Japanese language 日本語

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Japanese garden of stones. geometrical concepts of a philosophic stones garden Solutions of mysterious harmony of a Japanese garden of stones. This site section describes geometrical concepts of a Japanese garden of stones, and also describes principles according to which it is possible to arrange stones and other objects of world around. The first page proves geometrical laws of the Japanese garden of stones in The Temple Ryoanji or Ryoanzi in city of Kyoto. The second page considers some geometrical principles according to which it is possible to create a correct Japanese garden of stones. The third page shows calendars which can be seen in arrangements of stones of a Japanese garden and in lines of a heptagonal geometrical network in the event that stones are mobile. The fourth page describes logic puzzles and games in which it is possible to play if stones of a Japanese garden are mobile. The fifth page shows a puzzle according to which it is possible to arrange stones of a Japanese garden, and also describes the numerological and geometrical idea determining quantity of stones and the sizes of garden in the Japanese temple Ryoanji. The sixth page shows schemes according to which points of a heptagonal network of lines and stones of a Japanese garden can be compared to letters of the Latin alphabet. The seventh page compares stones of a Japanese garden to letters of the Russian alphabet and gods of Vedic mythology, and also compares to numbers in numerology and gods of ancient Greek mythology. Besides the seventh page considers geometrical concepts of a Japanese garden of stones from the point of view of human mutual relation according to ratio of stones with numerological numbers, and according to ratio of numbers with dates of birth of people and numerical values of letters in names of people. The eighth page results drawings and methods of geometrical measurements according to which it is possible to draw a heptagonal network of lines and to arrange stones of a Japanese garden on place. The ninth page describes points of a Japanese garden of stones and a heptagonal network of lines where geometrical proportions are perceived most harmoniously, that is possible to take into account at a choice of a position of the observer. And also gives the information on stone spheres which could be objects of ancient megalithic constructions.

The traditional Japanese garden of stones.
geometrical laws of harmony

The traditional Japanese garden of stones is a systematic and harmonious arrangement of objects on area which is in a vision of the observer and is space where the observer sees objects and perceives topology of a harmonious arrangement. Or it is possible to tell that the Japanese garden of stones is a kind of space which is connected to position of the observer and forms a field of vision where the observer perceives a harmonious arrangement of objects.
Usually gardens of stones are located near temples and are a part of the architectural plan, namely form space which is external continuation of an interior. And in essence gardens of stones form space where the harmonious arrangement of stones creates impression of harmony of world around, and contributes to the pacified contemplation or reflection (meditation).
It is considered that the first garden of stones was created in the temple Ryoanji or Ryoanzi in Kyoto in ancient capital of Japan by the well-known master of Zen Buddhism whose name is Soami (1480-1525). It is the most known Japanese garden of stones, which otherwise called The Philosophic Garden or The Garden Ryoanji, and in essence this garden is a canon which determines principles and rules according to which it is necessary to have stones. Though not in all Japanese gardens of stones this canon is observed, but nevertheless principles and rules of the garden of stones in the temple Ryoanzi were basic initially.
Garden in the temple Ryoanzi is the small rectangular territory from the east to the west of 30 meters and from the south to the north of 10 meters where 15 stones (rocks) are collected in five groups with three stones in each group.
Pay attention that numbers five and three are basic in Chinese numerology which was borrowed by Japan alongside with the Buddhism, and consequently 15 stones there are in the garden of Japanese temple Ryoanzi as number 15 turns out at multiplication of number 3 to number 5.
Look he information on numbers 5 and 3 in Chinese numerology on pages of other site:
www.emotions.64g.ru/prof2/pro1en.htm
Near to territory of the garden there is the temple pavilion where there is a place of contemplation ordered by tradition. If to look at the garden from this place then it is possible to find out that apparent chaotic arrangement of stones has bewitching influence on people, namely contemplation of stones creates impression which allows to concentrate and find a harmonious condition of consciousness. This impression of harmony seems inexplicable as people notice a mysterious riddle which creates impression of bewitching harmony in the arrangement of stones, but can not explain this riddle since when in 15 century the garden of stones in the temple Ryoanzi was constructed.
In some cases people compared stones to clouds which are floating in the sky and which create sensation of quiet and slow movement that involves consciousness in a condition of the pacified rest. Or people compared stones to islands in the sea which the man sees as if from height of the bird's flight, that also involves consciousness in a condition of rest and creates impression of movement which similarly to smooth movement of a bird.
Zen Buddhists saw in beauty of the garden of stones in the temple Ryoanzi some inexplicable display of an incomprehensible nature of life and some image of the incomprehensible esoteric law according to which there is a universe and life is carried out, that coordinated to principles of the Zen Buddhism which denies understanding of the world but supposes the not realized and spontaneous following to laws of the world. Though actually laws of a universe and harmony of a nature, and including mysterious harmony of the garden of stones of the Japanese temple Ryoanzi, have an explanation in the certain geometrical laws. Namely the secret of the garden of stones can be understood if to see a geometrical network of lines which form the invisible geometrical drawing, that is shown on the chart:

