mesmerising Gangtok !!

 

nice pictures make people happy; some make the photographers too happy !!

mesmerizing Gantok taken a few years ago !!!

Flowers - Lily, Lotus, Pundarika ~ Triplicane - Homer, Tennyson !!!

 

Heard of Nelumbo & Lilium  !  “Lotus & Lily”  - everyone of us know that our  divyadesam got its name from the sacred pond full of lily flowers “allikkeni” in association of Sri Parthasarathi Emperuman becoming Thiruvallikkeni.  [see the last line too!!]

The Sanskrit word “Puṇḍarīka (पुण्डरीक) -  is a well-known Sanskrit word for the lotus, particularly the white lotus.”  Puṇḍarīka occurs in the Ṛgveda, and later Vedic texts and Upaniṣads use lotus imagery. The Atharvaveda and Chāndogya Upaniṣad, for example, use the lotus in imagery associated with the human heart.  And this gives the lotus one of its most enduring Indian ideas:

It grows in mud, rises through water, yet emerges unstained.

That became a natural metaphor for purity amidst worldly existence. The lotus is therefore not merely a beautiful flower in Indian literature. It becomes a metaphor for Lakshmi, Saraswati, Brahma, Sriman Narayana/ Krishna, the human heart, the eyes of the divine, beauty, purity and spiritual detachment.  There is long-standing association of the sacred lotus with divinity, immortality and purity in Hindu and Buddhist traditions.

Puṇḍarīkākṣa (पुण्डरीकाक्ष) means:

“He whose eyes are like the white lotus.”

The Mahabharata repeatedly uses Puṇḍarīkākṣa for Krishna. When we hear “lotus” in Western literature, the first great reference is usually Homer's Odyssey.

Odysseus and his men arrive at the land of the Lotus-Eaters in Book IX. The men who eat the lotus lose their desire to return home. Homer describes the food as so delightful that they no longer care about their homeland. This produced the famous Western expression: “Lotus-eater” = someone lost in pleasure, idleness or dreamy forgetfulness. And the idea has survived for nearly 3,000 years. But  Homer's lotus probably wasn't the Indian white lotus pictured here.

The Greek word lotos was used for several different plants. Scholars have debated whether Homer's lotus was a fruit-bearing shrub, an Egyptian water lily, or something else. The botanical identity remains uncertain.  In fact, Denys Page's famous study Folktales in Homer's Odyssey discusses precisely this question and distinguishes Nelumbo, the Indian lotus, from Nymphaea, the Egyptian water lily.  So there is a delightful possibility that the same word “lotus” in Indian and Greek literature does not always mean the same botanical plant.

Many centuries later to Homer, Alfred Lord Tennyson wrote The Lotos-Eaters (1833), directly based on the episode in the Odyssey. Library of Texas A&M University

His famous opening atmosphere is:

“In the afternoon they came unto a land

In which it seemed always afternoon.”

And everything becomes languid, dreamy and seductive.

Tennyson transforms Homer's lotus into a symbol of escape from responsibility, weariness, labour and the demands of ordinary life. That is quite different from the Indian conception.

Indian lotus: purity, divinity, spiritual awakening, beauty.

Homer/Tennyson's lotus: forgetfulness, languor, escape, dreamy pleasure. 

There actually exists a small twist here. Lotus is Nelumbo nucifera; Lily is Lilium; and what we commonly call a Water Lily is neither a Lotus nor a true Lily. It belongs to the genus Nymphaea — another aquatic flower, botanically distinct from both Lotus and Lily.  .. .. and pictured here are beautiful White Lotus flowers.

Regards – S Sampathkumar

6.10.2026

How good you were in Maths !! - Tables !!!

 

How good were in you Maths !!  ~ remember that when we were young, we were taught Tables !  - upto 16 – in the class, students in chorus 1 x 8 = 8, 2x 8 = 16, 24,32,40,48,56,64,72,80,88,96 ………. 

This morning SYMA conducted a Medical camp at Chennai Middle School, Ramnagar, Triplicane – the infrastructure, class rooms, cleanliness all impressed me beyond a point ! [that will be subject matter of another post] – this about a blackboard containing tables ..  do children glued to mobiles and calculators still learn Tables ?!?!?

