | Pinwheel Aperiodic Tiling (Melbourne Federation Square) |
 | | The properties of this tiling were discovered and named by Charles Radin of the University of Texas in 1991 and first published in 1994 in the Annals of Mathematics number 139, page 661-702. |  | | This infinite tiling of the plane is known to be aperiodic, that is, there is no parallelogram shaped region that can be repeated to form the same tiling. |  | | A periodic tiling is one where it is possible to make a parallelogram (generally larger than the tiles) that can be repeated to produce the same tiling. |
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http://astronomy.swin.edu.au/~pbourke/texture/pinwheel
(397 words)
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| | Seamless Tiling in Photoshop: a Tutorial by Janee |
 | | Parts of your tile that "stand out" will look repeated in your final result, which, in this case, is not desirable. |  | | Here, we will take an image and make it into a seamless tiling, that is, so that we can't tell where the pieces join togetner. |  | | Continuing in the pattern series, this third tutorial deals with tiles, which are no more than a more complex application of a pattern. |
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http://www.myjanee.com/tuts/tilings/tilings.htm
(661 words)
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| | Math Forum: What Is a Tiling? |
 | | No, these rep-tiles aren't living things, although some of you might be thinking of the figures in some of M.C. Escher's work. |  | | Another special kind of tiling or tessellation is Penrose tiling named after the British physicist and mathematician, Roger Penrose. |  | | The Math Forum is a research and educational enterprise of the Drexel School of Education. |
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http://mathforum.org/sum95/suzanne/whattile.html
(196 words)
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| | Introduction to Tilings (Science U) |
 | | Wallpaper groups are sets of rules for building highly symmteric tilings froma single piece. |  | | This page takes a closer look at repeating, or periodic tilings. |  | | Penrose tilings are aparticularly famous family of nonperiodic tilings. |
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http://www.scienceu.com/geometry/articles/tiling
(233 words)
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| | A New Penrose Tiling Picture |
 | | A new Penrose tiling picture of quasicrystals emerges in which the structure is determined entirely by a single repeating cluster which overlaps (shares atoms with) neighbor clusters according to simple energetics. |  | | The isomorphism between decagons and Penrose tilings can be realized by inscribing each decagon with a large Penrose obtuse rhombus tile marked with single- and double-arrows, as illustrated in Fig. |  | | 15] first conjectured that decagonal tiles with appropriately chosen overlap rules can force a perfect quasiperiodic tiling and she outlined a proof. |
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http://wwwphy.princeton.edu/~steinh/quasi/node2.html
(1006 words)
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| | McKenzie and Flynn - Tiling |
 | | Interlocking tiles are available from many manufacturers in a wide choice of profiles, colours and textures |  | | As the name suggests, these tiles are manufactured such that they lock into each other at each side and top and |  | | Which consists of essentially small flat tiles individually fixed to the roof timbers. |
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http://www.mckenzie-and-flynn.co.uk/tiling.html
(286 words)
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| | wu :: forums - Rhombi Tiling |
 | | Maybe this is being naive but Barukh's drawing has 3/12 or 25% of the rhombi as squares... |  | | A regular polygon with 100 sides of length 1 is subdivided into rhombi with sides of length 1. |  | | I've attached a visualization of the possible tiling of the 12-gon. |
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http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_hard;action=display;num=1098666620
(298 words)
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| | Penrose Tiling |
 | | This quilt spent many years in a dresser drawer because we didn't have a way to hang it. |  | | Jos Leys' Geometry Galleries Very pretty patterns including Penrose tilings. |  | | An way of precisely covering an infinite plane with a fixed set of shapes. |
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http://dogfeathers.com/quilt/penrose.html
(378 words)
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| | Seamless Muted Tiles in PSP8 - Using PSP 8 from JASC |
 | | Seamless tiling is used for many things, such as backgrounds for web pages, patterns and textures. |  | | There are several people that aren't involved in the Newsgroups or don't have the time to read all of the posts, I write this tutorial for you. |  | | Direction can be either horizontal, vertical, or bidirectional. |
