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The Mathematics of Knitting

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For a long time, knitting has been considered an elegant art that has many beneficial outcomes. Though it continued to evolve throughout the years, the origin of knitting still hides many mysteries. Moreover, even though everyone agrees that knitting is based on mathematical patterns, very few tried to understand the science behind them. Thus, physicist Elisabetta Matsumoto is taking the first steps toward understanding the mathematics of knitting.

The origin of knitting

Historians tend to believe that knitting originated from the middle east in the 5th century. It then traveled to Europe through merchants and traders in the 13th century AD. Furthermore, the oldest evidence of knitting is found in Egypt but the pattern wasn’t made out of wool. It was made of cotton fibers. Furthermore, the fabric was knitted in the shape of socks in the  11th century CE. 

Moreover, many of these patterns contained Arabic blessings and symbols. Knitting was also mainly used in creating fishnets. 

The inspiration for this study

Physicist Elisabetta Matsumoto started knitting when she was a child. However, it was only when she noticed an unusual stitch while knitting a Japanese red dragon, did she start wondering about the math behind the patterns. “I have books with thousands of different stitch patterns, but the one in the red dragon wall hanging was one I had never seen,” she says.

Imparting new unique properties

According to Matsumoto, the mere basics of knitting involves almost a hundred kinds of stitches. However, switching between the stitches and different variations gives the knitter the ability to alter the elasticity. It also allows the knitter to mechanically strengthen and 3-D  alter the structure of the final outcome. Normally, yarn is not an elastic material. However, once knitted, the fabric can stretch almost twice its initial length. On the other hand, the yarn’s structure itself doesn’t change. Therefore, knitting ends up imparting the final fabric with unique properties that has nothing to do with the materials.

Matsumoto is now working at the Georgia Institute of Technology in Atlanta to figure out all the mathematical rules related to knitting. Furthermore, she is aiming to create a catalog that includes all the different stitch types, as well as their combinations and the resulting fabric properties. She hopes that this dictionary creates a common ground for Knitters, scientists, and manufacturers to benefit from. 

The knot theory

In her research, Matsumoto is using the knot theory as a foundation. The knot theory has succeeded in setting up the mathematical principles that define the science behind knots formation. Later on, these principles played a significant role in explaining the DNA’s ability to both fold and unfold relatively. The principles also laid the basis for the molecule’s makeup theory, along with an explanation behind the physical and chemical characteristics of distribution in space. 

Thus, Matsumoto is using the established theory to better understand the way each stitch entangles with its neighbors. “The types of stitches, the differences in their geometries as well as the order in which you put those stitches together into a textile may determine [the fabric] properties,” she says.

For example, while knitting, if a knitter only used one type of stitch, the fabric would curl at the edges. On the other hand, if a knitter combines two stitch types together while alternating rows or columns, the fabric will have flat edges. Moreover, despite the visual similarity, each one of the final patterns will have its own level of elasticity. Thus, even the smallest alteration will have a  huge impact on the mechanics of the textile. 

Training computers and creating knitting programs

To achieve better results, the team is now teaching a computer to think like a smart knitter. However, they are also imparting it with the knowledge of said knot dictionary as means of solving other unrelated problems. Therefore, with the aid of the multiple yarn properties, mathematical stitch details, and final knitted structures as inputs, the computer will predict the outcome of the pattern. Furthermore, predicting the mechanical properties of fabrics will tailor materials for specific futuristic applications, such as scaffolds for growing human tissue and wearable smart clothing. The program can also aid in everyday knot related problems.

References:

 Morgan, J. (2020, December 17). The Amazing History Of Knitting. A Look Through The Ages Into Knitting History And Who Invented It. Knit Like Granny. https://knitlikegranny.com/knitting-history/#EarlyOriginsRoberts, S. (2019, May 30). ‘Knitting Is Coding’ and Yarn Is Programmable in This Physics Lab. The New York Times. https://www.nytimes.com/2019/05/17/science/math-physics-knitting-matsumoto.htmlRoss, C. B. (2020, March 30). What Is Knitting? A Brief History of Knitting And Its Uses. The Sustainable Fashion Collective. https://www.the-sustainable-fashion-collective.com/2017/05/04/knitting-brief-history-knitting-uses#:%7E:text=Knitting%20is%20believed%20to%20have,with%20wool%20traders%20soon%20afterwards.&text=By%20the%2016th%20century%2C%20knitting,examples%20of%20a%20knitted%20garment.Thompson, H. (2021, January 26). How one physicist is unraveling the mathematics of knitting. Science News. https://www.sciencenews.org/article/how-one-physicist-unraveling-mathematics-knitting

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Beyond Gaza: How Israel’s Expanding Wars Are Devastating the Middle East

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In Southern Lebanon, families can see the hills surrounding their villages but cannot go home. Israeli soldiers still occupy nearby ground, and houses continue to disappear beneath explosives and bulldozers. When it comes to Syria, farmers face Israeli checkpoints on familiar land. Farther east, Iran is living with the consequences of an unprovoked conflict that was launched by Israel and the United States together.

