Pizza for two or more

THE PIZZA THEOREM 

It’s time for a snack, and you and your pal are all set to share a pizza, with each of you getting half. When the pizza arrives, however, you find that the slices are not all the same size.

The pizza slicer had made four cuts with equal angles, all crossing at one point, to end up with eight slices. But the crossing point is not at the pizza’s center, so some slices are larger than others.

Mathematicians have shown there’s an easy solution to sharing the pizza evenly. They call it the Pizza Theorem. If you and your pal take alternate slices, you each automatically end up with an equal amount. It doesn’t matter where the crossing point is or which wedge you start with. 

The strategy of going around the pizza and taking alternate slices also gives each person exactly the same amount of edge crust. Nice, if you love stuffed-crust pizza.

The Pizza Theorem doesn’t work for a pizza cut into just four slices, but it does work for eight, 12, 16, 20, or any larger multiple of four. In all these cases, the sums of the areas of alternate slices are equal.

What if three of you want equal shares of a pizza? This time, you would need a pizza cut into 12 slices, with each person receiving four. For five people, you would need a pizza cut into 20 slices.

And there’s more. Suppose you have a pizza with, say, three toppings spread unevenly across the surface. As long as each topping covers a circular area and the crossing point of the cuts lies inside all three splotches of topping, the Pizza Theorem ensures that everyone sharing the pizza gets the same amount of the three toppings.

There’s nothing like math to help make sharing easier. Good thing too, because your pal gets pretty grouchy when you take more than your portion of the pie.

A real moth

WORLD’S FIRST COMPUTER BUG 

We often hear of bugs that slow or crash our computer and network systems. But learning about the world's first computer bug will bring a smile to your face. No, the first computer bug was not a technical fault but a real insect or bug.

On 9th September 1947, the first computer bug was reported at Harvard University. A team was working on their computer called Mark II. But the computer was throwing errors and was not working properly. When the computer experts investigated, they were shocked to see a real moth trapped inside. They had to remove the insect and quite literally 'de-bug' the system.

This 'bug' or computer error was recorded by Grace Hopper in a logbook. She wrote, “First actual case of bug being found.” 

The actual moth that was trapped inside the computer was also pasted on the logbook and is currently in the Smithsonian Institute of National Museum of American History. Interestingly, Thomas Edison also recorded the presence of 'bugs' in his telephone design. Though Grace Hopper may not have been the first to find a bug, she was the first to record it and also stick it in the logbook. It was probably a hearty joke that she wished to share with her colleagues. But over the years, scientists began using the term to indicate any kind of error or failure in the operation or functioning of a technical system.

Today, bugs are referred to as computing, coding, or any other technological errors. De-bugging, on the other hand, means correcting the error. But it's pleasantly amusing to think that it all started with a real bug!

Clues to Earth’s ancient past

FOSSILS 

Imagine you’re exploring a rocky hillside and spot something unusual sticking out of a stone – a spiral shell, a leaf imprint, or even a giant tooth! You may have just discovered a fossil, a piece of history that has been hidden for millions of years. Fossils are nature’s way of preserving clues from the past, showing us what plants and animals looked like long before humans arrived. But how do these ancient remains turn into stone? And what secrets can they reveal?

WHAT ARE FOSSILS? Fossils are the preserved remains, imprints, or traces of plants and animals that lived long ago. Unlike bones or shells we see today, fossils have undergone a process where minerals slowly replaced the original material, turning them into stone. Fossils come in many forms – some are as small as a grain of sand, while others, like dinosaur skeletons, can be bigger than a school bus! Not every ancient creature became a fossil. Fossilisation is a rare and special process that only happens under the right conditions. That’s why every fossil we find is like a precious puzzle piece, helping scientists understand Earth’s history. 

TYPES OF FOSSILS: Fossils come in all shapes and sizes, but they generally fall into a few main categories:• 

BODY FOSSILS – These include bones, teeth, shells and even entire skeletons that have turned into stone. They help scientists understand what extinct creatures looked like.• 

TRACE FOSSILS – These aren’t actual body parts but rather evidence of how an ancient animal lived. Fossilised footprints, nests, burrows or even preserved poop (called coprolites) tell us about an animal’s behaviour!

