Basic information
Chinese name: eight-array map
Classification: array methods
Creator: Zhuge Liang
Content: According to armor evasion, it can be divided into eight categories: life and injury.
Features: inner ring and outer ring
Time: Three Kingdoms
Introduction to array method
Zhuge Liang's "Eight Arrays Map" absorbs the arrangement and combination of minefields and Taoist gossip, and is compatible with astronomy and geography. This is a rare array in ancient times. There is a hymn of "Eight Commandments of Merit and Virtue, Great Use of Tibet, Eight Faces Fortress Standing in Its Name" in the Genealogy of Zhuge Family in Shentang.
Celestial array praise: Celestial array 16, outer circle, and wind. Its image is the sky, the head of the array and the head of the soldiers. Make good use of the three armed forces, and its shape is not biased.
Praise of the ground array: the shape of the ground array 12 is square, and the four corners are mainly clouds. The formidable enemy is unpredictable, inexhaustible, independent and worthy of Yang.
Ode to the wind: the wind is invisible, attached to the sky and turned into a snake. Its meaning is getting mysterious, wind energy drums things, everything is there, snakes can be there, and the three armies are afraid of it.
Ode to the cloud: the cloud is attached to the ground, but it disappears at first and becomes a bird. Their modeling is successful, birds can stand out, clouds can be ever-changing, ever-changing, golden voice.
Dragonfly array praise: Heaven and earth rush behind, Long Bian has claws and feet, back and chest. Diving is unpredictable, moving infinitely, and the formation is impressive. It is named Dragon.
Tiger wing array praise: heaven and earth rushed forward, turned into tiger wings, lying tiger will fight, filling its strength. Huaiyin used it, turned it into a promise, and the meeting under the notice was unpredictable.
Bird Xiang array praise: if a bird wants to fight, it must fly first, and it must be in the sky, and the bird must hide. Under the trial, there will be slanders and surprises.
Snake coil array praise: wind is a snake coil, connected to the sky, surrounded by potential energy, showing flexion and extension. In the four wonders, if you are next to a tiger, you will become a Hengshan Mountain, and your head and tail will be trapped.
The formation of "Eight Arrays" is based on the four fields of Gankun and Genggen, which are the positive array of heaven and earth and the positive array of soldiers respectively. The northwest is dry land, and the dry land is the sky array. The southwest is Kun land, and Kun is the ground array. The land in the southeast is a place of mourning, and mourning is a wind array. There are people with roots living in the land of Northeast China, with dense mountains and rivers. Water, fire and Jin Mu are the four strange arrays of dragons, tigers, birds and snakes. The arrangement is that there is a dragon (array) on the left, a white tiger (array) on the right, a suzaku (array) in front and a Xuanwu snake (array) behind, so the imaginary one will live in it. Eight arrays are distributed in the general array, which consists of eight, eight and sixty-four arrays, plus 24 ranger arrays. 32 arrays of Yin and Yang, 24 arrays of Yang and 24 arrays of Yin. There are 24 squadrons. After the 60 th Squadron, all the marches, formations, joint operations, doubts, air and logistics were in the Squadron. There is a hymn praising the power of "Eight Arrays": "Arrays can accommodate each other and teams can accommodate each other; The past is the back and the future is the front; There is no speed to advance, and there is no hesitation to retreat; Four heads and eight tails, headed by touch; The enemy rushed in and saved both ends; Odd and positive, endless cycle; Head-to-tail correspondence, hidden and unpredictable; It' s like a god, and it' s suitable for its own situation. " "Eight array method, at that time two array, the first world war as a precaution; Chinese and foreign countries are light and heavy, combining rigidity with softness, each other's reality, subject and object have changed, and latitude and longitude have also changed. It is precisely because of the sudden progress in foundation and strangeness that many of them are due to interaction and logistics support. "
"The History of the Three Kingdoms, Shu Zhi and Zhuge Liang Biography" records: "Ming is better at ingenuity, and the profit and loss are connected, and the horses are flowing, all of which are unexpected; Derive the mound method and make an eight-array diagram. What is the salty desire? " As the battle formation and force deployment map in ancient wars, Zhuge Liang's original "map" is no longer visible today, but there is a so-called "eight-array map base", which is said to be Zhuge Liang's training ground. According to Li Daoyuan's Notes on Water Classics and Rivers, this "figure base" is based on fine stones. There are three places: one is in Mianxian County, Shaanxi Province; Chongqing Fengjie family; One is Sichuan New, especially Fengjie. Fengjie was originally an ancient fish in Fuxian County, and now it is located in Fengjie City in the east of Bai Di. In the Three Kingdoms, Liu Bei was renamed Yong 'an, and Tang was renamed Fengjie.