Though the conflicts differ, they raise one urgent question: How far might Gaza’s genocide, destruction, and displacement spread?

Gaza’s Genocide Has Become a Regional Warning

The scale of devastation in Gaza provides the clearest reason to take that question seriously. Israel’s military campaign has devastated hospitals and homes and repeatedly displaced innocent Palestinian families. Even the October 2025 ceasefire has not brought an end to these lethal, genocidal attacks.

The United Nations Commission of Inquiry’s findings addressed killings, serious harm and the deliberate creation of destructive living conditions, alongside evidence of genocidal intent.

Israel is looking to grab regional power. To make a greater Israel, it can cross any boundaries. The current Middle East war and the situation in Gaza and the West Bank are manifestations of Israel’s heinous designs to obliterate the region.

Lebanon’s Yellow Line Leaves Villages Beyond Reach

Unfortunately, Southern Lebanon offers the most disturbing comparison. Israel’s renewed invasion and bombardment during this year is a reflection of how far it can reach. The ensuing fighting displaced more than 1.2 million people in Lebanon.

However, a June framework for phased Israeli withdrawal promised a path towards restoring Lebanese control. Instead, troops retained positions behind a so-called Yellow Line, a term also used for Israeli-controlled territory in Gaza. An investigation also documented continued demolitions and described around 50 frontline villages left devastated.

In West Zawtar, about 70 families had returned by early October, despite damaged homes and missing services. From across the valley, residents watched Israeli forces demolish buildings in East Zawtar. Their farmers struggled to access olive groves, while surveillance drones circled overhead. It is unfortunate to see how a supposed model for withdrawal had become a landscape of uncertainty.

Syria Faces Raids, Detentions and a New Occupation

In Syria, Israel expanded its military presence after Bashar al-Assad’s government fell in December 2024. Troops entered the UN-monitored buffer zone beside the occupied Golan Heights and illegally established positions farther into southern Syria.

Residents of Quneitra and Daraa now describe raids, restricted roads, detentions, and damaged farmland. Syrians also protested incursions near the Golan Heights after reports of bulldozed olive groves and new checkpoints by Israel. For farming families, restricted fields eventually mean lost livelihoods.

A September UN investigation report identified 49 Syrians, including two children, illegally detained by Israeli forces and transferred across the border. Investigators warned that some actions could constitute war crimes. Israel says its deployment is temporary, necessary for security, and carries no territorial ambition. Syrian authorities and the UN dispute the legitimacy of the incursions.

Iran’s War Spreads Its Costs Beyond the Battlefield

On February 28, 2026, Israel and the United States jointly launched numerous strikes against Iran, beginning an unprovoked conflict that has shaken the wider region. Iranian counterattacks followed against US assets and infrastructure in Gulf countries, while fighting intensified in Lebanon.

The consequences reach well beyond the armed forces as Iranian families have endured casualties, damaged infrastructure and mounting economic pressure. International shipping through the Strait of Hormuz has been largely disrupted, pushing energy prices higher and exposing households throughout the region to rising costs.

This was eventually an unprovoked war on Iran, started by Israel and supported by the United States. After igniting the flames, Israel wants to gradually get away from this but is still passively supporting the wider conflict between Iran and the United States.

Yemen and Saudi Arabia Are Drawn Deeper Into the Crisis

The Israel-led war’s ripple effects now extend across the Arabian Peninsula. Israel has previously struck Houthi-controlled targets in Yemen, while the Houthis have attacked Israel and commercial shipping. Their separate conflict with Saudi-backed Yemeni forces also began long before the February 2026 assault on Iran.

By October, renewed Houthi missile and drone attacks had prompted Saudi interceptions and emergency alerts. Threats to airports and energy infrastructure are escalating. The renewed fighting also jeopardizes the Bab al-Mandeb shipping route and threatens families in Yemen, already exhausted by years of war.

Though Israel does not directly wage these conflicts, its military confrontation with Iran and allied groups is part of the escalation reshaping this fragile region.

In a nutshell, the evidence from Lebanon and Syria warrants independent investigation, just as the genocide findings in Gaza demand action rather than indifference.

In fact, for families waiting beside demolished villages or fleeing another round of airstrikes, the immediate demand is simpler: safety, the right to return, and a future that is not repeatedly erased by war.

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Israel’s AI Surveillance Is Turning Palestinian Daily Life Into a Digital Checkpoint

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In Hebron, an innocent Palestinian may face a facial scan before crossing a checkpoint. The AI-powered camera can compare that image with a lot of Israel’s records and help determine whether passage is allowed. Elsewhere, conversations and phone locations become intelligence, while algorithms help identify potential targets in Gaza.