Not all fossils are made of rock – some are trapped in other materials like amber or ice, preserving even the tiniest details of prehistoric life.

AMBER FOSSILS – Sometimes, small insects, leaves or even lizards get trapped in sticky tree sap, which hardens into golden amber over millions of years. These fossils give us a crystal-clear look at creatures from the past!• 

PETRIFIED WOOD – When trees fall and get buried under layers of sediment, minerals slowly replace their wood fibres, turning them into colourful rock. Petrified forests exist around the world, showing us trees that grew millions of years ago.

WHAT CAN FOSSILS TELL US? Fossils are like nature’s history books, telling the story of how life on Earth has changed over time. By studying fossils, scientists (called palaeontologists) can:

RECREATE EXTINCT ANIMALS – Fossils help scientists figure out what dinosaurs, woolly mammoths, and other long-gone creatures looked like.

UNDERSTAND EVOLUTION – Fossils provide evidence of how plants and animals have changed and adapted over millions of years. For example, fossilised feathered dinosaurs helped prove that birds evolved from dinosaurs! 

TRACK EARTH'S CLIMATE – By studying fossils, scientists can tell what Earth’s environment was like in the past. Fossils of tropical plants in Antarctica show that it was once much warmer!

DISCOVER NEW SPECIES – Every year, new fossils are found, revealing animals and plants that no one knew existed. Some are small, like ancient insects, while others are giant, like the Spinosaurus, the largest carnivorous dinosaur ever found!

FOSSILS DON’T JUST APPEAR OVERNIGHT – it takes millions of years for them to form! Here’s how it happens:

BURIAL IN SEDIMENT – When a plant or animal dies, it needs to be quickly buried in mud, sand or volcanic ash. If it’s left exposed, it will decay, and no fossil will form.

MINERAL REPLACEMENT – Over time, groundwater seeps into the buried remains. The water carries minerals that slowly replace the organic material, hardening it into stone.

PRESSURE AND TIME – Layers of rock build up over millions of years, preserving the fossil deep underground.

DISCOVERY – Erosion, earthquakes or digging by scientists eventually brings the fossil back to the surface, ready to reveal its secrets!

Global Positioning System

GPS

What is GPS?

The Global Positioning System (GPS) is a satellite-based navigation system that allows users to determine their precise location anywhere on Earth. It is operated by the United States Department of Defense but is available for civilian use worldwide.

How Does GPS Work?

GPS works using a network of at least 24 satellites orbiting the Earth. These satellites continuously transmit signals, which GPS receivers (like those in smartphones, cars, and smartwatches) use to calculate location.

Steps in GPS Functioning:

1. Signal Transmission: GPS satellites send signals containing the satellite’s location and the exact time the signal was transmitted.

2. Signal Reception: A GPS receiver (in a phone, car, etc.) picks up signals from at least four satellites.

3. Distance Calculation: The receiver calculates the time it took for each signal to arrive and determines its distance from each satellite.

4. Triangulation (or Trilateration): Using distances from multiple satellites, the receiver determines its exact position (latitude, longitude, and altitude).

Components of GPS: GPS consists of three major components:

1. Space Segment – The satellites in orbit.

2. Control Segment – Ground stations that monitor and control satellites.

3. User Segment – GPS receivers used by people and devices.

Applications of GPS:

Navigation: Used in Google Maps, car navigation systems, and aviation.

Tracking: Used to track vehicles, pets, and shipments.

Surveying and Mapping: Helps in land surveys and geographic mapping.

Military Use: Used for guiding missiles, troop movements, and reconnaissance.

Disaster Management: Helps locate people in emergency situations.

Agriculture: Used in precision farming for better crop management.

Accuracy of GPS: GPS accuracy depends on various factors like signal blockage (tall buildings, mountains), atmospheric interference, and satellite positioning.

Standard GPS (Civilian Use): Accuracy of 3-10 meters.

Military and Special GPS (With Augmentations): Can be accurate up to centimeters.