Zhuge Liang's "Eight Arrays Map Base" is said to be on the Nanjiang Beach in Yong 'an Palace. According to Li Zhi's Taibai Silence in the Tang Dynasty, Li Jing's Wen Dui and other records, as well as the deduction of contemporary scholars (see the back cover of the ninth issue of Sun Tzu's Art of War, 1994), Zhuge Liang's "Eight Arrays" are now marked as follows:
According to "The History of the Three Kingdoms _ Shu Zhi _ Zhuge Liang Biography", "(Ming) deducts the art of war as an eight-array map." Later generations examined its remains and drew them into figures. See Wu Beizhi. According to records, there are three remains of the Eight Arrays Map: Water Mirror _ Mianxian Shuizhu and Hanzhong Fuzhi are located in the east of Zhuge Liang's Tomb in Mianxian County, Shaanxi Province; Taiping Universe is said to be near Nanjiang in Kuizhou, Sichuan (now fengjie county), and Ming History is said to be in Mi Mou Town, North Sanli, Xindu District, Sichuan.
Eight-array diagram is derived from the theory of change. Eight-array diagram starts from the team and becomes the camp array. The number of five elements produced by martial arts is also the image of gossip in the array. The number of soldiers is also twenty-four. So five people are five, ten people are a team, plus five flag soldiers, fifty is five, and finally the number is generated. After a while, there are eight teams with 440 people; Eight arrays are one, with 3520 people, but they are very small and can be changed into two arrays. Eight are one general, with 28,160 people, but they are successful, and the eight arrays are variable, ending in sixty-four hexagrams. Eight generals and one army, 225,280 men, won a great victory. So Han Xin said, "More is more." . His troops are stationed in Zagreb, with four formations on the left and four formations on the right, which are divided into two floors and are all teenagers. There are four columns on the left and four columns on the right, which are also divided into upper and lower floors. There are four generals in the left column and four generals in the right column, which are also divided into two layers. Its array can be composed of six China arrays with 1,000 people, with 60 steps on each side and 3,520 people as small as it. Eight can be deployed, with 120 steps on each side, and 18 160 people can be obtained. 600 steps on each side, a total of 225280 people. Take 1 100 steps on each side, which is a small achievement. Each team is 18 steps apart and wins. Each team is 86 steps apart, which is great. Each part is 172 steps apart, and the rest is one step inside. Join the Leaping China Army. Tin Hau Chong No.4 and Northeast Northwest Fengyun No.2, Hou Di Chong and Hou Di Chong No.3, Hou Di Chong No.4, left and right Tian Hou Chong No.4, ground front four, left and right two, ground front five, ground front two, left and right two, ground front six, southeast and southwest Fengyun two. Wen Zhongjun gave the order, and each array was intermittent. 1256, put out the 36-step checklist first. After the war, it was the first time that it was collected as an eight-array map. The second time, the number 3478 came out for the first time, and the list was laid out in 36 steps. After the war, eight arrays were still divided into two arrays. Triple the number. In the first round, there will be another team, and the number in each array is 5 or 6. After the second array, the list will be expanded in the first 36 steps. After the war, eight arrays were still collected as the third array. Raise the number four times, and the second array is divided into groups, each array has seven or eight numbers. After the third array, the list expands 36 steps. After the war, we still collected eight arrays as the fourth array. In the second eye, Zhong Jun raised the fire drum, and every time it was another team, 1357 did not move; Go out at No.2468 18; Four days ago, I rushed to the top; Four days later, I rushed to the rear; Tianheng 16 ranks at both ends; Twelve rows of earth axes are in the middle; The front of the ground rushed six times; After rushing to the ground, six arrays are behind; Eight winds are in four dimensions; Four corners and eight arrays; Eight array method is also natural. The 24th Squadron of Ranger is divided into two sentry posts and twelve squadrons, and the three squadrons are designated as No.1 and No.4 in total, which are divided into two floors. The team entering the upper opening and closing room is the same as the eight-array diagram. However, at the next camp, Sai Huan fell behind. Winning the shock