1/0.6 18= 1.6 18
( 1-0.6 18)/0.6 18=0.6 18
This kind of value is not only reflected in painting, sculpture, music, architecture and other artistic fields, but also plays an important role in management and engineering design.
Let's talk about a series. The first few digits are: 1, 1, 2, 3, 5, 8, 13, 2 1, 34, 55, 89, 144 ... The characteristic is that every number is the sum of the first two numbers except the first two numbers (the numerical value is 1).
What is the relationship between Fibonacci sequence and golden section? It is found that the ratio of two adjacent Fibonacci numbers gradually tends to the golden section ratio with the increase of the series. That is f (n)/f (n-1)-→ 0.618. Because Fibonacci numbers are all integers, and the quotient of the division of two integers is rational, it is just approaching the irrational number of the golden ratio. But when we continue to calculate the larger Fibonacci number, we will find that the ratio of two adjacent numbers is really very close to the golden ratio.
This Fibonacci number not only starts from 1, 1, 2, 3, 5 ... Like this, if you choose two integers at will, and then sort by Fibonacci number, the ratio of the two numbers will gradually approach the golden ratio.
A telling example is the five-pointed star/regular pentagon. The pentagram is very beautiful. There are five stars on our national flag, and many countries also use five-pointed stars on their national flags. Why? Because the length relationship of all the line segments that can be found in the five-pointed star conforms to the golden section ratio. All triangles that appear after the diagonal of a regular pentagon is full are golden section triangles.
The golden triangle has another particularity. All triangles can generate triangles similar to themselves with four congruent triangles, but the golden section triangle is the only triangle that can generate triangles similar to itself with five congruent triangles instead of four congruent triangles.
Because the vertex angle of the five-pointed star is 36 degrees, it can also be concluded that the golden section value is 2Sin 18.
The golden section is approximately equal to 0.6 18: 1.
Refers to the point where a line segment is divided into two parts, so that the ratio of the length of the original line segment to the longer part is the golden section. There are two such points on the line segment.
Using two golden points on the line segment, a regular pentagram and a regular pentagon can be made.
More than 2000 years ago, Odox Sass, the third largest mathematician of Athens School in ancient Greece, first proposed the golden section. The so-called golden section refers to dividing a line segment with length L into two parts, so that the ratio of one part to the whole is equal to the ratio of the other part. The simplest way to calculate the golden section is to calculate the ratio of the last two numbers of Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 2 1, ... 2/3, 3/5, 5/8, 8/655.
Around the Renaissance, the golden section was introduced to Europe by Arabs and was welcomed by Europeans. They called it the "golden method", and a mathematician in Europe17th century even called it "the most valuable algorithm among all kinds of algorithms". This algorithm is called "three-rate method" or "three-number rule" in India, which is what we often say now.
In fact, the "golden section" is also recorded in China. Although it was not as early as ancient Greece, it was independently created by China ancient algebras and later introduced to India. After textual research. European proportional algorithm originated in China, and was introduced to Europe from Arabia via India, not directly from ancient Greece.
Because it has aesthetic value in plastic arts, it can arouse people's aesthetic feeling in the design of length and width of arts and crafts and daily necessities, and it is also widely used in real life. The proportion of some line segments in the building adopts the golden section scientifically. The announcer on the stage is not standing in the center of the stage, but standing on the side of the stage. The position at the golden section of the stage length is the most beautiful and the sound transmission is the best. Even in the plant kingdom, the golden section is used. If you look down from the top of a twig, you will see that the leaves are arranged according to the golden section law. In many scientific experiments, a method of 0.6 18 is often used to select the scheme, that is, the optimization method, which enables us to arrange fewer experiments reasonably and find reasonable western and suitable technological conditions. It is precisely because of its extensive and important application in architecture, literature and art, industrial and agricultural production and scientific experiments that people call it the golden section.
The golden section is a mathematical proportional relationship. The golden section is strict in proportion, harmonious in art and rich in aesthetic value. Generally, it is 0.6 18 in application, just as pi is 3. 14 in application.
The aspect ratio of a golden rectangle is the golden ratio. In other words, the long side of a rectangle is 1.6 18 times of the short side. The golden ratio and the golden rectangle can bring aesthetic feeling to the picture, which is pleasant. It can be found in many artistic and natural works. The Pasa Shennong Temple in Athens, Greece is a good example. Leonardo da Vinci's Vitruvian Man fits the golden rectangle. Mona Lisa's face also conforms to the golden rectangle, and The Last Supper also applies this proportional layout.