Other Global Navigation Satellite Systems (GNSS): While GPS is the most well-known, other countries have their own satellite navigation systems:

GLONASS (Russia)

Galileo (European Union)

BeiDou (China)

NavIC (India)

Picture within a picture

DROSTE EFFECT 

Take a close look at this picture. The woman is holding a tray with a cup of hot chocolate and a packet of cocoa, which shows her own picture holding the same items! This creates a ‘picture within a picture’ effect.

In 1904, a newly launched cocoa tin gained a lot of attention. It featured a nurse holding a tray with the same cocoa tin and a cup of hot chocolate. If you looked closely or used a magnifying glass, the “second” picture on the tin also showed the same image. This repeating picture fascinated consumers, and the cocoa tin, made by Droste, a Dutch chocolate manufacturer, became an instant hit. This technique of repeating images within smaller insets is now known as the Droste effect.

The Droste effect is a visual form of recursion. Recursion is when something repeats itself over and over again. It is a concept used in a variety of disciplines, ranging from mathematics and computer science to art.

The Droste effect was earlier known as mise en abyme, French for ‘placed in the abyss’. It meant an infinite reproduction of an image, as when one stands between two mirrors. Renowned Dutch graphic artist M C Escher used it in many of his works, such as Print Gallery and Drawing Hands.

At one time, the Droste effect was popular in product packaging. Even today, it can be seen in some products. The Laughing Cow cheese brand for instance, has a picture of a cow wearing earrings. When seen closely, the earrings are images of the package, each with the picture of the cow!

Did the Droste effect inspire the creation of the Matryoshka doll? Not really. The Matryoshka doll developed independently in 19th-century Russia. It consists of a set of wooden dolls nesting one inside the other, with each smaller doll resembling the larger one. The Droste effect is more of a visual design concept while the Matryoshka doll is a physical object.

A World of Fun

 CARTOONS 

Cartoons are a fantastic way to tell stories through visuals, and it’s amazing to see how different cultures bring their own unique animation styles to life! Take Japan, for example, known for its anime style, which is filled with vibrant colours and intricate details that make characters feel like they’re truly alive. Shows like Naruto and One Piece are popular worldwide for their thrilling adventures, magical moments, and deep friendships from touching romances to epic battles.

In the United States, the approach is often more exaggerated and whimsical. Cartoons like The Simpsons and Sponge Bob Square Pants find humour in everyday life, with simple character designs, but their adventures are just as exciting and funny. And, of course, we can’t forget the iconic Disney cartoons and movies, which have captured hearts all over the world.

Europe also brings something special to the table with their animation styles. French cartoons, for instance, often have a beautifully artistic, charming feel. Miraculous: Tales of Ladybug & Cat Noir is just one example, blending stunning visuals with captivating storytelling. Countries like Germany and the UK also create unique animations, with a perfect mix of art and narrative that appeals to audiences of all ages.

And it’s not just these regions- South Korea, India, China, Canada, and Australia and manymore countries all have their own distinctive styles. In the end, what makes cartoons so magical is not just how they look, but the stories they tell. Which cartoon’s storyline is your choice?

Popular packaging material

BUBBLE WRAP 

Bubble Wrap was invented in 1957 by engineers Alfred W. Fielding and Marc Chavannes. Interestingly, it was originally intended to be a textured wallpaper. The two inventors sealed two shower curtains together, trapping air bubbles inside, but the idea didn’t catch on as wallpaper.

Evolution of Bubble Wrap:

1. Failed Wallpaper Idea (1957) – Fielding and Chavannes tried marketing it as a new type of wallpaper, but it didn’t sell well.

2. Greenhouse Insulation (Late 1950s) – They attempted to use it as insulation for greenhouses, but it wasn’t widely adopted.

3. Protective Packaging (1960) – IBM changed everything when they needed a way to safely ship their new 1401 computer. They adopted Bubble Wrap as protective packaging, and its real purpose was born.

4. Sealed Air Corporation (1960) – The inventors founded Sealed Air Corporation, which became a leader in protective packaging.

How Bubble Wrap is Made: Bubble Wrap is made from polyethylene plastic, which starts as small resin pellets. These pellets are melted down, formed into a thin film, and then air is trapped between two layers to create the bubbles. The size and thickness of the bubbles vary depending on the type of Bubble Wrap needed.

