Tag: encyclopaedia

Posted in Science & Nature

Golden Ratio

Posted on by Jinavie

The golden ratio is a magical number that divides a line into the most beautiful ratio. It bestows a mystical power in an object and allows for the creation of excellent architecture and art.
This magical ratio is (1 + √5)/2, or 1.618033988. If there is a line divided by the golden ratio called a + b, then b:a and a:(a + b) are both the same ratio.

We can find the golden ratio in countless values seen in animals and plants. A snail shell’s golden spiral allows for the snail to grow without changing shape, while the distribution of branches on a tree also follows the ratio. The golden ratio controls everything from the spiral pattern of galaxies to the pattern of our brain waves. The golden ratio is the law of the universe.

Using this magical ratio, we can find the most beautiful composition of a human being. The Venus of Milo, considered as one of the most beautiful figures in history, has a ratio of 1:1.618 between her upper and lower body (divided at the belly button) – the golden ratio. The same can be said for the ratio between the head and neck compared to the rest of the upper body, and the length from the belly button to the knee compared to the length below the knee. The exact same composition was used to construct the statue of Doryphoros, one of the most famous examples of ancient Greek sculptures. The diagram that illustrates these ratios is the Vitruvian Man by Leonardo da Vinci (Vitruvius was a Roman architect who utilised the ancient Greek knowledge of applying the proportions of a human being, i.e. the golden ratio, in constructing temples). 

The Great Pyramids of Giza, Solomon’s Temple and the Parthenon are all partially constructed according to the golden ratio. It is said that buildings constructed outside of the golden ratio will collapse over time. The same is seen in Eastern constructions, such as buildings and inventions from the Goryeo Dynasty of Korea. 

Interestingly, the golden ratio applies to intangible objects as well. For example, Chopin’s Nocturne pieces tend to climax at the point of the golden ratio (roughly two-thirds in). The ratio is still used in modern day design, with the standard credit card size being the best example.

The golden ratio is an eternal beauty that does not go out of fashion with time.

Posted in Life & Happiness

Tie

Posted on by Jinavie

One challenge a man faces as he grows up is tying a tie. A well-tied tie not only looks good, but also shows that you are a highly organised and proper man. The following instructions describe how to tie the Windsor knot.

  1. Drape the tie around your neck so that the wide end is on the right. Align it so the narrow end is shorter than the broad end.
  2. Cross the wide end over the front of the narrow end.
  3. Fold it behind the narrow end then push it up the hole (between the tie and your neck).
  4. Bring the wide end down (over the loop), then around the back of the narrow end.
  5. Tighten the loop made. This will make the right side of the triangle at the end.
  6. Fold the wide end over and around the loop. 
  7. Pull tight as you did in step 5. This is the left side of the triangle.
  8. Cross the wide end over the front of the triangle, under the loop, up the hole.
  9. Feed the broad end through the knot you made in front of the triangle. Pull down and tighten.
  10. Shape the knot into a symmetrical triangle as you tighten it. Now tighten the loop comfortably around your collar.

If the tie is too short or too long, repeat by adjusting how much narrow end you left at step 1. Practising these steps a few times will soon make you a master of ties – an essential skill for all suit-wearing gentlemen.

Posted in Psychology & Medicine

Hypnagogia

Posted on by Jinavie

Every person has had the experience of having a few seconds of brilliance just before their consciousness slips into sleep. During this short moment, we have some of the most creative and innovative ideas. Unfortunately, this is all lost by the time we wake up. This state is known as the hypnagogic state and has been well known since ancient Greece. Many philosophers and writers such as Aristotle and Edgar Allan Poe have written on the subject and how they received some of their greatest ideas in this state. 

Recent researches show that during hypnagogia, thought processes and cognition vastly differs to normal wakefulness. It appears that hypnagogic cognition is more based on the subconscious mind, with people in this state being more open to suggestion (e.g. hypnosis). Ideas seem to flow in a fluid yet illogical way and they are based on external stimuli, thus explaining the heightened suggestibility as the brain incorporates the surrounding into its thought process. The thought process is also less restricted, leading to openness and sensitivity. A process called autosymbolism occurs where abstract ideas that we are thinking are converted into concrete images. This explains the artistic inspiration seen in hypnagogia.