Edit this discovery history.
Since the Pythagorean school in ancient Greece studied the drawing methods of regular pentagons and regular decagons in the 6th century BC, modern mathematicians have come to the conclusion that Pythagoras school had touched and even mastered the golden section at that time.
In the 4th century BC, eudoxus, an ancient Greek mathematician, first studied this problem systematically and established the theory of proportion.
When Euclid wrote The Elements of Geometry around 300 BC, he absorbed eudoxus's research results and further systematically discussed the golden section, which became the earliest treatise on the golden section.
After the Middle Ages, the golden section was cloaked in mystery. Several Italians, pacioli, called the ratio between China and the destination sacred and wrote books on it. German astronomer Kepler called the golden section sacred.
It was not until the19th century that the name golden section gradually became popular. The golden section number has many interesting properties and is widely used by human beings. The most famous example is the golden section method or 0.6 18 method in optimization, which was first proposed by American mathematician Kiefer in 1953 and popularized in China in 1970s.
________________________
|
A b
a:b=(a+b):a
This value is usually represented by the Greek letter Ф.
The wonder of the golden section is that its proportion is the same as its reciprocal. For example, the reciprocal of 1.6 18 is 0.6 18, while1.618 is the same as 1:0.6 18.
The exact value is (√5- 1)/2.
The golden section number is irrational, and the top 2000 digits are:
0.6 180339887 4989484820 4586834365 638 1 177203 09 17980576 : 50
2862 135448 6227052604 628 1890244 9707207204 18939 1 1374 : 100
8475408807 538689 1752 1266338622 2353693 179 3 180060766 : 150
7263544333 8908659593 9582905638 32266 13 199 2829026788 : 200
0675208766 89250 17 1 16 9620703222 10432 16269 5486262963 : 250
136 14438 14 975870 1220 3408058879 5445474924 6 185695364 : 300
86444924 10 4432077 134 4947049565 8467885098 743394422 1 : 350
2544877066 47809 15884 607499887 1 24007652 17 0575 179788 : 400
34 16625624 9407589069 70400028 12 1042762 177 1 1 17778053 : 450
153 17 14 10 1 1704666599 1466979873 176 1356006 70874807 10 : 500
13 17952368 942752 1948 4353056783 0022878569 9782977834 : 550
7845878228 9 1 10976250 0302696 156 1700250464 3382437764 : 600
86 1028383 1 2683303724 292675263 1 1653392473 167 1 1 12 1 15 : 650
88 186385 13 3 162038400 5222 16579 1 2866752946 549068 1 13 1 : 700
7 159934323 5973494985 0904094762 1322298 10 1 726 1070596 : 750
1 164562990 98 16290555 2085247903 52406020 17 2799747 175 : 800
3427775927 786256 1943 20827505 13 12 18 156285 5 122248093 : 850
947 1234 145 1702237358 05772786 16 0086883829 5230459264 : 900
78780 17889 92 19902707 7690389532 1968 1986 15 1437803 149 : 950
974 1 106926 0886742962 2675756052 3 172777520 3536 139362 : 1000
1076738937 6455606060 592 1658946 675955 1900 4005559089 : 1050
5022953094 23 12482355 2 122 124 154 4400647034 0565734797 : 1 100
6639723949 4994658457 8873039623 0903750339 938562 1024 : 1 150
2369025 138 6804 145779 95698 12244 5747 178034 173 1264532 : 1200
204 1639723 2 134044449 4873023 154 1767689375 2 103068737 : 1250
880344 1700 9395440962 7955898678 7232095 124 2689355730 : 1300
9704509595 68440 17555 1988 192 180 2064052905 5 189349475 : 1350
9260073485 2282 10 1088 1946445442 223 1889 13 1 9294689622 : 1400
00230 14437 7026992300 780308526 1 1807545 192 88770502 10 : 1450
9684249362 7 135925 187 6077788466 5836 150238 9 13493333 1 : 1500
223 1053392 32 136243 19 2637289 106 7050339928 2265263556 : 1550
2090297986 4247275977 25655086 15 4875435748 2647 18 14 14 : 1600
5 127000602 3890 162077 7322449943 5308899909 50 1680328 1 : 1650
12 19432048 1964387675 8633 147985 7 19 1 13978 1 5397807476 : 1700
1507722 1 17 5082694586 3932045652 0989698555 678 14 10696 : 1750
8372884058 746 103378 1 0544439094 368358358 1 38 1 13 1 1689 : 1800
9385557697 5484 149 144 534 1509 129 54070050 19 4775486 163 : 1850
07542264 17 2939468036 73 1980586 1 8339 183285 99 13039607 : 1900
20 14455950 4497792 120 76 12478564 59 16 160837 0594987860 : 1950
06970 18940 9886400764 436 1709334 172709 19 14 33650 137 15 : 2000
Edit this life application
Interestingly, this number can be seen everywhere in nature and people's lives: the navel is the golden section of the whole human body, and the knee is the golden section from the navel to the heel. The aspect ratio of most doors and windows is also 0.618. On some plants, the included angle between two adjacent petioles is 137 degrees 28', which is exactly the included angle between two radii that divide the circumference into 1: 0.6 18. According to research, this angle has the best effect on ventilation and lighting of the factory building.