Types of Bubble Wrap

1. Standard Bubble Wrap – Small bubbles for general protection.

2. Large Bubble Wrap – Bigger bubbles for cushioning fragile items.

3. Anti-Static Bubble Wrap – Designed for electronics to prevent static electricity.

4. Self-Adhesive Bubble Wrap – Sticks to surfaces without tape.

5. Biodegradable Bubble Wrap – More eco-friendly and decomposes faster than traditional plastic.

Uses of Bubble Wrap

Packaging – Protects fragile items during shipping.

Insulation – Helps retain heat in windows or greenhouses.

Stress Relief – Popping the bubbles is fun and therapeutic!

Arts and Crafts – Used in paintings, decorations, and even costumes.

Medical Use – Can provide cushioning for injured areas or act as padding for medical shipments.

Interesting Facts

● Bubble Wrap was almost called "Air Cap".

●There’s an official Bubble Wrap Appreciation Day, celebrated on the last Monday of January.

●A non-poppable version was introduced in 2015 to reduce shipping bulk.

●Despite its original failure as wallpaper, Bubble Wrap became one of the most popular and satisfying packaging materials worldwide!

●The largest sheet of Bubble Wrap recorded was 8,891 square feet (set in 2015).

● NASA uses Bubble Wrap to insulate equipment in space.

●Over 240,000 miles of Bubble Wrap are produced every year—enough to wrap around the Earth 10 times!

Brand that made mobile phones popular by connecting people

NOKIA 

Nokia is the brand that played a pivotal role in making mobile phones popular by connecting people. In the late 1990s and early 2000s, Nokia became the leading mobile phone manufacturer, making significant strides in revolutionising personal communication. With its user-friendly interface, durable design, and long-lasting battery life, Nokia's mobile phones became a household staple globally. 

Their iconic slogan, "Connecting People", perfectly captured the essence of what mobile phones were becoming: tools for individuals to stay in touch with loved ones, business contacts, and the world at large. 

Nokia's commitment to accessibility and communication made mobile phones essential for everyday life. Their innovations in features like text messaging, mobile gaming, and mobile internet paved the way for the evolution of smartphones. 

Nokia’s impact on mobile communication is undeniable. It wasn’t just about making phones; it was about shaping how people interacted with technology. Their sturdy designs, legendary battery life, and innovations like Snake (one of the earliest mobile games) made them iconic.

Even though Nokia couldn’t keep up with the smartphone revolution, their influence lingers—many still fondly remember models like the 3310 or 1100, known for their near-indestructibility. And now, with some modern Nokia-branded smartphones, they’re still trying to make a comeback.

Although Nokia eventually lost its dominant position with the rise of touchscreen smartphones, it remains remembered for making mobile phones a ubiquitous part of modern society.

A Rocket-Fueled Milestone

ISRO's 1OOth LAUNCH 

India's space agency, the Indian Space Research Organisation (“ISRO"), just celebrated a super cool achievement: they've launched their 100th mission! That's like hitting a century in cricket – a huge milestone! It's a proud moment for India and a giant leap for its space journey! That's the Geosynchronous Satellite Launch Vehicle, and it carried a very special passenger : the NVS-02 navigation satellite. Think of it as a high-tech messenger, sent to help us find our way around! This rocket was launched from the Satish Dhawan Space Centre in Andhra Pradesh. This 100th launch is a big deal. It shows how far India has come in space exploration. ISRO has been working hard for years, sending rockets and satellites into space to learn more about our universe and help us here on Earth. ISRO shared the exciting news on social media, saying it's a “proud milestone for India's space journey". ISRO is also planning more missions, more discoveries, and more incredible journeys into space. They're reaching for the stars, and taking India with them!

The story behind the popular game of numbers

SUDOKU, FUN WITH NUMBERS 

When you open the puzzles page in a newspaper, have you ever wondered about those blank grids with a few scattered numbers? They're Sudoku puzzles - a global craze!

