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Knot density is a traditional measure for quality of handmade or knotted pile carpets.It refers to the number of knots, or knot count, per unit of surface area - typically either per square inch (kpsi) or per square centimeter (kpsc), but also per decimeter or meter (kpsd or kpsm).
gr/yard: Grains per yard of yarn. Gr/yard is a direct measure of linear density, but is rarely used in the modern textile industry. ECC or NeC or Ne (English Cotton Count): The number of 840 yd lengths per pound. ECC is an indirect measure of linear density. It is the number of hanks of skein material that weighs 1 lb.
Fabric "weight" is often specified as mass per unit area, grams per square meter (gsm) or ounces per square yard. It is also sometimes specified in ounces per yard in a standard width for the particular cloth. One gram per square meter equals 0.0295 ounces per square yard; one ounce per square yard equals 33.9 grams per square meter.
The marla is a traditional unit of area that is used in India, Pakistan and Bangladesh. The marla was standardized under British raj to be equal to the square rod, or 272.25 square feet, 30.25 square yards, or 25.2929 square metres.
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.
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