depends entirely on the rangers, but it can be sudden. The general idea of deducing the eight-array diagram begins with the team. There are several mathematical concepts involved here: Wu, five people are one Wu, with the number of five elements, namely gold, wood, water, fire and earth; This array, the image of gossip, gossip refers to the image of doing, making friends, leaving, shaking, training, talking, rooting and Kun, including everything in the world; Sixty-four hexagrams, originated from gossip, are used to understand the images of all things contained in gossip more intuitively; Twenty-four Qi refers to the twenty-four solar terms in a year, namely, beginning of spring, rain, fright, vernal equinox, Qingming, Grain Rain, Changxia, Xiaoman, Mang, Summer Solstice, Xiaoshu, Dashu, beginning of autumn, Chuchu, Bailu, Autumnal Equinox, Cold Dew, Early Frost, beginning of winter, Light Snow, Heavy Snow, Winter Solstice, Slight Cold and Severe Cold. The number of generations is fifty-five, which means that the sum of one, two, three, four, five, six, seven, eight, nine and zero (ten) equals fifty-five, which is the number of generations of all things in the world. Knowing these mathematical concepts, it is not difficult to understand the eight-array diagram. This paper introduces the specific figures of the basic numerical units in the eight-array diagram: Wu, Team, Array, Ministry (), General (Zhongcheng) and Army (Dacheng). These numbers have their own rules, but there is a rule, that is, starting from Wu, the base number of the team (that is, the algebra and the large derivative number) is 55×8=440 (array) × According to this rule, you can also take the army as a whole, and 55 troops are a large number, multiplied by 8, and go on indefinitely. In this way, large arrays contain small arrays, which are endless and unpredictable. Understand this secret, can transport thousands of troops, easily available, so Han Xin will fight, and the more the better. This paper introduces the arrangement order of eight-array diagram. The orientation of each unit and the distance between them are infinitely variable under certain laws. Each unit has its own code name, and its behavior is subject to the orders of the China Army, and it is not allowed to make decisions without authorization. In this way, the China army waved flags and shouted, United as one, and acted with one person, forming an overall joint force, fighting like a river and overwhelming; The defense is as firm as Mount Tai. This is the secret that the Eight Arrays make people afraid to offend. On the day of the eighth array command, every morning, each team will go to various places, seven rows and seven floors, and four teams with more than 3,000 people will form a team; More than 20,000 people and four in a row; More than 200 thousand people, four parts into one; They are stationed on the second floor. When China's army blew its horn, China's army listened to the official "ma bu" or horse stance just look flag, handed it back to the teams and issued orders to the public. No noise or confusion is allowed. Hearing the first shot of China's army, the infantry of each team assembled and the cavalry untied their horses. At the second sound, the cymbals rang, the infantry raised the flag and the cavalry mounted. The third sound sounded, and the team moved slowly between the drums, step by step, until the eighteenth step, when the China army fired a gun, waved the flag three times and shouted three times. The horn sounded, the drums sounded, and the battle was in a hurry. Maria's orders were distributed. Gong sounded, crossbows and guns went into battle, singing and killing three times. Bang, bang, the cymbals rang and the team was stationed in the second array. After counting three drums, each array will come out again, slow down to the first 18 steps of the second array, fire a gun, wave a flag, shout, blow the horn and drum, and hurry for 18 steps. After the bell rang, the list was spread out, gongs and drums were loud, and bows and cards went into battle. The loyalist sang protection three times. The clang rang and the cymbals rang, and the team entered for the first time. Light the drum again, and the team behind will go all out. Slow down before 18, fire a gun, raise the flag once, and shout. The horn sounded, the drums sounded, and the battle was in a hurry. Maria's orders were distributed. The gong sounded and the crossbows and guns went into battle. They sang three times, screaming and banging cymbals, and the team was stationed in three arrays.