Architects have a special preference for 0.6 18… in mathematics. No matter the pyramids in ancient Egypt, Notre Dame de Paris, or the Eiffel Tower in France in recent centuries, there are data related to 0.6 18 … It is also found that the themes of some famous paintings, sculptures and photos are mostly at 0.6 18…. The artist thinks that placing the bridge of a stringed instrument at the position of 0.6 18 can make the sound softer and sweeter.
The number 0.6 18 ... is more concerned by mathematicians. Its appearance not only solves many mathematical problems (such as dividing the circumference into ten parts and dividing the circumference into five parts; Find the sine and cosine values of 18 degrees and 36 degrees. ), it also makes the optimization method possible. Optimization method is a method to solve the optimization problem. If it is necessary to add a chemical element to increase the strength of steel during steelmaking, it is assumed that the amount of a chemical element added per ton of steel is between1000-2000g. In order to find the most suitable dosage, it needs to be tested between 1000 g and 2000 g. Usually take the midpoint of the interval (i.e. 1500g) for testing. Then compared with the experimental results of 1000g and 2000g respectively, two points with higher intensity were selected as new intervals, and then the midpoint of the new interval was taken for experiments, and the endpoints were compared in turn until the most ideal results were obtained. This experimental method is called dichotomy. However, this method is not the fastest experimental method. If the experimental point is 0.6 18 of the interval, the number of experiments will be greatly reduced. This method of taking 0.6 18 of the interval as the test point is a one-dimensional optimization method, also known as 0.6 18 method. Practice has proved that for the problem of one factor, using "0.6 18 method" to do 16 experiments can complete the effect of "dichotomy" to do 2500 experiments. So Da Vinci, the great painter, called 0.618 ... the golden number.
Edit this paragraph 0.6 18 and warn.
0.6 18 and strategic campaign
0.6 18 is an extremely fascinating and mysterious number, and it also has a very nice name-the golden section law, which was discovered by Pythagoras, a famous ancient Greek philosopher and mathematician, more than 2,500 years ago. Throughout the ages, this number has been regarded as the golden rule of science and aesthetics by future generations. In the history of art, almost all excellent works have verified this famous golden section law. Whether it is the Parthenon in ancient Greece or the Terracotta Warriors in ancient China, the ratio of vertical line to horizontal line is exactly 1 to 0.6 18.
Perhaps, we have learned a lot about the performance of 0.6 18 in science and art, but have you ever heard that 0.6 18 has an indissoluble bond with the fierce and cruel battlefield of gunfire and bloodshed, and also shows its great and mysterious power in the military?
0.6 18 and weapons and equipment
In the era of cold weapons, although people don't know the concept of the golden ratio at all, when people make weapons such as swords, broadswords and spears, the law of the golden ratio has already been reflected everywhere, because weapons made according to this ratio will be more handy to use.
When the rifle for firing bullets was first manufactured, the ratio of the length of the handle to the length of the gun body was unscientific and unreasonable, which was very inconvenient for grasping and aiming. 19 18, a corporal named alvin york of the American Expeditionary Force reformed this rifle, and the ratio of the reformed gun body to the handle was exactly 0.6 18.
In fact, from the sharp edge radian to the apex of bullets, shells and ballistic missiles flying along the track; It is not difficult to find the golden ratio everywhere, from the best dropping height and angle of the plane entering the dive bombing state to the best bomb avoidance slope when designing the tank shell.
In artillery firing, if the maximum range of an indirect gun is 12 km and the minimum range is 4 km, its optimal firing distance is about 9 km, which is 2/3 of the maximum range and very close to 0.6 18. In battle deployment, if it is an offensive battle, the position of artillery position is generally 1/3 times of the maximum range from its own front, and if it is a defensive battle, the position of artillery position should be 2/3 times of the maximum range from its own front.
