What are some mind-blowing facts about mathematics?

Well ever wondered how the Surface Area of a Sphere was derived?

Well here is a great visualisation to alter your perception.

Step 1: Cut the sphere in the following way.

Step 2: Spread the cut out part across the paper

Step 3: Collate the pieces together in the following way

Step 4: Spread the areas out separately to form a sine curve

Step 5: The area of the sine curve is the surface area of the sphere

Here’s a GIF file for better understanding.

There’s of course the generic method of calculation where the surface area is calculated by cutting the sphere into infinitesimally thin disks of varying radius stacked over one another and integrating them, but this above method is a different way to look at the same problem.

Image Source: Google Images

What are some remarkable photographs from history?

1- Tennessee from the 1890s until the 1930s. There seems to be a whole lot of people who have these shots in their family albums. They were all taken from the same angle.

2-Nuremberg Nazi rally, 1937.

Miss New Zealand passes out from heat exhaustion. Long Beach, California (7-19-54).

4-Amazing historical photography from construction of the Titanic.

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6- Amazing history photos found from Vietnam War.

7- Hillary Clinton enjoying sea breeze. Her past memories.

8- Hillary and Bill’s wedding photo

9- Donald Trump and the list of his achievements at Military high school.

10- M.A Jinnah and Mohandas Gandhi in pleasant mood (Bombay, 1944)

11- Female IRA fighter with her assault rifle in the 70's.

12 . Last public execution in the United States (Kentucky, 1936)

What are some unknown facts about Radhika Apte

1. She played the role of Shahid Kapoor's sister.

Yes, not many are aware of this fact, but in the movie ‘Vaah Life Ho Toh Aisi’, it was she who got the role of Shahid Kapoor’s sister. She made her Bollywood debut with this film in the year 2005. She has not-so-conventional looks, and her acting is exemplary. She has a long way to go in the acting world.

2. She is highly educated.

It is hard for a student to study a single subject, but this woman did her graduation in economics and mathematics both. She deserves an award for choosing two of the toughest subjects in the world. She completed her graduation from Fergusson College, Pune.

3. She believes in working in short films.

Ahalya, Kriti, Gutthi are some short duration movies which she has done and which are much better than long ones. Her acting is remarkable, and we are glad she does not follow the league of other actors who feel ashamed of working in short films. Watch these epics for some thrill and information.

4. She did theater.

She was a theater artist a long time back. Her credit of brilliant acting goes to it. Marathi plays were her choice, and she acted in many of them like ‘Tu’, ‘Matra Ratra.’ Also, she worked in the English dramas like ‘Bombay Black’ where Rahul Bose spotted her and recommended her further in the industry.

5. She knows seven languages.

Not only is she is an economic and mathematics graduate, but this Diva is the fluent speaker of seven languages which are - , Marathi, Hindi, English, Tamil, Bengali, Telugu, and Malayalam respectively. The only woman in the Bollywood industry who has featured in the films of different regions. She is an inspiration.

6. Her husband is a British Musician.

In the year 2012, she tied the knot with Benedict Taylor, whom she met in London. ‘Killa’, a Marathi film was praised immensely for its songs, and he was its music director. They look beautiful together.

7. Tusshar Kapoor was once in her life.

Oh yes, that is shocking, but she once dated Tusshar. They both worked together in the movie ‘Shor In The City ’, and apparently came close towards each other. She denied the rumors, by giving their equation a title of ‘Just Good Friends.’

8. She is proud of her nudes.

The nudity does not bother her, and she feels proud to have posed nude in front of the cameras. Anurag Kashyap’s short films feature her unclad, and she looks gracefully beautiful in it.

9. She does not fear controversy.

Her nude selfies and naked pictures went viral on the internet. In a day, her image came crashing down, and the media could not stop itself from overreacting. She faced everyone on her face, and did not react to anything and kept silent.

10. She knows Kathak too.

There is nothing in the world which she cannot do or which she has not done. Besides being a graduate in two subjects, working in theaters and short-films, and knowing seven languages, she is also trained in Kathak dance. We are so proud to have her in Bollywood!

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Main sources:‐Top 10 Facts About Radhika Apte That You Had No Idea About | Latest Articles | NETTV4U

Image source:‐http://Google image.com

What are some interesting random facts?

 These fun facts might give you fun time to enjoy :

1. ahh, blue lava..who’d have thought of this hmm?

2. woaa..I’m an Indian , still never discovered it before !

3. Dead people serving a good job !

4. Nobel Prize

5. How many of you are going to try this ?

6. Snails are lazy..like literally

7. How many of you will dare to swim again ?

8. Bae..enough said.

9. History could be interesting..

10. No rats..serious ?

11. Nice word for “parso”

12. Zebras..I thought they’re white with black stripes !

Why was it so crucial for Krishna and the Pandavas to defeat Jarasandha before attempting the Rajasuya sacrifice?

If Pandavas had faced Magadh army under emperor Jarasandha’s rule, they would've been effortlessly crushed like bugs.