One of the more pronounced phenomena of hypnagogia is insight. It has been noted by many people throughout history that the moment before sleep is when we have the best ideas. For example, a chemist called August Kekulé realised that benzene was a ring structure after seeing an image of snakes biting each other’s tails to form a ring. Because of this, many famous artists and inventors tried to harness the power of hypnagogia through techniques such as the Dalí nap. Thomas Edison, Isaac Newton, Beethoven and Richard Wagner also practised similar techniques to gain insight into a problem that they were trying to solve or bring fresh ideas.

Another fascinating side of hypnagogia is the strange sensory phenomena associated with it. As in the case of sleep paralysis (which usually occurs in hypnapomp – the state between sleep and waking up), people often report strong hallucinations in the form of bright colours, geometric shapes, or even nightmarish visions (such as a ghost sitting on your chest). Other senses are affected as well, such as hearing whispering (commonly associated with the nightmarish hallucinations mentioned above) or out-of-body experiences. Hypnic jerks are also common, where the person jerks awake just before drifting off to sleep. This is thought to be caused by the brain misinterpreting sleep as “death” or the body shutting down, leading it to jolt the system back to life. 

Finally, an interesting psychological phenomenon is the Tetris effect, where people who have spent a prolonged time on one activity cannot stop seeing images and thinking about that activity in the hypnagogic state. This was seen in people who had played too much Tetris seeing coloured bricks before they went to sleep. Other common versions of the Tetris effect include chess boards and pieces, feeling waves after being at sea and seeing words and numbers after working on documents for a long time.

The combination of insight, creativity and sensory illusions leads to hypnagogia causing strange “experiences”. Ergo, hypnagogia is now thought to explain many supernatural experiences such as ghost sightings, UFO abductions, premonitions and visions.

Posted in History & Literature

Apple

Posted on by Jinavie

Apples are strewn throughout history and mythology, acting as a key component of human societies. Its symbolism ranges from the sin of Adam and Eve to the love of Aphrodite. Let us look at some apples that have made a significant impact in the world – real or mythical.

Apple of Temptation: According to the bible, Eve is tempted by the snake to take the forbidden fruit from the Tree of Knowledge. By taking from the tree and eating this fruit (then sharing it with Adam), the two are banished from the Garden of Eden and humanity is cursed to live in the harsh world and for women to suffer the pain of childbirth. Although the bible never defines the forbidden fruit as an apple, artistic depictions during the Renaissance has solidified the idea. The eponymous Adam’s apple (the lump on men’s necks) is said to be a piece of the apple being stuck in Adam’s throat.

Apple of Discord: According to Greek mythology, Eris (goddess of discord) threw a golden apple into a wedding after not being invited to it. The apple was inscribed with the message: “For the fairest one” and Hera, Athena and Aphrodite all claimed the apple was for them. Eventually, the judgement was delegated to Paris, prince of Troy. Each goddess bribed him with power, strength and love respectively but Paris eventually chose Aphrodite and in return, received the most beautiful woman in the world – Helen of Sparta. This sparked the great Trojan War, resulting in the destruction of Troy by the Greek alliance.

Apple of Love: Atalanta (Greek mythology) was a beautiful woman who had sworn virginity to the goddess Artemis. To avoid marriage, she challenged suitors to a footrace and only the winner would take her hand in marriage (the rest were killed). A man named Hippomenes went to Aphrodite’s temple to seek advice and was given three golden apples. He used the apples to distract Atalanta during the race by tossing it near her. This allowed him to win the race and ultimately took Atalanta’s hand in marriage. This story also shows how the ancient Greeks saw apples as a symbol of love, as evidenced by the gesture of one throwing an apple to the person they are in love with. Catching the apple was accepted as a sign of reciprocity.

