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geometric

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer.
Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Gauss' Theorema Egregium ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied intrinsically, that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry.
Later in the 19th century, it appeared that geometries without the parallel postulate (non-Euclidean geometries) can be developed without introducing any contradiction. The geometry that underlies general relativity is a famous application of non-Euclidean geometry.
Since then, the scope of geometry has been greatly expanded, and the field has been split in many subfields that depend on the underlying methods—differential geometry, algebraic geometry, computational geometry, algebraic topology, discrete geometry (also known as combinatorial geometry), etc.—or on the properties of Euclidean spaces that are disregarded—projective geometry that consider only alignment of points but not distance and parallelism, affine geometry that omits the concept of angle and distance, finite geometry that omits continuity, and others.
Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a problem that was stated in terms of elementary arithmetic, and remained unsolved for several centuries.

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  1. J K Tiling Cornwall

    Advice needed, floor sinking.

    I have a customer who has an original tiled Victorian hallway. In geometric quarry tiles. There is a section that has recently dropped and flexes when walked on. The two rooms that run next to the hallway have suspended timber floors. The section that has sunk sounds and feels like it could be...
  2. M

    Tessellated geometric floor planner needed

    I'm looking for a decent geometric floor planner program/resource and having a little trouble finding anything useful on the net. My client has bought loose tiles with no floor plan. I'm not sure who she got them off, but apparently its a small firm that furloughed the only geezer in the office...
  3. Boggs

    Moroccan and geometric style floors

    I have a customer looking for a Moroccan or geometric style floor in her bathroom. Any chance of some pics of ones you’ve completed and where the tiles were from as it might help her visualise the finished job. Thanks :)
  4. Lou

    AOS Tiling - City Of London Tilers

    AOS Tiling | Tilers in City of London I am a professional floor & wall tiler servicing clients in South London & Surrey. Working independently as a professional craftsman, I take great pride in my work and very much believe that if a job is worth doing, then it’s worth doing well. I also do...
  5. T

    USA Victorian tile restoration

    I have problem and would like some help or advice. We have a victorian home in Saint John NB. At some point, the homeowner carpeted over a beautiful victorian black and white marble floor in the portico. I tried everywhere to figure out how to remove the mastic stuck on the floor. So today I...
  6. T

    Replacing single victorian tile

    Hello, before I attempt it and apart from loads of care and patience, are there any tips or techniques for removing and replacing a single tile (2 1/4 inch) from a victorian floor. Usual thing, there's not much grout to play with, they're tightly packed. Thanks TN
  7. T

    Timeless Tiling Solutions | Victorian / Encaustic Geometric Tiling Specialist - Tyne and Wear Tiler

    Timeless Tiling Solutions | Victorian Encaustic Geometric Tiler / Tiling Specialist Timeless Tiling Solutions are based in Newcastle in the North East of England. However, we provide our services nationwide and can even travel abroad if required. We've just recently completed a Victorian...
  8. O

    Victorian tile porch/step entrance

    Hello, I'm about to lay the porch area, it's very small 890mm x 470mm. I have the Victorian tiles and have layed it out and it's the right fit. Now I'm wondering what to do at the grout stage, most advise sealing first then grouting. Clean and seal again. However because mine are outdoors...
  9. T

    Pictures Victorian tiles hallway

    Hello, am trying to complete a Victorian tiled hallway (pic attached), loads of questions to make sure I get it right. I didn't hack through the floor to lay the pipework, previous owners did! Floor is part solid, part suspended ceiling over cellar. New joists have been installed and are rock...
  10. T

    Cleaning loose geometric tiles

    Hello I am attempting to restore a Victorian tiled floor myself, lack of funds demands that. Have seen a number of threads talking about cleaning tiles when fixed, but how do I clean a large number of tiles that were loose when the carpet was lifted. There's a mixture of adhesive, grout, glue...
  11. M

    London Path tiling with Victorian mosaic tile sheets

    We have some Victorian-style mosaic tiles which we need laid on our front path. They are on mesh-backed sheets so no need to lay individual tiles. Each sheet is 30cm x 30cm. There is a concrete base in place, but this has a crack in it so would need to be levelled beforehand. The whole area...
  12. D

    Poor laying of Victorian tiles?

    Hi, I’m having somevictorian tiles laid down our front path and up the front door and have seen that the tiles don’t go flush with the wall. I would say there between a 10 to 20mm gap between wall and tiles. The builder says that the wall isn’t straight which it probably isn’t but I’ve raised...
  13. S

    Exterior substrate For Victorian tiles.

    I’m pricing a job which is 26m2 of front garden path to be tiled with old English geometric tiles. The old concrete path will be taken up, and a new base putting down. I will be getting a firm in to do this work, but I want the best solution for the base, that will take these tiles without...
  14. Dadsiphone

    Victorian floor tiles

    Hi, anyone done any original style flooring ? I’ve done a few but I always do my own layout and setting out. So just wondering how you other tilers do it Sid
  15. R

    Uneven hardiebacker on victorian terrace bathroom floor

    Hi there - so i have ripped up the old tiles and old layer of ply and cork. Replaced with 12mm hardiebacker screwed in along with a layer of adhesive between the backer and the floor. There is some discrepancy of maybe 5mm between aome of the boards. Do i need to start again? Im using flexible...
  16. B

    Pictures External Victorian path... Alderley Edge

    Well I was forced into screeding (sand and cement) this today... at 7:45am....... contractor stated it needs to be done and he will stand the cost if it fails...... Talked him out of it for starting the tiling until the spring to see if the base lasts...... No parking.... it was totally dark...
  17. T

    Pictures Victorian Geometric Hallway.

    Victorian Geometric Hallway Flooring. Geometric Floor Tiling by Timeless Tiles John. Nothing straight, nothing level, carpet fitters, painters and every other trade walking around me! Almost lost the will to complete till today. Dark pictures at 8.00 tonight but big floor to start tomorrow.
  18. Boggs

    Suppliers of Victorian geometric tiles

    I am looking to source some original/reproduction geometric tiles, I have found sites like original style etc but wondered if anyone on here had contacts or a good source of reclaimed floors that won’t normally be found by searching google. I only need around 2sqm, it’s for my own house and...
  19. L

    Cleaning Victorian Hallway

    Whats the going rate to clean and seal a victorian hallway approx 7sqm ingrained dirt little bit of paint, not been properly cleaned in 18 years? Best sealer to use they dont want a shine but like the look of it when they mop it?
  20. S

    Hydroflouric acid drips on Victorian tile path

    Hi all. Im working on a house with a Victorian tile path that leads from the front gate to the front door. I have used hydroflouric acid to clean the brickwork of the house however i have noticed some drips on the pathway that have dis coloured the tiles so you can see the drip marks. Is there...
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