After four drums, the second array came out. Slow down the first 18 step of the third array, fire a gun, wave a flag and shout. The horn sounded, the drums sounded, and the battle was in a hurry. Maria's orders were distributed. Gong rang and cymbals rang, crossbow guns still put on airs, three big songs sang together, cymbals beat drums and shouted, and the team entered the fourth array. Zhong Jun erected three rockets, lit drums, took the first 18 steps in each array, and camped in their original places, left and right, left and right, lined up, all facing outward, until Maria stopped, the battle horn sounded and the list was spread out, as shown in the general plan of the array. The corners are hooked together, and in order to form eight arrays, the team will shout and accept a postscript. If you want to perform a change of array, you must first set up two pairs of golden drum flags, a pair of musical instruments, two golden drums, two gongs, twelve drums, two cymbals and four unified drums at the outpost. China's army's golden drums and flags are still the same, and they listen to the sentries in the array. China's army will raise the Yellow Flag as a sign of change. One shot and two arrays, covering the sky and the ground. Drum a little, the array will slowly deploy to the south, and the array will slowly deploy to the north, each to the border. A flag was raised, a cry was raised, the horn sounded, and the drums sounded. They hurried to the camp. Maria stopped and spread her hands and feet. The gong sounded and the crossbows and guns went into battle. They sang three times to protect each other, screaming and shouting, the team is over. China's army fired three rockets, both of which moved, returned to the general array, played the drums of victory, sounded the horn and whistle in unison, and returned to the original place. If you change the array again, it will be the same as before. When listening to the left whistle, we should use a flag puller in the array, and the China army raised five flags and five dizzy flags, which was the second change. The second gust of wind started to fall, fired a shot and drummed. The wind array team will slowly deploy the wind array to the west. The cloud array team slowed down to the east and deployed the cloud. When he went into chaos and returned to camp, he set a precedent, but he sang and killed three times. Change the formation again, the right whistle enters the village, the Chinese army raises the green and white flag as the third change, and the dragonfly and tiger wings are fired with one gun and one drum. The dragon array team arranged a dragon array in the southeast. The tiger array team deployed tigers in the northwest. However, when you sing "Chug-Chug" three times, it will stop bumping, which is the same as the previous example. If the array changes again, the sentry will enter the array. Red and black flags were raised in the fourth China Army. The second array of birds flying snakes flew a shot. Drum, bird formation team to the northeast bird formation The snake array team deployed a snake array in the southwest. But when you sing it three times, the title is still the same as before. The main idea of this department is to write the drill process after the formation of the eight-array diagram. Arranged in eight formations is not enough to face the enemy's strain. The power of the eight-array diagram lies in the infinite changes after the array is formed. These changes are organically unified, which can be said to affect the whole body, so there must be a unified command. Unified command depends entirely on orders. With a wave of the banner and an order, the marching and manners of each array are controlled by it, and no rash action is allowed. Military musical instruments, such as trumpets and drums. , often used for orders. Each instrument represents a certain degree and is used alternately. The whole formation is constantly changing and unpredictable. When changing the formation, it was also mixed with the slogan of thousands of people shouting together, which caused a shocking momentum. The drill is mature, it is difficult to defeat the enemy, and the spirit is enough to beat the three armies. The potential is enough to destroy the strong and the weak, and the sound is enough to destroy the enemy's ambition. Therefore, a gentleman uses it to win without fighting.
If the difference between inside and outside is all day, there will be no clouds. Use the team outside the general array to take the son of heaven to the front of the second queue and live in the south. It is said that the wind is connected with the sky, the southeast and southwest winds rush to the front and middle of the four queues, the left and right days rush to the two ends of the two queues, the left and right days rush to the back and middle of the four queues, and the left and right days rush to the back and two dimensions. If the interior is divided into the ground, there will be clouds and no wind. Use the team in the middle of the general array to rush to the front of the third queue with the left ground and live in the north. It is said that clouds are attached to the ground, forming a square with two rows of clouds in the northeast and northwest, three rows of left and right rear earth axes, three rows of left and right front earth axes, three rows of right front earth axes and two rows of clouds in the southeast and southwest. This part discusses the changes of the sky screen array and the foundation array. On the basis of the general array, the sky-covering array changed the outer layer of the general array, instead of using cloud array, it occupied four dimensions with northeast, northwest, southeast and southwest four winds arrays, and the changes were arranged in their own order. Because wind lives in four dimensions, it is said that wind and sky are round. The ancients said that the sky is round and the circle is covered, so it is called the sky-covering array. This is the result of bifurcation change on the basis of eight-array diagram. The ground-borne array has four corners, namely, southeast, southwest, northeast and northwest, instead of a cloud array with left ground rushing forward, right ground rushing forward in the back, left and right ground axes and right ground rushing backward and left ground rushing forward in the middle. This is called a cloud attached to the ground. The ancients said that the sky is round and the place is full of weeks, so it is called the earthquake array. If the left and right are divided into two and the right becomes