Apple of Challenge: One of Hercules’ twelve challenges was to take the Golden Apples of Hesperides, protected by Ladon, a dragon with a hundred heads. Hercules bargained with Atlas to hold the Earth while he retrieved it. Atlas tried to walk away free from his damned task, but Hercules tricked him by asking to hold the Earth while he shifted his cloak.

Apple of Death: In the fairy tale, Snow White, the evil queen uses a poisonous apple to murder Snow White. The symbolism of the apple is similar to the biblical story mentioned above. Despite the dwarves warning her about stranger danger, Snow White takes the gift of a stranger without enough caution and suffers the consequences. However, she is resurrected by the kiss of the prince. Perhaps Aphrodite’s apple of love counters the evil apple of death and sin.

Apple of Revolution: A famous Swiss folklore describes how William Tell had to shoot an apple from his son’s head with his crossbow as punishment for not submitting to the occupying Austrians’ leader, Gessler. Being an expert marksman, he successfully hit his target instead of killing his son. When he was questioned why he drew two bolts from his quiver, Tell replied that he was aiming to shoot Gessler if he accidentally killed his son. This infuriated Gessler, who arrested William Tell. However, Tell escaped and went on to lead the revolution against the oppressors, aiding in the liberation of Switzerland (according to the legend).

Apple of Philosophy: There is a record of a young Martin Luther (who founded the protestant church) writing in his diary: “Even if I knew that tomorrow the world would go to pieces, I would still plant my apple tree”. The philosophy behind this saying is not that gardening is important. Here, Luther is saying that we should live every day as if it is the last day. Live without regrets. Besides, would we not look silly if the world did not end and we had wasted a day panicking and doing absolutely nothing productive?

Apple of Knowledge: The story of how Isaac Newton devised the theory of gravity after being hit on the head with an apple is a famous story. Although the “hitting on the head” part is dubious, evidence suggests that he used apples falling from a tree as an example of how gravity works. Although the concept of gravity was already established, Newton focussed on how apples always fell perpendicular to the ground and deduced that objects have a gravitational pull on other objects (as the Earth pulls the apple and vice versa). He extrapolated from the apple to discover how Earth’s gravitational field controls the orbit of the Moon. Thus, it can be said that apples played a “crucial” role in the advancement of modern physics (although Newton probably did not need the apples for his theory).

Apple of Innovation: In 1976, Steve Jobs co-founded Apple Inc. to develop the first personal computer. The company would go on to revolutionise mainstream digital technology by coming up with innovative products such as the iPod. Steve Jobs was the face of this new wave of innovation; with his bold outlook on the future and powerful leadership he made Apple Inc. one of the most successful companies in the 21st century. Jobs successfully popularised many pieces of technology, such as personal computers, portable music players and tablet PCs. Interestingly, he came up with the logo and name of the company after seeing a cartoon of Newton and his apple. Perhaps Jobs was seeking to create a company that would be one of the many “apples” that were turning points in history.

Posted in Psychology & Medicine

Hedgehog’s Dilemma

Posted on by Jinavie

Imagine two hedgehogs in the middle of winter. Even though they wish to huddle together to keep warm, they must keep distance to not become stabbed by the other hedgehog. There is no way they can avoid hurting each other without keeping their distance. Although both hedgehogs badly want to be close and intimate, they cannot. Therefore, the hedgehogs sacrifice the potential warmth for their own comfort.

Human relationships are just like the hedgehogs in the allegory. If a relationship is too close, the two people have a serious danger of hurting each other in one way or another. It is crucial to find the balance between keeping distance and having enough intimacy to have a good relationship, but much like the hedgehogs, this is a very difficult task. 

Some people may have the unfortunate experience of being pricked by another hedgehog and learn that getting too close hurts too much. These people try and keep their distance from other people and rely on their internal warmth to not freeze during the winter. This phenomenon is more pronounced in introverted people and clearly seen in those suffering from social anxiety.

This is the dilemma of the hedgehogs: should one sacrifice the warmth of companionship to avoid pain? Or should one overcome the potential pain to attain the intimacy that we all seek? Figuring out where the perfect balance lies and respecting each other’s personal space is quite possibly one of the most important factors in having a healthy relationship.