Perhaps  there isn't a single person who invented them. They developed gradually in ancient civilizations.  Some references put that the  earliest known multiplication tables come from ancient Mesopotamia. Babylonians wrote mathematical tables on clay tablets, using their base-60 (sexagesimal) system.   Egyptians had sophisticated methods for multiplication, but generally used doubling rather than memorising a complete set of tables. For example, to multiply by 13, they could successively double and add the required quantities.

                Indian mathematicians developed and used multiplication tables extensively. The decimal place-value system and zero, which emerged in India, made arithmetic and multiplication much easier. By the early medieval period, Indian mathematical texts contained systematic multiplication methods and tables. Chinese mathematics: China also developed multiplication tables very early. The famous “Nine-Nine Table” (九九表) was traditionally memorised as a sequence of products from 1×1 through 9×9.  

Nobody can really be called the inventor. Multiplication itself is thousands of years old, and tables evolved as a practical shortcut for repeated multiplication. The  “2 to 20 tables” tradition familiar in Indian schools is much more extensive than the standard 1–10 tables commonly taught in many Western countries. Aryabhata, Brahmagupta and Bhaskaracharya did not invent the school multiplication tables as such. They developed and codified arithmetic methods that made systematic calculation possible..

Before Aryabhata — multiplication was repeated addition -  5 × 4 = 5 + 5 + 5 + 5 = 20.  Indian mathematicians explicitly regarded multiplication as a form of repeated addition. The terminology was quite sophisticated: the number being multiplied and the multiplier had specific Sanskrit names, and the result had its own terminology.  Calculations were sometimes performed on a board covered with dust, hence the term dhūlikarma (“dust work”).  

Aryabhata, in his Āryabhaṭīya, gave a systematic treatment of mathematics (gaṇita) alongside astronomy. His importance to the later tradition is not that he created “2 times table, 3 times table…” but that he codified mathematical procedures in a highly systematic form. His work became the foundation for generations of Indian commentators and mathematicians. An important point is that these texts were written in compact Sanskrit verse, partly because mathematical rules were intended to be memorised. So there was already a strong tradition of learning numerical rules by heart—something that eventually fits very naturally with the school practice of reciting multiplication tables.

About a century later came Brahmagupta. His Brāhmasphuṭasiddhānta, written in 628 CE, contains an extensive treatment of arithmetic, including multiplication, division, fractions, negative numbers and zero.  Consider: 347 × 26. Today we instinctively understand that:

6 × 347 = 2082

20 × 347 = 6940

therefore 2082 + 6940 = 9022.

That depends on understanding place value — units, tens, hundreds — and the decimal numeral system. Indian mathematicians developed increasingly sophisticated arithmetic using this system. Historical descriptions of Indian multiplication methods show procedures remarkably close in principle to the long multiplication taught in schools today.   

Much later in the 12th century,  Bhaskaracharya’s famous Līlāvatī, part of the Siddhānta Śiromaṇi, contains extensive arithmetic and specifically discusses methods of multiplication and squaring. Bhaskara II gives methods of multiplication that involve arranging numbers in particular positions and multiplying their individual digits—methods that are recognisably related to the algorithms used later in traditional arithmetic teaching. And Līlāvatī is particularly interesting because it doesn't merely give rules. It presents problems for students to solve, including arithmetic progressions, interest, fractions, geometry and other numerical problems.

The modern Indian school tradition of Maths tables  is not something we can attribute to Aryabhata or Brahmagupta individually. Rather, it grew out of the broader Indian tradition of: number → place value → repeated addition → multiplication rules → memorised computational rules → school arithmetic. The fact that Indian mathematical texts were composed in concise, memorable verses also encouraged oral memorisation. Over centuries, this developed into the familiar practice of children reciting tables aloud.

The traditional Indian method of multiplication was so influential that medieval Europeans sometimes referred to Indian arithmetic as “modus Indorum” — the method of the Indians.  So when an Indian child today confidently rattles off “13 ones are 13, 13 twos are 26…”, there is a very long mathematical ancestry behind that apparently simple school exercise.

Interesting ! – back to Basics ! – back to schools !!

 

Regards – S Sampathkumar

4.10.2026

If ships end up at breaking (grave)yards ... aircrafts at boneyards...

In 1979, when we were at school, the film ‘Ninaithale Inikkum’ directed by K Balachandar, starring Kamal Rajni, Jayapradha opened with rave reviews.  The story moves to Singapore and my friends remarked that aeroplane taking off is being shown and great one at that.  Those were the days, when most had never seen a plane closer.