In this game, you fill in the grid with singular, unique numbers. That’s where the name comes from: su means number and doku means single. Though the name is Japanese, the puzzle was actually created by American architect Howard Garns in 1979. He called it Number Place, but it didn't gain much popularity in the US. Japanese publishers discovered it in the 1980s, renamed it Sudoku, and by 1984, it was a sensation in Japan. 

Twenty years later, Hong Kong judge Wayne Gould came across Sudoku during a visit to Tokyo. He introduced it to The Times in London in 2004, sparkling a worldwide craze. By 2005, newspapers across Europe, India, and beyond had embraced Sudoku, and the puzzle's popularity has only grown since. 

Sudoku is simple but addictive. A classic puzzle features a grid of 9 large boxes, each divided into a 3X3 grid. Your task is to fill in the empty cells so that:

1. Each horizontal row contains the numbers 1 to 9 without repetition. 

2. Each vertical column contains the numbers 1 to 9 without repetition. 

3. Each 3X3 box contains the numbers 1 to 9 without repetition. 

It's not about Math - just logic and patience. With practice, you'll get better at spotting patterns and solving puzzles step by step. 

The fun doesn't stop there! You can swap numbers for letters, symbols or pictures and still follow the same rules. Modern variants, like jigsaw Sudoku or the tricky killer Sudoku, make it more exciting. 

Remember, every Sudoku puzzle is a test of logic, persistence and problem-solving. Ready to give it a try?

Converting power into motion

ENGINES 

Watt Steam Engine 

Engines are machines that are used to change any form of energy into mechanical energy. Mechanical energy is the energy that moves an object. The different types of energy sources are potential energy, heat energy, electrical energy, chemical energy and nuclear energy. 

Steam Engine 

Steam Engines: The first steam engines were developed by Thomas Newcomen in 1731. They were the 'atmospheric' design, which means that atmospheric pressure at the top of the piston pushed it down, lifting the work object. During the Industrial Revolution, the Watt steam engine was developed sporadically from 1763 to 1775 by James Watt and Matthew Boulton. It was the first steam engine to use steam at a pressure just above atmospheric pressure to move the piston. This enabled the development of semi-automated factories in places where waterpower was not available. Development later also led to steam locomotives and the expansion of railway transportation. 

Industrial Steam Engine

Electric Motors: Electric Motors convert electrical energy into mechanical energy. These motors work through the interaction between the motor's magnetic field and electric current in a wire to generate force, which is applied on the motor. They are used in Industrial fans, blowers, pumps, vehicles and household appliances. 

Autoutomobile engine 

Automobiles: Karl Benz developed the first commercially successful automobile. His Benz Patent Motorcar in 1885 is considered the first practical automobile and the first car put into serious production. This automobile had wire wheels with a four-stroke engine of his own design, a very advanced coil ignition and an evaporative cooling system. In 1896, Benz was granted a patent for his design of the first flat engine with horizontally opposing pistons. The pistons moved in horizontal cylinders and reached the top centre simultaneously balancing each other with respect to momentum. This design was used in the Volkswagen Beetle, Citroën 2CV cars, some Porsche cars and Subaru cars.

External Combustion Engine: An external combustion engine is a type of heat engine where the internal working fluid is heated by combustion of an external source through a wall or heat exchanger. The fluid expands and acts on the mechanism of the engine to produce motion and usable work. The fluid is then cooled, compressed and reused or dumped. 

Internal Combustion Engines: Internal Combustion Engines are a type of heat engine where the combustion of fuel occurs with an oxidiser like air in a combustion chamber. This type of engine is used in vehicles. In such engines, fuel, which is a form of chemical energy, is burned. This generates heat, which causes the gases to expand and push down on the pistons in the engine, doing work. The first commercially successful internal combustion engine was created by Etienne Lenoir in 1860 and the first modern internal combustion engine was developed by Nicolaus Otto in 1876.

There are many types of internal combustion engines. They can be grouped in terms of fuel, cycle and configuration. They are typically powered by fossil fuels like natural gas or petroleum derivatives like gasoline, diesel or fuel oil. 

There are three different types of cycles. 

● Two-stroke engines produce power once for every turn of the engine. 