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http://moonsdesigns.com/tutorials/psp8/seamlesstiling.html
(892 words)
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| | B and B Brothers Tiling Brighton Brighton West Sussex Quality and Affordability |
 | | This site is and also covers Quality, Tiling Brighton and Floors and Walls |  | | We have been responsible for many tiling projects from small domestic jobs to major commercial developments and we are more than happy to provide references from our past works. |  | | B and B Brothers Tiling Brighton Brighton West Sussex Quality and Affordability |
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http://www.reason8.com/clients/Tiling-FloorsandWalls-Brighton-Quality
(189 words)
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| | Tiling Tips and News tiling around electrical outlets |
 | | This may reveal the operators tiling around electrical outlets credentials The fastest way to determine who owns the tiling around electrical outlets website is to look on the 'about' page or 'contact' page. |  | | Are you in search of the best opinion in relation to tiling around electrical outlets. |  | | The details should divulge some key points concerning the owner's requisite knowledge. |
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http://www.tiling-tips.info
(250 words)
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| | Tiling : Tile Layers - Australia & New Zealand |
 | | Ensure that there are sufficient tiles to complete your job. |  | | Tiling : Tile Layers - Australia & New Zealand |  | | There is no guarantee extra tiles of the same colour / shade can be supplied at a later... |
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http://www.homeone.com.au/tiling
(37 words)
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| | ufindus.com - Tiling And Ceramics |
 | | We have been established in Essex since 1997 and provide tiling solutions to many of the household names in home building, including Barratts, Taylor Woodrow, Bellways, Persimmons and Bovis Homes. |  | | With over 25 years experience, AG Ceramics specialise in ceramic tileing and natural stone to an exceptionally high standard. |  | | MG Tiling in Barnsley are leading specialists covering all aspects of tiling. |
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http://www.ufindus.com/C_tiling_and_ceramics
(1056 words)
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| | Pentagon's tiling |
 | | A pink or green pentagon tiles the plane with particular topology for the particular value of an other angle. |  | | The green pentagons are members of two family and they link an only web-page. |  | | We want to consider all the equilateral pentagons that, for the particular values of their angles, tile the plane with different topology. |
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http://www.geocities.com/liviozuc/pentagons.html
(177 words)
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| | Tiling links |
 | | Penrose Tiles from Eric Wiesstein's World of Mathematics |  | | Escher Web Sketch Java program for drawing pictures with the 17 wallpaper groups |  | | Penrose Tiling Generator A program called Bob, which will inflate rhombic Penrose tilings, and more |
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http://www2.spsu.edu/math/tile/links.htm
(137 words)
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| | tiling.org |
 | | The name "tiling.org" came about because my first Java project (alhambra) was concerned with plane tilings. |  | | Feedback on anything on this site is always welcome - contact me via email: tom at tiling dot org. |  | | I have been writing Java full time since 1996 using most of the standard and enterprise Java APIs: from client Swing GUIs and graphics to backend messaging systems. |
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http://www.tiling.org
(122 words)
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| | Belfast Tiling Service, Northern Ireland |
 | | All work is guaranteed for the lifetime of the tile installation. |  | | Just mention the website when you contact us. |  | | Domestic and contract tiling are available, no job is too small or too big. |
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http://www.belfasttiling.co.uk
(90 words)
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| | DIY, carpentry, tiling, painting, bathrooms, kitchens diy |
 | | Use a pencil-point tile-cutting tool to scrape out hard grout, and a piece of bent wire if the grout is soft. |  | | OR Tile saw - is a blade that fits into a hacksaw for cutting irregular shapes |  | | When buying tiles, it is a good idea to buy extra tiles to replace those that are damaged in the future, and your particular tile is no longer available. |
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http://www.freddyfixit.co.za/tiling/xtile.htm
(334 words)
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