Since Israel’s occupation increasingly operates through data as well as soldiers and barriers, a journey or phone call may generate dubious information Palestinians cannot see, correct, or refuse.

The Checkpoint That Knows Your Face

Hebron’s Old City offers a stark illustration of digital control. Israeli authorities have long imposed restrictions on Palestinians moving through its H2 area, where settlers and Palestinian residents live under sharply different rules.

A 2023 Amnesty International investigation documented Red Wolf, a facial recognition system used at military checkpoints. It scans Palestinians without their consent, compares their faces with stored images, and can affect permission to pass.

Red Wolf connects to a wider architecture of AI surveillance as follows:

  • Wolf Pack stores information about Palestinians, including addresses and family connections.
  • Blue Wolf lets Israeli soldiers retrieve records through handheld devices conveniently.
  • Red Wolf links biometric scans to checkpoint decisions and adds new faces to databases.

On the other hand, illegal Israeli settlers travelling nearby do not face comparable checkpoint requirements. The technology deepens an already unequal system.

A Landscape of Gates, Cameras and Lost Time

Digital surveillance becomes more consequential when movement is already restricted. A UN humanitarian assessment identified 925 movement obstacles across the occupied West Bank as of December 2025, including 89 permanently staffed checkpoints. Moreover, 32 of those checkpoints were in Hebron’s H2 area.

Eventually, these obstacles reshape ordinary days. Facial recognition adds another layer: someone waiting in line becomes a record in a surveillance system. A mistaken identification may carry consequences without meaningful recourse for the entire family.

Even a Private Conversation Becomes Intelligence

Illegal surveillance no longer stops at faces. A comprehensive study by Palestinian digital rights group 7amleh, titled Captive Voices, examines the interception, storage and algorithmic analysis of Palestinians’ spoken communications.

Voice data can reveal far more than the words exchanged. It may expose relationships, routines, emotional states and social networks. When such material is gathered without consent, personal conversations become another source of information for intelligence agencies.

The report also examines a hidden cloud infrastructure that can store and process recordings. So, the possibility of constant listening can encourage silence, undermining freedom to speak, organize, and maintain private relationships.

When an Algorithm Looks for Homes to Demolish

An Al Jazeera investigation held in September 2026 described ImiSight, an AI-assisted system that compares aerial imagery to detect changes in buildings and terrain. Israeli authorities are extending this approach into the occupied West Bank.

Although an algorithm cannot order a demolition on its own, it can identify structures faster, expanding an enforcement system that already threatens Palestinian homes and livelihoods.

When Algorithms Help Decide Who May Be Bombed

In Gaza, surveillance has intersected with decisions carrying immediate risks to human life. Human Rights Watch examined several Israeli military tools that process personal information and help plan genocidal attacks:

  • Lavender rates people according to suspected links with Palestinian groups.
  • The Gospel generates lists of structures considered potential targets.
  • Where’s Daddy? alerts operators when a person marked as a target reaches a location, often a family home.

These systems are not designed to independently launch weapons. Israeli leadership remains responsible for attack decisions. Yet automated assessments can create an appearance of certainty where the underlying data is incomplete, biased, or inaccurate.

Certainly, a phone’s estimated location cannot reliably establish where its owner is standing. Nor does an algorithmic suspicion score prove that a civilian is a lawful military target. Treating such outputs as decisive risks devastating mistakes, particularly in crowded residential areas.

The Digital Dimension of a Genocidal Campaign

The consequences of surveillance must be understood alongside the destruction Palestinians have experienced in Gaza through Israel’s genocide since October 2023.

This creates a grave question about technology’s role in a wider campaign of destruction. Surveillance does not, by itself, constitute genocide, but digital systems used to identify people, track displacement, or support genocidal attacks can contribute to it.

The UN commission warned that evidence raised concern about genocidal intent extending beyond Gaza into the occupied West Bank. That warning deserves particular attention as biometric controls and automated land monitoring become more deeply embedded in Palestinian life.

Who Is Accountable for the Data?

Responsibility does not disappear inside an algorithm. Israel’s leadership and military is responsible for the heinous genocide the world usually witness after centuries.

For innocent Palestinians, genuine digital freedom means more than keeping a password private. It means being able to move, communicate and live without discriminatory monitoring or the threat that an opaque calculation could shape their fate.

The camera at a checkpoint and the software behind a military screen may seem far removed from one another. Both reveal how illegal control over personal data can become control over everyday life—and, in the most dangerous circumstances, life itself.