● Four-stroke engine cylinders produce power once for every two turns of the engine. 

● Six-stroke engine cylinders produce power once for every six turns of the engine. 

Cylinders are made of pistons and crankshaft. Any number of cylinders can be used and arranged in many configurations like a straight line, at an angle or in a circle. 

Engines in India: Cooper Corporation was the first company to manufacture diesel engines in India. Some of the best engines made in India include the Nissan 1.3-litre Turbo-Petrol, Mahindra's 1.2-litre Turbo-Petrol (mStallion) and Mahindra's 1.5-litre Turbo-Diesel. 

The magnetic marvel

FERROFLUID 

In the realm of cool and mind-bending science, there’s a substance that’s capturing the imagination of scientists and enthusiasts alike --- ferrofluid. It sounds like something out of a sci-fi movie, but this magnetic marvel is very real and has some amazing properties that make it a star in the world of material science. 

What is ferrofluid?

Ferrofluid is a special liquid that behaves in a way that seems almost magical. It’s made up of tiny magnetic particles --- usually iron compounds that are super tiny, just 10 nanometres in size --- mixed in a carrier fluid, often oil. What's really cool about ferrofluid is that it can respond to magnetic fields without clumping together. 

Unlike regular magnets, ferrofluid isn’t magnetic on its own. It becomes magnetized only when exposed to a magnetic field, transforming itself from a smooth liquid to a spiky, hedgehog-like form. When you bring a magnet close to ferrofluid, it comes to life, forming dynamic, spiky shapes that seem to dance to an invisible magnetic tune. 

The magic of ferrofluid lies in the balance between magnetism and liquid properties. The tiny iron particles are so small that they remain suspended in the liquid, thanks to Brownian motion, which is the random movement of particles in a fluid. When a magnet is brought near, these tiny magnets align with the magnetic field, creating those mesmerising spikes and patterns. 

Ferrofluid isn’t just for fancy science experiments. It actually has some practical uses in different industries:

● It is used in speakers to cool down the voice coils and prevent overheating, ensuring they don't overheat during use.

● Researchers have even built speakers filled with ferrofluid that generates sound by vibrating the particles with electromagnetic coils. This allows for unique sound effects and spatial audio experiences. 

● It finds applications in creating leak-proof seals for machinery that adjusts based on the magnetic field. This prevents dust and debris from entering delicate machinery. 

● NASA explored using ferrofluid to control fuel movement in spacecraft during microgravity conditions, though this application hasn't yet reached space. 

● There’s ongoing research for using ferrofluid in targeted drug delivery to specific areas in the body to improve treatment accuracy and minimise side effects. 

● Ferrofluids can also be found in hard drives. 

● Besides its scientific uses, ferrofluid has become a star in art and entertainment. Artists use it to craft mesmerising sculpture and interactive displays that respond to magnets. You can find ferrofluid displays in science museums, art installations and even in certain electronic gadgets. 

In the end, ferrofluid shows how science can blend with creativity. While you might not be working with ferrofluid in everyday classes, who knows  --- maybe one day you'll find yourself creating the next generation of ferrofluid art or contributing to its innovative applications. The world of science is full of surprises, and ferrofluid is a shining example of how fascinating it can be!

India’s weather tracker

INDIA METEOROLOGICAL DEPARTMENT (IMD)

On January 15, 2025, the India Meteorological Department (IMD) will turn 150 years old. 

The organisation was set up by the provincial British government in the country in 1875, and its first (Imperial) Meteorological Reporter was Henry Francis Blanford. The IMD’s genesis can be traced to the importance of the monsoons over South Asia and the formation effects of cyclones from the Indian Ocean. 

Its formation was particularly accelerated by the 1864 Calcutta cyclone, which devastated the city and left more than 60,000 people dead, and the Orissa famine that followed just two years later because the monsoons had failed. So the government at the time decided to funnel weather data collected around the country into a single set of records, managed by bespoke organisation. This organisation was the IMD. 

It was originally headquartered in Calcutta but by 1944 had moved to New Delhi. In independent India, the IMD became a member of the World Meteorological Organisation in 1949. 