windy, there will be no clouds. Use the right half of the total array to rush to the front of the second team and stay in the west. It is said that two columns of northwest and southwest winds rush two-dimensionally in front of the sky, three columns of right front earth axes in the front middle, four columns of right front and acquired balance around, two columns of northeast and southeast winds at both ends, three columns of rear earth axes, three columns of front and rear earth axes respectively, and the rear two columns are balanced and sharp in shape. If the left part becomes a cloud, there will be a windless cloud. Use the left half of the total array and the left sky to rush to the front of the second team and occupy the east. With the left front and back, three columns are two-dimensional, the left rear earth axis is three columns in the front center, the left front and back celestial scales are four columns in the left and right, the left front earth axis is three columns in the celestial scales, the southeast and northeast clouds are two columns at both ends, and the left front two columns are located in the west. Two rows of clouds in the southwest and northwest weigh two dimensions, which means that the clouds are attached to the balance, and the shapes gather and disperse. In this part, we will discuss the changes of wind and falling clouds. The wind blowing array is to remove the cloud array with the right half of the array, that is, the right part. Take the west as the front, and rush ahead with the weather. Northwest wind and southwest wind are in the first two dimensions. The right front earth axis is in the front center, the right front and rear celestial spheres are balanced around the earth axis, the southeast and northeast winds are arranged at both ends, the rear earth axis is in the back center, the right earth is in the back, the left earth is in the front and the left earth is in the back. This picture is sharp because of the balance of the wind, and it has become a bully, so it is called the wind array. Dark clouds hang low. That is, the cloud array is used instead of the wind array, and the left half of the total array, that is, the left part, is used to form the cloud vertical array. Taking the east as the front, the left sky as the front, the left earth as the front two dimensions, the left rear earth axis as the front middle, the left front and rear celestial sphere scales are arranged around the earth axis, the southeast and northeast clouds are arranged at both ends of the celestial sphere scale, the left sky is in the front and rear, and the northwest and southwest clouds are in the back two dimensions, so it is called cloud vertical array. The front and back points into the third and into the dragonfly array, with clouds and no wind. With the second half of the array, the southeast and northeast clouds are the two wings. Left and the day after tomorrow are the first of the first and fourth queues. It is said that the cloud is behind the dragon, and the image of the dragon is also a dragon. The left sky is behind the second queue, the left ground is behind the third queue, the right ground is behind the third queue, the right day is behind the second queue, the right day is behind the fourth queue, and the clouds in the southwest and northwest are behind the two queues. If the former division becomes a tiger wing array, there is wind and no clouds. Use the first half of the total array, take the northwest dimension of the northwest and southwest wind queues as the foot, balance the front parts of the four queues with the right front line as the head, balance the second parts of the two queues with the left and right sides of the ground axes of the first three queues as wings, balance the second parts of the ground axes of the two queues with the left front line, balance the four queues with the tail of the left front line, and balance the two queues with the northeast and southeast lines as the back feet. This part is about the changes of dragonfly array and tiger wing array. Dragonfly array uses the second half of the array, that is, the rear part, instead of wind and clouds. It is distributed in the southeast, with the southeast and northeast clouds as two wings and the left rear balance as the leader, followed by left rear impact, left rear impact, left rear axle, right rear axle, right rear balance and right rear balance, with the right rear balance behind the northwest temple and the southwest and northwest clouds as two dimensions. The Yijing cloud follows the dragon, so it is called the dragonfly array. Tiger wing array, the first half of the total array, is windy and cloudless, with the northwest as the front, the right balance the day before yesterday, the northwest southwest wind as its feet, the right balance behind the day before yesterday, the left and right front axles as wings, the left and right front axles as wings, the ground axis behind the left balance the day before yesterday, the left balance the day before yesterday as the tail, and the southeast wind in the northeast as the tail. According to the Book of Changes, the wind moves with the tiger, so it is called Tiger Wing Array. The four corners are divided into the fourth change, and the northeast and southwest corners are in a flying formation, with clouds and no wind. With the teams at two corners of the total array, the second queue in front of the northeast is the head, the second queue in front of the right queue is the tail, the third queue in the left rear axle is the right, the third queue in the right front axle is the left, the fourth queue in the left rear axle is the right, the third queue in the left front, the third queue in the left rear, the third queue in the right front, the third queue in the right front, the third queue in the right front and the third queue in the northeast and southeast clouds are the two wings. The northwest and southeast corners became a snake flat array, with wind and no clouds. With teams at two corners of the total array, three queues on the right rear ground axis lead the southwest, three queues on the left front ground axis drag behind, four queues on the right rear balance the right side, four queues on the left front balance the left side, three queues on the right rear balance the right side, three queues on the left front balance the left side, two queues on the left rear balance the right side, two queues on the left front rush to the left, two queues on the northwest rush to the right, and two teams on the southwest soar into the sky.