0.6 18 and tactical arrangement
Some wars that happened very early in the history of our country all followed the law of 0.6 18. During the Spring and Autumn Period and the Warring States Period, Jin Ligong led an army to attack Zheng and fought a decisive battle with the Chu army supporting Zheng in Yanling. Gong Li took the advice of Miao Benhuang, a traitor of Chu, and took the right-wing army of Chu as the main attack point, so he attacked Zuo Jun, a part of China's army. Attack the Chu army with another department, and gather the soldiers of the upper army, the lower army, the new army and the public to attack the Chu right army. The choice of its main attack point is just at the golden section.
A series of wars commanded by Genghis Khan should be the first military action that embodies the golden section law in the war. For hundreds of years, people have been puzzled why Genghis Khan's Mongolian cavalry swept across Eurasia like a hurricane, because the nomadic people's bravery, cruelty, cunning, good riding and shooting, cavalry mobility and other reasons are not enough to make a completely convincing explanation. Maybe there are other more important reasons? After careful study, we found the great function of the golden section law. The combat formation of Mongolian cavalry is very different from the traditional western phalanx. In its five-row formation, the ratio of heavy cavalry wearing helmets and vests to quick and agile light cavalry is 2:3, which is another golden section! You can't help but admire the genius of the horseback strategist. Strangely, the army led by such a talented commander is not invincible in all directions.
The Battle of Abela between Macedon and Persia is a successful example of Europeans using 0.6 18 in the war. In this battle, Alexander the Great of Macedonia chose the attack point of his army at the left-middle junction of the army of King Darius of Persia. Coincidentally, this part is also the "golden point" of the whole front, so although the Persian army is dozens of times more than Alexander's military forces, Alexander defeated the Persian army with his own strategic wisdom. The far-reaching impact of this war is still clearly visible today. In the Gulf War, the multinational forces used similar disposal methods to defeat the Iraqi army.
When two armies are at war, if one of them loses more troops and weapons than 1/3, it will be difficult to fight with the other. Because of this, in modern high-tech wars, military powers with high-tech weapons and equipment take a long-term air strike, first completely destroying the other side's troops and weapons above 1/3, and then launching ground attacks. Let's take the Gulf War as an example. Before the war, according to military experts' estimation, if the equipment and personnel of * * * and the National Guard were lost by air strikes by 30% or more, they would basically lose their combat effectiveness. In order to make the Iraqi army's losses reach this critical point, the US-British coalition forces repeatedly extended the bombing time by 38 days until they destroyed 38% of 428 tanks, 32% of 2,280 armored vehicles and 47% of 3 100 guns in the theater. At this time, the Iraqi army's strength dropped to about 60%, which was the critical point for the army to lose its combat effectiveness. That is, after Iraq's military strength was weakened to the golden section, American talents pulled out the "desert saber" and cut it at Saddam. It only took 100 hours of ground combat to achieve the purpose of the war. In this war known as "Desert Storm", General schwarzkopf, who created a miracle that only 100 people were killed in a great war, was not a master, but his luck was almost as good as that of all military art masters. In fact, what really matters is not luck, but the commander-in-chief who leads a modern army intentionally or unintentionally involved 0.6 18 in the war planning, which means that he was more or less blessed by the golden section law.
In addition, in modern wars, multinational armies often carry out specific offensive tasks by echelon. The strength of the first echelon accounts for about 2/3 of the total strength, and that of the second echelon accounts for about 1/3. In the first echelon, the troops devoted to the main attack direction are usually 2/3 of the total strength of the first echelon, and the auxiliary direction is 1/3. In defensive operations, the strength of the first line of defense is usually 2/3 of the total, and the strength and weapons of the second line of defense are usually 1/3 of the total.
Napoleon the Great was defeated by the golden section?
0.6 18 is not only reflected in the weapons and battlefield layout at a time and place, but also fully displayed in the macro-war with a vast territory and a long time span.
Napoleon the Great, a lean man, never thought that his fate would be closely linked with 0. 18. June, 18 12, is the coolest and pleasant summer in Moscow. After the battle of Borokino, which failed to destroy the Russian army, Napoleon led the army into Moscow at this time. At this time, he is full of ambition and arrogance. He didn't realize that genius and luck were disappearing from him at this time, and the peak and turning point of his career came at the same time. Later, the French army withdrew from Moscow in frustration in the heavy snow and howling cold wind. Three months of triumph, two months of climax and decline, from the time axis, when the French emperor overlooked Moscow through the flame, his foot just stepped on the golden section.
