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2. Sierpiński carpet - Wikipedia

   en.wikipedia.org/wiki/Sierpiński_carpet

   The interior of the carpet is empty. Proof: Suppose by contradiction that there is a point P in the interior of the carpet. Then there is a square centered at P which is entirely contained in the carpet. This square contains a smaller square whose coordinates are multiples of ⁠ 1 / 3 k ⁠ for some k.

3. Knot density - Wikipedia

   en.wikipedia.org/wiki/Knot_density

   For two carpets of the same age, origin, condition and design, the one with the higher number of knots will be the more valuable. Knot density is normally measured in knots per square inch (KPSI) which is simply the number of vertical knots across one inch of carpet multiplied by the number of horizontal knots in the same area. Average knot ...

4. Units of textile measurement - Wikipedia

   en.wikipedia.org/wiki/Units_of_textile_measurement

   Textile fibers, threads, yarns and fabrics are measured in a multiplicity of units.. A fiber, a single filament of natural material, such as cotton, linen or wool, or artificial material such as nylon, polyester, metal or mineral fiber, or human-made cellulosic fibre like viscose, Modal, Lyocell or other rayon fiber is measured in terms of linear mass density, the weight of a given length of ...

5. Carpet - Wikipedia

   en.wikipedia.org/wiki/Carpet

   Carpet tiles are also available, typically 50 centimetres (20 in) square. These are usually only used in commercial settings and are affixed using a special pressure-sensitive glue, which holds them into place while allowing easy removal (in an office environment, for example) or allowing rearrangement in order to spread wear.

6. Square yard - Wikipedia

   en.wikipedia.org/wiki/Square_yard

   Comparison of 1 square yard with some Imperial and metric units of area. The square yard (Northern India: gaj, Pakistan: gaz) is an imperial unit and U.S. customary unit of area. It is in widespread use in most of the English-speaking world, particularly the United States, United Kingdom, Canada, Pakistan and India.

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8. Menger sponge - Wikipedia

   en.wikipedia.org/wiki/Menger_sponge

   Each face of the construction becomes a Sierpinski carpet, and the intersection of the sponge with any diagonal of the cube or any midline of the faces is a Cantor set. The cross-section of the sponge through its centroid and perpendicular to a space diagonal is a regular hexagon punctured with hexagrams arranged in six-fold symmetry. [8]

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