Posted in Life & Happiness

Early Bird

Posted on by Jinavie

According to a proverb, the early bird gets the worm. This means that people who wake up early to start working, grabbing opportunities as early as possible will ultimately be more successful than the lazy people waking up later. But is this necessarily true?

To wake up early and get enough sleep to function, an early bird must naturally sleep earlier than night owls. However, this also means that early birds are less likely than night owls to socialise late into the night, meeting and having fun with less people. Unfortunately, this is one of the best ways to make important connections with other people – some of whom may one day be your superior or looking to hire you. It has been statistically proven that personal connections are more important than actual skills and diligence, with up to 80% of promotions being based on connections rather than how well the person works.

According to a certain study, people who visited bars regularly earned 10-14% more than non-drinkers, with even social drinkers earning 7% more than those who preferred to call it an early night. So if you wish to be successful, sleep late, wake up later and go out and party.

Posted in Psychology & Medicine

Phantom Limb Pain

Posted on by Jinavie

In up to 80% cases of amputations, a strange phenomenon occurs where the amputee reports sensation or even severe pain where the limb has been amputated. It was noticed in field hospitals during wars when a soldier would wake up and ask someone to scratch his leg – which was no longer attached to his body. The sensation can be so powerful that victims actively believe that their phantom limb can interact with real objects. For example, there have been case reports of patients trying to pick up a cup with an amputated arm and becoming frustrated with their inability to.

Phantom limb pain may persist even after the amputee realises the limb is no longer there. The basis for phantom limb pain is a neurological system called the cortical homunculus. The cortical homunculus is a concept that the part of the brain responsible for sensation and movement is mapped out so that each part corresponds to a part of the body (see picture). For example, the top of the primary somatosensory and motor cortices (said parts of the brain) is responsible for foot sensation and movement while the side receives information from and sends signals to the face. It lets the brain construct an image of what the body looks like from sensory information it collates from various body parts. It is suggested that phantom limb pain is caused by a remapping of the cortical homunculus, fooling the brain to think that the limb is there even if it has been physically cut off. This also explains a similar condition called supernumerary phantom limb, where the brain believes there is an extra limb (e.g. a third arm).

As the homunculus concept is a recent idea, treatment options had not advanced much until the late 1990s. In 1998, a neuroscientist called Dr. Vilayanur S. Ramachandran devised a method called the mirror box treatment. He noticed that victims of phantom limb pain (PLP) had paralysis or pain in the limb just before the amputation (such as tightly gripping something before the arm got blown up by a mine), suggesting that PLP may be a form of learned paralysis. This means that the brain believes that the arm is still paralysed and any movement causes an uncomfortable sensation as the brain thinks the limb is contorted into a painful position. To fix this problem, Dr. Ramachandran invented a box with two holes, each going into a separate compartment. One compartment is for the good arm while the other has a mirror positioned on an angle to reflect the other arm (instead of seeing the stub they put in the hole). He would then instruct the patient to perform symmetric movements with both hands while looking at the reflected arm. For example, he would tell the patient to squeeze their “fists” tightly as possible and then let go. Through this procedure, the brain is retrained to let go of the perceived paralysis and pain as it is tricked in to thinking that the arm is healthy again. The mirror box therapy drastically improved the outcome and quality of life of PLP patients through the power of illusions.

image

Posted in Life & Happiness

Carriage

Posted on by Jinavie

There was a disciple who bought an expensive carriage. He did not want to damage it and so never took it out and instead cleaned it every day. One day, his master visited his house and saw his disciple polishing the carriage. He asked:
“Who owns this carriage?”
“I do.”
“It appears to me that the carriage owns you.”
“…What do you mean, master?”
“Are you not treating the carriage as a servant serves its master?”
“…”
“What you do not enjoy cannot be called your possession. Only by enjoying it do you possess it. Not only objects, but the warm sunshine, fresh air, beautiful scenery are all a man’s possessions if he enjoys them. A person who can enjoy many things can be called truly rich. If a person enjoys the world, even without a single penny they are the wealthiest person in the world.”