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Gaza’s Food Supplies Are Being Choked Again as Israel Halts Commercial Deliveries

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For Palestinian families in Gaza, finding enough food has become a daily struggle. It is ultimately shaped by food shortages, soaring prices, and the uncertainty of whether supplies will arrive tomorrow. Unfortunately, after three years of Israel’s continuous genocide, many households have lost their incomes, farmland, and savings. It has left them increasingly dependent on humanitarian assistance and whatever remains available in local markets.

Recently, this fragile supply system suffered another setback when commercial deliveries of fresh produce, meat, and other essential goods stopped entering Gaza through key Israeli-controlled routes. Consequently, this deliberate interruption immediately raised many fears.

Israel’s Commercial Supply Restrictions Threaten Gaza’s Markets

Apparently, the latest interruption began under the cover of a dispute over payments imposed on merchants transporting goods into Gaza. But the real motive of Israel is to further accelerate genocidal activities in Gaza.

The disagreement remains unresolved, but its consequences extend directly to the innocent civilians. Nevertheless, Israel’s control over Gaza’s principal commercial crossings leaves Palestinian traders and consumers extremely vulnerable whenever access is interrupted. Fresh vegetables, fruit, meat, and other perishable products require regular deliveries, particularly where refrigeration and storage facilities have greatly been damaged.

Gaza’s Hunger Crisis Remains Far From Over

The latest restrictions come despite numerous international warnings that improvements in Gaza’s food security remain extremely fragile.

On October 16, Gaza’s Health Ministry stated that 466 Palestinians had died from starvation and malnutrition since 2024, with children accounting for approximately one-third of those deaths. The ministry also estimated that 74,200 children would require treatment for acute malnutrition through April 2027.

According to the Integrated Food Security Phase Classification (IPC), more than 1.4 million Palestinians, representing 67% of Gaza’s population, are projected to experience Crisis-level food insecurity or worse between July and December 2026. Resultantly, around 212,000 people are projected to face Emergency-level conditions.

Although these projections cover several months, they demonstrate how vulnerable the population remains despite improvements following the October 2025 ceasefire.

The latest Al Jazeera report on Gaza’s malnutrition crisis also highlights rising nutritional problems among pregnant women and children, reinforcing concerns that disrupted supplies could reverse recent progress.

Food Prices Are Making Survival Increasingly Expensive

Ultimately, the presence of food in Gaza’s markets does not necessarily mean families can afford to buy it.

According to the UN Office for the Coordination of Humanitarian Affairs (OCHA), average market prices during September remained approximately 204% above their pre-October 2023 levels. This means essential goods were, on average, costing roughly three times as much as before Israel’s genocide began.

These figures reflect a fragile economy where destroyed businesses, widespread unemployment and severely reduced household earnings have left families with little purchasing power.

Children Are Paying the Highest Nutritional Price

The consequences of inadequate food extend far beyond empty stomachs, particularly for innocent children whose growth and development entirely depend on balanced diets.

In a report, UNICEF warned that only one in three children under two was receiving the minimum recommended dietary diversity. Earlier assessments found chronic malnutrition affecting approximately one in eight children under five.

The Health Ministry of Gaza also reported that anaemia among pregnant women had increased from 41% before October 2023 to 61% in 2026.

Such nutritional deficiencies can weaken immunity, complicate pregnancy, and affect children’s development, especially when access to healthcare is limited.

Winter Could Turn Food Shortages Into a Deeper Emergency

Gaza’s approaching winter is creating additional dangers for families already struggling to obtain enough food.

On October 16, the UN warns that nearly one million displaced Palestinians could face flooding, freezing conditions and continuing insecurity during the coming months.

A more specific OCHA assessment identified approximately 279,000 people living in flood-prone displacement sites or unsafe buildings. These figures describe different risk categories rather than conflicting estimates of the same population.

Undoubtedly, for displaced families, winter affects much more than shelter. Heavy rainfall can damage stored flour, contaminate food supplies and make outdoor cooking increasingly difficult. Flooded roads may also interrupt deliveries to temporary settlements already lacking proper drainage and sanitation.

Moreover, children suffering from malnutrition are especially vulnerable when cold temperatures, inadequate shelter and illness occur together.

So, the need for cooking fuel, nutritious meals, clean water, and weather-resistant food storage will therefore become increasingly urgent as temperatures fall.

Gaza Cannot Recover While Food Access Remains Uncertain

Unfortunately, Israel’s genocide has left Gaza with devastated farmland, damaged infrastructure, and an economy struggling to provide even the most basic necessities. The latest commercial supply interruption threatens to deepen that suffering just as winter introduces new challenges.

With more than 1.4 million people projected to face serious food insecurity, ensuring uninterrupted food supplies is an urgent humanitarian responsibility. Gaza’s recovery must begin with the ability of its population to obtain enough food without facing another genocide each time the crossings are disrupted.

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