The sight from the satellite on the garden of stones in the temple Ryoanji is shown at the right. Under a roof in pavilion there is the statue of Buddha and the place of contemplation.

On the left chart the grey rectangular shows borders of the area where 5 groups of stones are located, that is shows borders of the garden of stones.
Point A in the bottom of the chart approximately corresponds with the centre of temple pavilion and this point is a place of contemplation. Namely the point A is in apex of a heptagon which forms a geometrical network of lines, and accordingly this point is a place which allows to see the arrangement of stones correctly agrees to lines of a heptagon or otherwise to tell according to lines of a heptagonal geometrical network. As the arrangement of stones and borders of the garden of stones are organized according to this geometrical network:
- the distant border of the garden area is determined with crossings of lines BE/CG and AE/DG;
- the distant border of the garden area is middle of the heptagonal network of lines, namely divides a heptagon into two equal parts;
- the near border of the garden area is determined with crossings of lines AC/BG and AF/CG;
- the distant left corner of the garden area coincides with crossing of lines AC/BD;
- the right border of the garden area is focused on line EG.
It is possible to assume that the right border coincided with line EG, but was changed as a result of reconstruction which was made in 1789 after a fire.
Groups of stones are located in points where lines of the heptagonal geometrical network are crossed, namely arrangements of stones are determined by crossings of lines: AC/BF, AD/CG, AE/BF, AF/DG, BF/DG.
Three groups of stones are focused concerning line BF.
The field of vision of the observer is located between lines AC and AF which specify extreme stones and as a result one stone in extreme left group as though drops out of the field of vision.
The direct sight of the observer is focused along line AD which specifies the arrangement of the central group of stones.
If attentively to analyze the shown topological chart then it is possible to find out many geometrical laws which determine harmony of a garden. And accordingly it is possible to assert that the arrangement of stones in the garden of Japanese temple Ryoanzi is determined by proportions of a heptagon and proportions of a heptagonal network of crossed lines. This fact is the reason of inexplicable and mysterious harmony which can be seen in apparent casual arrangement of stones.
And also this fact is the reason of scale perception as the garden of stones in the Japanese temple Ryoanji is limited to the small rectangular area, but according to lines of a heptagon the geometrical drawing of this garden reaches outside the limited space that increases the perceived sizes. Namely the observer is in a point of contemplation in apex of a heptagonal geometrical network, and stones form spatial coordinates which accent lines and harmonious proportions of a heptagon. In result there is the bewitching consonance of the coordinated system where the arrangement of objects is coordinated with position of the observer, and geometrical prospects reach outside the limited space. Namely stones are located on the small rectangular area, but the geometrical drawing of the garden Ryoanji extends beyond limits of limited space according to lines of a heptagon that increases the perceived sizes.
In essence the heptagonal network of lines is a basic figure which determines harmonious proportions of the Japanese garden of stones in the temple Ryoanji, and in essence this figure is a canon which can be applied for geometrical measurements according to which it is possible to arrange objects correctly and to create an own garden of stones. Borders of a stone garden can be different but should be entered in structure of a heptagonal geometrical network, and objects should be located within the framework of a geometrical network and should be coordinated with existing points of contemplation.

The following page considers some geometrical laws which can be used for creation of the correctly measured Japanese garden of stones. And also results charts according to which it is possible to construct the perfect stones garden which occupies all space of a heptagonal network of lines and has seven points of contemplation which allow to consider the plan of the located objects from the different sides.

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