The IMD currently operates six Regional Meteorological Centres, a Meteorological Centre in every State capital, plus a panoply of centres for various meteorological services. Aside from tracking and studying phenomena like rainfall and cyclones, the IMD helps record earth quakes and atmospheric pollution and generates alerts and warnings about impending anomalous weather. It also maintains a complicated communications system that collects data from a variety of sources, including ground observatories, naval vessels, atmospheric balloons and satellites. 

INDIAN MATHEMATICIAN

D. R. Kaprekar

Indian mathematician D. R. Kaprekar is best remembered for his discovery of the Kaprekar constant in 1976. The constant is the number 6174.

Take any four-digit number in which not all digits are alike. Arrange the digits in descending order and then reverse them to make a new number. Subtract the new number from the first number. If this process is repeated with the difference, eventually in about eight steps, the constant 6174 is arrived at.

Example: 4527

7542 - 2457 = 5085

8550 - 0558 = 7992

9972 - 2799 = 7173

7731 - 1377 = 6354

6543 - 3456 = 3087

8730 - 0378 = 8352

8532 - 2358 = 6174

7641 - 1467 = 6174

STATES OF CONSCIOUSNESS

Dreams 

The human brain is a very complex organ that remains active even when we are asleep, and creates vivid experiences that we call 'dreams'. 

What are dreams? In simple words, dreams are a natural phenomenon that occurs during our sleep, primarily because of the Rapid Eye Movement (REM) stage. 

The mysterious occurances of dreams are studied from scientific and psychological perspectives, and it is believed that dreams occur because of various neurological, psychological and environmental factors. 

In 'The Interpretation of Dreams', a book published by Sigmund Freud in 1899, Freud introduces the theory of unconscious to dream Interpretation. According to the father of psychoanalysis, dreams are formed because of two mental processes. The first process involves unconscious forces that construct a wish and are expressed by a dream. The second process is a form of censorship that forcibly distorts the expression of wish. 

Freud viewed all dreams as forms of 'wish fulfilment', and he stated in his work, 'The Interpretation of Dreams', that "My presumption that dreams can be interpreted at once puts me in opposition to the ruling theory and in fact to every theory of dreams..."

He believed that dreams are the window to a person’s subconscious mind and they can reveal the individual’s unconscious desires, thoughts and motivations. 

Freud had his perspectives and ideas on the occurrence of dreams, but apart from these perspectives, there are various other theories on why people dream, and some of these ideas behind the occurrence of dreams are:

● Memory consolidation: Dreams help to consolidate memories, especially during REM sleep. The brain's activity while dreaming is similar to processing the memories whilst you are awake. 

● Increase in dopamine and acetylcholine levels: During REM sleep, the levels of dopamine and acetylcholine Increases, which leads to hallucinations. 

● Emotional processing: It is believed that dreams help you process and manage your emotions. That is why at times when you are stressed or anxious, you tend to have vivid dreams, and sometimes even nightmares. 

● Sorting through thoughts are feelings: This is another theory behind why dreams occur. It is often believed that dreams help you sort through your complicated thoughts and feelings. 

● Blocking of stimuli: Dreams can help the brain block the stimuli that can interfere with your memory and learning. 

How long does a dream last?

The longevity of dreams can vary. They can last for a few seconds or even for about 20-30 minutes. Sometimes people tend to remember their dreams when they are awakened during the REM phase. Some studies also reveal that an average person has about three to five dreams per night, and some may have even seven. But these dreams are often forgotten. 

A CLEANER AND GREENER TOMORROW

Electric Vehicles

Electric vehicles (EVs) are like magical cars that run on electricity instead of petrol or diesel. They are becoming increasingly popular in India and all around the world.

What are Electric Vehicles? Electric vehicles, also known as EVs, are a special kind of car. Instead of a traditional petrol or diesel engine, these cars use electricity to move. They have big batteries inside them, just like the one in your remote control car, but much bigger!

How Do They Work? EVs work fascinatingly. They have an electric motor that gets its power from the big battery. When you press the accelerator pedal, the electric motor starts turning the wheels, and the car moves. It’s like a silent and super-fast toy car.