Krishna himself along with Balarama, Satyaki, Pradyumna and whole of Yadavs combined couldn't do anything against Magadh's full might under Jarasandha..

He had unique boon from Rishi Chandakaushik to be invulnerable to weapons. 2 of his army generals named Hamsa and Dimvaka had same exact boon. In addition to this he gained many boons from Shiva which helped him conquer all countries in the contemporary world barring Hastinapura and Dwaraka. Hastinapura was spared due to Bhishma and Dwaraka was setup in Mountainous regions inaccessible to him.

Krishna to Yudhistira: -

It behoveth thee, O Bharata, to establish thy empire over all the Kshatriyas. But this is my judgment, O king, that thou wilt not be able to celebrate the Rajasuya sacrifice as long as the mighty Jarasandha liveth. By him have been immured in his hillfort numerous monarchs, like a lion that hath deposited the slain bodies of mighty elephants within a cave of the king of mountains.

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By defeating the kings with their troops and bringing all of them as captives into this city, he had swelled its crowds enormously. We also, O king, from fear of Jarasandha, at one time had to leave Mathura and fly to the city of Dwaravati.

If, O great king, thou desirest to perform this sacrifice, strive to release the kings confined by Jarasandha, as also to compass his death. O son of the Kuru race, otherwise this undertaking of thine can never be completed. O thou foremost of intelligent men if the Rajasuya is to be performed by thee, you must do this in this way and not otherwise.

Further he stated that Jarasandha is too tough to be beaten in a war, even by Dev's and Asuras (obviously a hyperbole). And therefore be subdued in a personal combat where his army or allies won't interfere.

He is incapable of being vanquished in battle even by all the celestials and the Asuras (fighting together). We think, however, that he should be vanquished in a personal struggle with bare arms. In me is policy, in Bhima is strength and in Arjuna is triumph; and therefore, as prelude to performing the Rajasuya, we will certainly achieve the destruction of the ruler of Magadha. When we three approach that monarch in secret, and he will, without doubt, be engaged in an encounter with one of us.

From fear of disgrace, from covetousness, and from pride of strength he will certainly summon Bhima to the encounter. Like death himself that slays a person however swollen with pride, the long-armed and mighty Bhimasena will effect the destruction of the king.

That could be mythological reasoning. Realistically, Jarasandha simply could've been an unparalleled military intellect under whose command Magadh empire was unbeateable.

Jarasandh by himself was merely immune to weapons but was vulnerable to defeat in physical combat. But under his leadership, Magadh was Strongest military force in that era.

What are some of the most mind-blowing facts?

 The Reproduction & lifestyle of Blue Whale is really a mind blowing event that we could pretend to understand.

• Mass of a sperm cell is about one trillionth of a gram. That means a negligible stuff by mass contain enough information about how to build the biggest creature on planet of about mega grams (${10}^6$) !
• A typical ejaculation is of about 18 litre or 40 pints, for this they have planet’s longest penis of about 8- 10 feet! 
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• Baby calf born grows at a whooping rate of 90 kg per day, with an intake of 600 litres of milk per day!
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• Whales do not sleep like the way humans and other animals do, however they do rest. Because they must remain conscious of their need for oxygen as they live in the ocean taking care of their huge size.
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• Most injuries & deaths are recorded not from their predators, but the impact and collisions from large ships. They are usually mistaken as an island! 
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Not Just Amrita: The 14 Divine Treasures Emerged from Samudra Manthan

 The Samudra Mathan. One of the most important incidents in the Puranas. But the Nectar (Amrita) alone hasn’t emerged out of it; 14 divine things emerged. Let's discuss it today.

Halalala

The first thing to emerge. The poison was so powerful that it threatened all creation. Then, Lord Shiva drank it; that’s why his throat turned Blue, giving him the famous name NILAKANTHA

Kamadhenu/Surabhi

The divine wish-fulfilling cow. It was given to the sages.

Airavata

The majestic White Elephant. It became Indra’s Mount.

Ucchaishrava

A Seven-headed Celestial Horse. It was taken by Indra.

Kaustabha Mani

A divine Jewel. Adorned Lord Vishnu’s Chest permanently.

Panchajanya: The Divine Conch

Which is the Conch you can see in the hands of Lord Vishnu.

Lakshmi Devi

The goddess of Wealth and Prosperity also came out of this manthan.

Dhanvantari

The God of Medicine, who brings out the Amrita Kalash in his hand.

Sharang

The Most Powerful Bow

Varuni (Madira)

The Goddess of Wine, taken by the Asuras.

Rambha (Apsara)

The most beautiful celestial dancer, also came out of this Manthan.

Mrigank: The Moon

Symbol of Time and Mind

Parijat

A Divine tree with the most beautiful of flowers

Amrita

Finally, the thing for which the Samudra Manthan happened.

So, these are the 14 Jewels that came out of the Samudra Manthan. If you learn something new from this post, please UPVOTE it, and don’t forget to follow my space MINDVERSE.