The foolish disciple was proud of his carriage that he spent so much money on, when he could not even use it. The way people treat the learning of knowledge and skills is similar to how the disciple treated the carriage. People look for all kinds of luxurious carriages that they will not, or cannot even use.

What is infinitely better is to enjoy and indulge in the carriage you already own to move forward in your life, no matter how cheap and ragged it may be. In fact, believing that your carriage is old and worn-out is simply a delusion. Within the most basic carriage lies the secret to enlightenment. However, those who are blinded by delusion that they must seek a fancier, stronger-looking carriage that requires less effort can never see that. The Bluebird of Happiness that you have been seeking forever has been waiting inside you all this time. But how can you learn the ultimate secret if you do not even think about looking deep within your heart?

There is a world of difference between possession and enjoyment. Do not seek the talents of others, cultivate and develop the talents you already own. To be satisfied with what you have and enjoying it – that is the secret to happiness.

Posted in History & Literature

Succubus

Posted on by Jinavie

A succubus is a demon that takes the form of an attractive human woman to seduce men, tempting them to have sex with her. Through sex, the succubus leeches away the man’s life force until he wilts away. They tend to visit men in their dreams and use their beauty and charm to lure and enchant their victim. A famous example of a succubus is Lilith, the first wife of Adam. There are other similar demons throughout the world, such as the nine-tailed fox in Asia (kumiho in Korea, kitsune in Japan and Hulijing in China). A similar demon is an incubus – the male equivalent of a succubus.

The origin of the succubus may be explained medically. It is well known that sleep paralysis is related to vivid hallucinations in the hypnagogic state, with countless cases of alien abductions and supernatural sightings ascribed to the phenomenon.

However, another explanation may be that the succubus is an allegory of the femme fatale. Femme fatale – French for “deadly woman” – describes a mysterious and seductive woman who uses her womanly charms to ensnare and manipulate men. A femme fatale is highly able in utilising the various tools at her disposal: beauty, charm, sexual allure, music, seductive dancing, persuasive language, deception, coercion, hypnotising and generally toying with a man’s reproductive instincts.

There are many examples of how different femme fatales – ranging from the biblical Eve to the spy Mata Hari – made an impact in history through the elaborate manipulation of men to their advantage. This is reflected in folklore through the concept of witches and enchantresses who use “magic” and sexual charms to have men do their bidding, essentially having them on a leash.

Essentially, the moral of the story of the succubus (that is, to men) that women can be deadly and are completely capable of sapping a man’s life away if she wished so. That is why men should know when they are actively being deceived or being controlled by a woman with (false) promises of love and sex. Perhaps the flipside moral of the story for women is that with the power of sex, a woman can have a man do anything for her – a valid strategy that has proven to be effective for all of recorded history.

Posted in Science & Nature

Euclidean Geometry

Posted on by Jinavie

In 300BC, a Greek mathematician called Euclid wrote a series of texts called Elements. The Elements was a textbook that outlined many principles of mathematics (especially geometry) and it would become one of the most influential works in the history of mathematics. It is composed of a series of axioms (the axiomatic approach) from which many deductions and theorems can be made. Although many of these axioms sound extremely simple and like common sense, the implications are staggering.

The following is Euclid’s Five Postulates of Plane Geometry:

  1. Two points determine a line. 
  2. Any line segment can be extended in a straight line as far as desired, in either direction. 
  3. Given any length and any point, a circle can be drawn having the length as radius and that point as centre. 
  4. All right angles are congruent (can be superimposed). 
  5. Parallel postulate: If two lines intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side, if extended far enough. 

Using these postulates, mathematicians are able to deduce more advanced theories. For example, the Elements also describes the famous Pythagorean theorem, which states that “in any right triangle, the area of the square of the hypotenuse (the diagonal) is equal to the sum of the areas of the squares of the other two sides” (a² + b² = c²).

Thanks to Euclid’s works, we are now able to accurately model and measure the three-dimensional space around us. Not only did Euclid set the foundations for mathematics, his works were also instrumental in the development of logic and modern science.