Why Are EVs Important? EVs are essential for many reasons. First, they are much better for the environment. When regular cars use petrol or diesel, they produce harmful gases that make the air dirty and cause climate change. EVs, on the other hand, produce zero emissions because they run on clean electricity.

Cost-Efficient: Electric cars are also cost-efficient in the long run. Though they might be a bit more expensive, they save money because electricity is cheaper than petrol or diesel. Plus, you don’t need to change the oil, and EVs have fewer moving parts, so they don’t need as much maintenance.

Help Reduce Noise Pollution: EVs are incredibly quiet, making them great for cities. Traditional cars can be noisy, but with electric cars, you can enjoy a peaceful drive without the loud engine sounds.

Charging an EV: You need to charge an EV, just like charging your tablet or phone, to make it go. You can do this at home by plugging the car into a special socket or finding charging stations around the city. Some EVs can go a long way on a single charge, just like your toy car, lasting a long time with fresh batteries.

Electric Cars in India: Electric vehicles are catching on in India too! Many car companies are making electric cars, and you can see them on the roads. The Indian government also gives incentives and support to promote EVs to make our air cleaner.

So, electric vehicles are like the heroes of the car world, helping to fight air pollution and make the world a cleaner and greener place. They are not only cool but also kind to the planet. 

WORLD’S FIRST X-RAY

Hand of Rontgen's wife

In 1895, Wilhelm Conrad Rontgen, professor of physics, University of Wurburg in Germany, was doing experiments with electrical discharges in evacuated glass tubes. 

Late in 1895, Wilhelm Rontegen was alone at night doing his experiments, this time in the dark and noticed a glow was produced on the wall, which he knew was not caused by fluorescence or visible light. He named these new, unidentified rays 'X' or if you prefer; X-rays. 

After several months of playing with his discovery he noticed that the objects placed in the path of rays cast shadows and created images on the wall. Soon after, he used a photographic plate and had his wife, Frau Rontgen, place her hand in the path of the X-rays, creating the world’s first X-ray picture. 

In 1901, Wilhelm Rontgen was awarded the very first Nobel Prize for this discovery. 

MATHEMATICIAN

Pythagoras

One of the most famous names in the history of mathematics is Pythagoras. He is recognised as the first true mathematician. Pythagoras made influential contributions to philosophy and religion in the late 6th century BC. He is often revered as a great mathematician, mystic and scientist and is best known for the Pythagorean Theorem which bears his name.

Early Life: He was born on the Greek Island – Samos in the eastern Aegean. His birth date is estimated to be somewhere in 570 BC. His father was a merchant and travelled a lot for business. Pythagoras also accompanied his father in various expeditions.

Inspiration: When Pythagoras was 18, he met Thales - the first known Greek philosopher and scientist. It was this meeting which triggered his interest in the science of mathematics and astronomy. Thales advised him to travel to Egypt and explore these avenues. Pythagoras spent years in Egypt in search of all available knowledge and received wisdom from an Egyptian priest Oenuphis of Heliopolis.

Mathematikoi: In around 530 BC, Pythagoras settled in Croton- Italy, where he founded a philosophical and religious school that instantly attracted many followers. He established and headed a society called Mathematikoi. The members of his society lived permanently together and followed strict rules. Pythagoras taught all the members of the society personally.

Pythagorean Theorem: Pythagoras has commonly been credited for discovering the Pythagorean Theorem of geometry. It is widely believed that Pythagoras or his students were the first to construct its proof. Pythagoras believed that numbers had personalities like perfect or incomplete, masculine or feminine, beautiful or ugly. He also studied properties of numbers which would be familiar to mathematicians today like even and odd numbers.

Later years: Pythagoras desired to stay out of politics, yet his society was always affected by politics. In 510 BC Croton attacked and defeated its neighbour Sybaris and there are certainly some suggestions that Pythagoras became involved in the dispute. Then in around 508 BC the Pythagorean Society at Croton was attacked by Cylon, a noble from Croton itself. Pythagoras escaped to Metapontium and the most authors say he died there. His society expended rapidly after 500 BC and its contributions to mathematics are still recognised and respected.