194 1 On June 22nd, Nazi Germany launched the "Barbarossa" plan against the Soviet Union and conducted a blitzkrieg. In a very short period of time, it quickly occupied the vast territory of the Soviet Union and continued to advance further to China. For more than two years, the Germans kept the momentum of attack, until the "Barbarossa" operation ended in August 1943, and the Germans turned to the defensive, and they were no longer able to launch an attack that could be called a battle against the Soviets. The Battle of Stalingrad, recognized by all war historians as the turning point of the Soviet Patriotic War, took place in1July after the war broke out, which was the golden point of the 26-month timeline of the rise and fall of the German army.
Edit the proof method of this paragraph
Let the length of line AB be A, point C be at the golden section near point B, and AC be B..
AC/AB=BC/AC
b^2=a*(a-b)
b^2=a^2-ab
a^2-ab+( 1/4)b^2=(5/4)*b^2
(a-b/2)^2=(5/4)b^2
a-b/2=(√5/2)*b
a-b/2=(√5)b/2
a=b/2+(√5)b/2
a=b(√5+ 1)/2
a/b=(√5+ 1)/2
Edit the golden section of this line segment (ruler drawing)
1. Let the known line segment be AB, the crossing point B be BC⊥AB, and BC = AB/2;
2. link AC;
3. Make an arc with C as the center, CB as the radius, and AC and D intersect;
4. Make an arc with A as the center and AD as the radius, and intersect AB at P, then point P is the golden section of AB.
The Parthenon in ancient Greece is a world-famous perfect building with an aspect ratio of 0.6 18. Architects found that the palace designed according to this ratio is more magnificent and beautiful; If you design a villa, it will be more comfortable and beautiful. Even doors and windows designed as golden rectangles will be more harmonious and pleasing to the eye.
In fact, in a golden rectangle, take a vertex as the center and the short side of the rectangle as the radius, make a quarter circle, cross the long side and a point, and make a straight line perpendicular to the long side. The new rectangle (not a square) generated at this time is still a golden rectangle, and this operation can be repeated indefinitely, resulting in countless golden rectangles.
Surprisingly, the human body itself is closely related to 0.6 18. Leonardo da Vinci, an Italian painter who is very good at human anatomy, found that human navel is located at 0.6 18 of body length. The throat is located at 0.6 18 of the length from navel to head; The elbow joint is located at 0.6 18 of the shoulder joint and finger length. The human body has four golden acupoints, namely navel, throat, knee and elbow, which are also the four key points for human survival.
Edit this golden section and the relationship between people.
The golden section is closely related to people. The latitude range of the earth's surface is 0-90 degrees. If divided into the golden section, 34.38-55.62 is the golden zone of the earth. No matter from the aspects of average temperature, annual sunshine hours, annual precipitation and relative humidity, it is the most suitable area for human life. Coincidentally, this region covers almost all the developed countries in the world.
The golden section in human aesthetics
The aesthetic observation of human body is influenced by many factors such as race, society and individual, which involves the dialectical unity of form and spirit, part and whole. Only when the whole is harmonious and proportional can it be called complete beauty. The issues discussed this time are mainly some laws of aesthetic observation.