This part is about the changes of bird flying array and snake flat array.
The change of bird flying array is to use northeast and southwest corners in the general array diagram, and to use cloud array instead of wind array. Take the northeast as the front, the left sky as the front, and the right sky as the back. Left rear axle, left rear balance and left rear thrust are on the right, northeast and southeast clouds are on the right, right front axle, right front balance and right front thrust are on the left, and northwest and southwest clouds are on the left. This kind of cloud is attached to the balance and looks like a bird, so it is called a bird flying array. Snake array, using the northwest corner and southeast corner of the general array diagram, using wind array instead of cloud array. Southwest is in front, right rear axle is in front, right front axle is behind, right rear balance, left rear impact, right rear impact, northwest wind and northeast wind are listed on the right side of the earth axis in turn. The left front is horizontal, the left ground is forward, the left front is forward, and the southwest wind and southeast wind are on the left. This array looks like a snake coil because the wind is attached to the shaft, so it is called a snake coil array. Zhuge Wuhou deduced the art of war and made an eight-array diagram. Meng Huo's point of view says: "Gong Tianwei is also". Sima Yi was indeed, as he said, "a genius in the world". Strict obedience means that it comes from the wind and holds scriptures, so it belongs to Popo. Those who hold the machine text rely on it, not the wind behind it, but the note of the eight arrays. Du Gu's portrait is written outside the Yellow Emperor's book, which is not true. Malone praised it eight times, still holding a note with machine words. Seeing that he had asked the right person, Li also wrote a fake book. There are four marks in the picture: one in Mianyang, one in Xindu, one in the belly of a fish and one in heather. It has been unknown to find Mianyang, worship the tomb of Wuhou and visit its old base. I've heard that Xindu and Heather are also broken, but they can't pass the exam, but those with fish bellies are still the same. Let people see that 60 has the first four bases and eight arrays. Twenty-four base rings are in the latter, but the moon array is also. There are four in sixty, and changeable hexagrams are also very important. There are four in twenty, and the painting of Yi is also. The hexagrams are determined by the party, so they are like eight arrays. Painting begins with a stick, but it is like a moon array. When the hexagrams are drawn, they are born. The wall door is the image of yin and yang. People holding strange hands are also virtual images. The odds are all changing here. Odd is also right, right is also strange, mutual use, endless. Huan Wen said, "I'm a Changshan snake. Nonsense. Changshan snake is called straight and straight, and it is also high and straight, not an eight-array map. " Li Quan is too white to pass the Yin Sutra, the clouds of heaven and earth are positive, and the dragons, tigers, birds and snakes are strange and empty. As for those who teach war without planning, it is particularly absurd. The well-deserved soldier in Shu stole the soldiers and gave them a letter of discussion. The inspector went to Hanzhong for deduction because he took the eight-array map. Sixty-four bases are divided into inner, front and back, left and right, and four corners, forming eight arrays, opening and closing vertically and horizontally, hooking and bending, and each has its own organization to practice it, while martial arts is self-disciplined and impressive. I took the exam three times and left a note on the left, thinking it was a secret. Alas, those who abandon the battle are stupid, and those who hold the battle are stupid. Peace training is like holding a weapon. If you point with your arms and win at random, you will not be able to deal with the enemy. This is because of God's understanding. This part talks about the origin of the Eight-Array Diagram, the evaluation and understanding of the Eight-Array Diagram by famous military scientists in past dynasties, weighing various viewpoints, and finally talking about the basis for compiling this book and clarifying my views on the mechanism of the Eight-Array Diagram.