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Home OPINION

The Mathematics Hidden in Everyday Kashmir

Patterns in architecture, handicrafts, weaving, agriculture and traditional measurements

Er. Suhaib Bakshi by Er. Suhaib Bakshi
September 10, 2026
in OPINION
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A carpet can begin with code. A ceiling can be built from a pattern. A field can depend on distance, area and water. Yet counting, measurement, shape and sequence are present in all of them. In Kashmir, these ideas appear in familiar crafts, buildings, gardens, fields and traditional measurements. They shape how things are planned, made and used.

A striking example is the talim, a coded system in Kashmiri carpet weaving. A carpet design is converted into instructions for weavers. The talim records colours and the order of threads, allowing the design to be reproduced row by row. A picture becomes instructions and is recreated through weaving. The process requires counting, memory and coordination. The carpet is an organised process.

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The idea connects with how information is organised today. Computers use instructions to process information and produce results. The talim is not computer code, but the comparison helps explain its basic principle. Information is arranged in a form that can be read and followed. At the loom, instructions become memory and movement. When several people work together, a shared system keeps the pattern in order. It shows how organised information can guide a complex process.

Kani weaving makes this connection even clearer. Small wooden kanis carry different colours of thread as the weaver follows instructions. Detailed shawls can require many kanis and considerable time. The process depends on counting, order and careful placement. A small change in thread arrangement can affect the pattern. Behind the design is a system of colours, numbers, movements and repetition.

Carpet density provides another mathematical example. Carpet quality can be described by the number of knots in a certain area. If the number of knots in both directions is doubled, the total number of knots in the same area becomes four times larger. This explains why a denser carpet requires more work. The design, measurements and weaving instructions must remain consistent. The pattern is made from thousands of carefully placed elements.

Look at a khatamband ceiling and geometry becomes visible. Small pieces of wood are arranged into repeated shapes, including stars and polygons. Their placement depends on size, distance, angles and balance. Each piece must fit into the larger design. Repetition gives the ceiling its character, but it also requires accurate measurement. A craft that may first appear decorative can therefore provide a practical example of geometry and proportion.

Pinjrakari, the traditional wooden lattice, provides another glimpse of this geometry. Its designs use shapes such as triangles, squares and hexagons in repeated patterns. The craftsperson must keep spaces and shapes aligned. Sunlight passing through the openings creates patterns on nearby surfaces. As the sun moves, light and shadow change. A familiar part of a building can therefore reveal geometry, repetition, light and movement.

Traditional construction also contains practical ideas about shape and balance. In taq construction, timber runners are placed within masonry at floor levels to create a repeated structural framework. In dhajji dewari, a timber frame is divided into smaller sections and strengthened with diagonal members. Diagonal members can help make a rectangular frame more rigid. Traditional builders developed these methods through observation.

The gardens of Kashmir reveal another expression of mathematical order. Nishat Bagh is arranged in twelve terraces along a hillside, with a central water channel. The repeated levels create a clear sense of order and balance. The movement of water also depends on differences in level, slope and flow. Height and distance become part of the garden’s design. The landscape can be appreciated for its beauty while revealing planning, proportion and measurement.

Agriculture brings mathematics closer to the ground. Each saffron flower has three stigmas, and roughly 150,000 flowers may be needed to produce one kilogram of saffron. These numbers show the work behind a small quantity of saffron. The figures reveal a scale that is not immediately visible in the finished product.

The karewas add another dimension to this picture. Their soil and drainage conditions have helped make some areas suitable for saffron cultivation. Agriculture requires attention to soil, water and growing conditions. Water management also involves questions of quantity, timing and distribution. When water serves several fields, these factors become important. Historical accounts also describe water management work associated with Suyya in the ninth century, including efforts connected with the Vitasta.

Traditional measurement systems provide another link with mathematics. Twenty marlas make one kanal, while eight kanals make one acre. Historical records also mention units such as the trak and kharwar. These units helped people describe land, grain and other quantities. A shared measurement system makes it easier to describe physical resources. Such systems developed from practical needs of measurement, division and comparison.

Seen together, these examples change how mathematics can be understood. A weaver following a talim works with sequences. A craftsperson making a khatamband ceiling works with shapes and measurements. A builder using diagonal members applies geometry. Agricultural work involves distance, area, quantity and timing. Measuring land involves numbers and units. Mathematics is part of how these activities are planned and carried out.

This perspective connects learning with familiar surroundings. A carpet can show patterns and sequences. A wooden ceiling can show geometry. A traditional structure can show balance. A talim can show how information is organised. A kanal can introduce measurement. Familiar examples make mathematical ideas easier to understand by connecting abstract concepts with things people can see.

The point is this. Mathematics is not limited to classrooms or formulas. It can appear wherever people measure, count, compare, arrange and repeat. Wood, thread, soil, water and land can all become part of mathematical thinking. Practical knowledge contains ideas about quantity, shape, space, distance and sequence.

A pattern can show symmetry. A measurement can show proportion. A weaving sequence can show order. A field can show space and distance. A structure can show balance. Craft, design and everyday work can also be understood through another lens.

The mathematics is not hidden because it is distant. It is hidden in the things we know so well that we often stop noticing them. Sometimes, all it takes is a closer look.

Er. Suhaib Bakshi is a Columnist. bakshisuhaib094@gmail.com

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