(1) The golden section law was discovered by Pythagoras, an ancient Greek mathematician in the 6th century BC, and later called it the golden section by Plato, an ancient Greek aesthete. This is actually a numerical proportional relationship, that is, dividing a line into two parts. At this time, the ratio of long segment to short segment is exactly equal to the ratio of the whole line to long segment, and its numerical ratio is 1.6 18: 1 or 1: 0.6 18, that is to say, long. 0.6 18, with strict proportionality, artistry and harmony, contains rich aesthetic value. Why do people instinctively feel the existence of beauty for such a proportion? In fact, this is closely related to the evolution of human beings and the normal development of human bodies. According to research, in the process of evolution from apes to humans, the skull and leg bones changed the most and the body shape changed the least, because it was similar to gold. Many proportions in the human body structure are close to 0.6 18, so the beauty of the human body is fixed in the historical accumulation of hundreds of thousands of years. Humans are most familiar with themselves, and they will inevitably regard the beauty of the human body as the highest aesthetic standard, which is derived from things and people and from people and things. Any object similar to the human body likes it and feels beautiful. Therefore, the golden section law, as an important law of formal beauty, has become an aesthetic classic law handed down from generation to generation, and it has never failed! In recent years, when studying the relationship between the golden section and the human body, it has been found that there are 14 "golden points" (the ratio of short segment to long segment of an object is 0.6 18), 12 "golden rectangles" (the width-length ratio is 0.6 18) and two "golden rectangles". Golden point: (1) navel: the dividing point between the top of the head and the bottom of the foot; (2) Throat: the dividing point between the top of the head and the navel; (3), (4) Knee joint: the dividing point between navel and sole; (5) and (6) Elbow joint: the dividing point between shoulder joint and middle fingertip; (7) and (8) nipple: the dividing point on the longitudinal axis of trunk nipple; (9) Eyebrow point: the dividing point between hairline and chin base 1/3 and 2/3; (10) Subnasal point: the dividing point between hairline and chin base 1/3 and 2/3; (1 1) lip bead point: the dividing point of 1/3 and the middle and lower 2/3 of the distance between the nasal floor and the mental floor; (12) straight point of chin labial groove: the dividing point between 1/3 and upper middle 2/3 is the distance between nose base and chin base; (13) Left corner point: the boundary point between the left 1/3 and the right 2/3 of the horizontal line of the oral fissure; (14) Right corner point: the boundary point between the right 1/3 and the left 2/3 of the horizontal line of the oral fissure. Golden section law of face: golden rectangle of face with three courts and five eyes: (1) Body contour: shoulder width, hip breadth average width, and height from shoulder peak to hip base; (2) Facial contour: the horizontal face of eyes is wide, and the distance from hairline to the bottom of chin is long; (3) Nose contour: the alar is wide and the distance from the nasal root to the nasal floor is long; (4) Lip contour: At rest, the distance between the peaks of the upper and lower lips is wider, and the distance between the lips is longer; (5) and (6) Hand contour: the transverse diameter of the hand is wide, and the average length is taken when the five fingers are together; (7), (8), (9), (10), (1 1), (12) Maxillary incisors, lateral incisors and canine profiles (three on the left and three on the right): the largest mesial and distal diameters.
Golden Index: (1) Nose and lip index reflecting the relationship between the nose and mouth: the ratio of the width of the nose wing to the distance between the corners of the mouth is close to the golden number; (2) Eye-lip index reflecting the relationship between eyes and mouth: the ratio of the distance between the corners of the mouth and the outer canthus of the eyes is close to the golden number. As one of the standard scales of bodybuilding, 0.6 18 is beyond reproach, but it has "fuzzy characteristics". Like other aesthetic parameters, it has an allowable range of change, which is restricted by ethnic, regional and individual differences.
(2) The proportional relationship is to express the beauty of the human body with figures and compare them according to certain benchmarks. The method of judging the proportional relationship between a certain part of the same human body and the human body is called the same body method (see the middle picture). Divided into three groups: coefficient method, constant finger height and length index, such as human body sitting five times and standing seven times, that is, the height is five times the height of head when sitting, and 7 or 7.5 times when standing; Percentage method, the body length is regarded as 100%, and the proportion of all parts of the body in it; Dichotomy: that is, the human body is divided into two parts, most of which are from the foot to the navel, and a small part is from the navel to the top of the head. Standard face, its length-width ratio is coordinated, which accords with three stops and five eyes (see the right picture). Three stops refers to the length of the face, and the distance from the hairline of the head to the chin is divided into three equal parts, that is, from the hairline to the eyebrows, from the eyebrows to the tip of the nose, and from the tip of the nose to the chin. Each equal part is called one stop and three stops; Five eyes refers to the width of the face, and the frontal projection length between the two ears is the length of five-eye fissure. Except for eye fissure, the distance between the inner canthus and the outer canthus is the length of one-eye fissure, and the distance from the outer canthus to the ear is the length of one-eye fissure.
Medicine is inextricably linked with 0.6 18, which can explain why people feel most comfortable in the environment of 22 to 24 degrees Celsius. Because human body temperature is 37℃, the product of 0.6 18 is 22.8℃, and the metabolism, circadian rhythm and physiological function of human body are in the best state at this temperature. Scientists also found that when the external environment temperature is 0.6 18 times of human body temperature, people will feel most comfortable. Modern medical research also shows that 0.6 18 is closely related to the way of keeping in good health, and the dynamic-static relationship is 0.6 18, which is the best way of keeping in good health. Medical analysis also found that people who eat 60% to 70% full will hardly have stomach problems.