Davis–Monthan Air Force Base  is a United States Air Force base located within the city limits of downtown Tucson, Arizona. It was established in 1925 as Davis-Monthan Landing Field. The base has been named in honour of World War I pilots Lieutenants Samuel H. Davis and Oscar Monthan (1885–1924), both Tucson natives. Davis, who attended the University of Arizona prior to enlisting in the Army in 1917, died in a Florida aircraft accident in 1921. Monthan enlisted in the Army as a private in 1917, later became a pilot; he was killed in the crash of a Martin bomber in Hawaii in 1924.

Away from air, looking at the sea, the sight of a very large vessel floating on water, carrying goods from one place to another offers imagination beyond dreams. Man has conquered the ocean sailing across with the aid of ships and boats which developed alongside mankind. Vessels have borne the key in history’s greatest explorations. The cargo - from slaves to modern day containers, dry and wet, live, frozen and refrigerated, big machineries, bulk cargo, liquid cargo – the variety is endless.  But just as most things have a shelf life, ships also have a limited span of life. These vessels who have outlived its existence are sold and dismantled to recover the valuable steel – that is all about ‘ship breaking’ at yards where the majestic creature gets reduced to a skeleton and eventually wiped out of existence.

It is written that down South Kolb Road in the Arizona city of Tucson,  just like one sees concrete structures on any modern city, one would find rows of military aircraft, still and silent, spread out under the baking desert sun. On and on, everything from enormous cargo lifters to lumbering bombers, Hercules freighters and the F-14 Tomcat fighters made famous in Top Gun ~ and that is Davis-Monthan Air Force Base, run by the 309th Aerospace Maintenance and Regeneration Group (309 AMARG). It’s home to some 4,400 aircraft, arranged over nearly 2,600 acres (10.5 sq km). Some look like they were parked only a few hours ago, others are swathed in protective coverings to keep out the sand and dust.

….. and the reason for they being there inside the facilities' hangars – stand reduced to crates of spare parts  waiting to be sent out to other bases in the US or across the world to help other aircraft take to the air again. ….. they call it ‘boneyard’. Davis-Monthan is not the only aircraft boneyard in the world; it is by far the biggest. The climatic conditions in Arizona – dry heat, low humidity, little rain – mean aircraft take a lot longer to rust and degrade.

A BBC report puts it that another post-Soviet boneyard is in the Chernobyl Exclusion Zone – the area evacuated after the 1986 nuclear disaster in Ukraine. The vehicles used to help clean up the disaster area were contaminated with radiation. A line of giant Soviet helicopters has been left to rust in the fields. BBC News pictures editor Phil Coomes visited the site in 2006, on the 20th anniversary of the disaster. “After the nuclear accident at Chernobyl, many of the contaminated vehicles used in the clean-up operation were placed in graveyards in the vast exclusion zone around the reactor.  Though they remain at the largest graveyard, souvenir hunters would be wise to keep away as there could be still contamination from radiation.  Despite the danger of radiation poisoning, many of the helicopters have been stripped of useful parts; their skeletal remains dwindle with every passing year.  In eastern California, Mojave Airport carries out a similar role for civilian aircraft that have reached the end of their operational lives. Airliners have been flown here for decades, and stored in the dry desert heat until broken up for scrap.

Aircraft boneyard (Aircraft graveyard) is a term for a storage area for aircraft that are retired from service. Most aircraft at boneyards are either kept for storage or turned into scrap metal. Deserts, such as those in the Southwestern United States, are good locations for boneyards since the dry conditions reduce corrosion.  It could be surrealistic view to see so many aircrafts lined up in one place, factual is that those aircrafts constructed spending thousands of dollars are idling with no productive use. 

As it turns out, the airline industry goes in cycles. The boneyards first filled up after WWII when the military downsized and converted to jet aircraft.  The next wave of idle planes happened during the oil crisis in 1974. With the  travel shock of the 1991 Gulf War, thousands of airliners were sent to the desert.  The 9/11 attack  and continued terrorist threats, high cost of fuel, and passenger concern, the boneyards continued to fill up.  Ironically, some aircraft that were on order as of 9/11 were rolled off of the assembly line, and flown directly to storage in Mojave without carrying a single paying passenger.

With regards – S. Sampathkumar

25^th Sept. 2014

Many thanks to BBC from which most of boneyard report is reproduced.