perfect stones of correctly measured gardens

central page of perfect stones gardens

temple Ryoanji or Ryoanzi

Page 2.

geometrical network in arrangements
predictions according to stone arrangements
numerological quantity of stones
network of lines and quantity of letters
geometrical concepts of human relation
reflection and geometrical measurements
heptagonal network of geometrical proportions

 variants of correctly measured Japanese garden  

The second page considers some geometrical principles which can be taken into account at creation of correctly measured Japanese garden of stones. And also results charts according to which it is possible to construct the perfect stone garden which fills in all space of a heptagonal network of lines and has seven points of contemplation which allow to see stones from the different sides.

The perfect stones in gardens.
Variants of correctly measured Japanese garden of stones.

The real garden of stones occupies some space and has borders which can be different forms and the sizes depending on the location of a garden. Accordingly the heptagonal geometrical network of lines should be coordinated with the sizes of available space and prospective borders of a created Japanese garden of stones.
If the space is limited then the heptagonal network of lines can reach outside available space, and borders of a garden can occupy a part of a heptagon, namely borders of a garden can occupy within the framework of a heptagonal network of lines only a part which is within the limits of available space. Thus the arrangement of stones should be coordinated with lines of a heptagon, and also it is necessary to find possible points of contemplation which coincide with apexes of a heptagon and are within the limits of available space.
If the space is not limited then the heptagonal network of lines can be completely placed within the limits of available space, namely it is possible to construct the perfect stone garden which has seven points of contemplation and has borders equal to a heptagon.
The sizes of a heptagon can be different, that depends on a concrete place, but the more sizes the more perceived and apparent space of a Japanese garden of stones.
If within the limits of measured geometrical network there are any appreciable plants then these plants should be coordinated with lines. Or in space of a garden it is possible to put the plants coordinated with geometrical network of lines though plants do not correspond to traditional conceptions of the Japanese garden of stones.
It is possible to use a combination of traditional Japanese garden of stones in which there are located stones, with the concept of European garden in which there are plants provided that stones and plants should be coordinated with general geometrical network of lines.
The garden can be focused concerning any point of contemplation in any certain direction. Correct is direction to the north as in this case the sun does not blind eyes in midday that allows to see objects of a garden. Or it is possible to choose other directions which means evening or morning contemplation of a garden. Namely it is possible to focus the Japanese garden of stones differently and to coordinate lines of a heptagonal network with environmental space, to have necessary points of contemplation.
I can not list all nuances which can arise during creation of the Japanese garden of stones on any concrete place within the limits of this or that concrete space, but I bring to your attention possible charts for realization of the perfect stones garden which occupies unlimited space and has seven points of contemplation that allows to see stones of a garden from the different sides and allows to choose different points for observation of a garden in different time.

Garden of stones (variant 1st):
composition of a Japanese garden:
prospective chart of Japanese garden of stones

Garden of stones (variant 2nd):
composition of a Japanese garden:
composition of a Japanese garden

Garden of stones (variant 3rd):
composition of a Japanese garden:
composition and chart of a Japanese garden of stones

Compositions of a Japanese garden.

Offered variants of a perfect Japanese garden of stones consist of seven stones (objects) and are organized according to a heptagonal geometrical network of lines that is shown on charts:
- stones are shown by dark points;
- heptagonal geometrical network is shown by dark lines;
- letters designate points of contemplation which coincide with apexes of heptagon;
- grey lines specify geometrical ratio of seen objects.
Stones are located in points where lines of a geometrical network are crossed (crossing points of lines of geometrical network determine positions of stones) that is a basic principle according to which the garden compositions are organized, but it is necessary to take into account that actually positions of stones can deviate exact points of crossings a little.

The first variant of the perfect Japanese garden distinguishes that all stones are located on different lines of geometrical network, namely on each line is located no more than one stone (any two stones are not on one line). It means that from each point of contemplation it is possible to see all stones.
One stone is on crossing of grey lines which specify especial arrangement of this stone in the point of crossing lines which do not coincide with lines of heptagonal geometrical network, but these are lines which correspond with geometrical arrangement of stones.
This stone is designated by large dark point as can be the biggest among other stones.
The dagger designates the stone which is difficult for seeing from the point of contemplation C in the event that "the big stone" has very big sizes.

The second variant of the perfect Japanese garden distinguishes that all stones can be seen from the point of contemplation F, and from other points of contemplation any one stone is not seen, that is shown on the chart by grey arrows and lines.
Daggers designate stones which are always seen from all points of contemplation. These stones can have the big sizes in comparison with other stones.

The third variant of the perfect Japanese garden distinguishes that from all points of contemplation any one stone is not seen, and from the point of contemplation D it is not visible two stones that is shown on the chart by grey arrows and lines.
The dagger designates the stone which is always seen from all points of contemplation. This stone can have the biggest sizes in comparison with other stones.

The listed variants show some opportunities which can be embodied as a result of creation of Japanese garden of stones, but there are many variants in which various geometrical laws and ratio can be ciphered.
It is possible to have groups of stones on three stones in each group that in total the garden has included 3x7=21 stones. Or it is possible to adhere to principles of Chinese and Japanese numerology and to have five groups of stones on three stones in each group, that is expedient if borders of a garden there is less than space of a geometrical network of lines. Look the detailed information on various quantities of stones within the limits of a garden on the following pages in this site section.

If to look the first variant of a garden of stones and to draw imagined lines which connect stones and proceed outside a heptagon then in the long term some of these lines form points of crossings where external objects of a Japanese garden of stones can be located. Namely these points of crossings can be adhered to any external objects or can be purposely designated by external objects which can be arranged in these points. Or according to external objects it is possible to search for the most probable locations of stones, namely it is possible to adjust coordinate systems of district with lines of a heptagonal geometrical network according to which stones will are located, that is shown on the chart:

chart of external prospects of a Japanese garden of stones The chart shows the first variant of a stones garden:
- dark circle designates borders of a heptagonal geometrical network where the stones designated by dark points;
- grey lines show imagined visual lines which connect stones;
- small dark points show crossings of imagined visual lines where external objects can be located.

Distant points of crossings of imagined visual lines can designate the maximal borders of a park in which the Japanese garden of stones is located, that on the chart corresponds to a grey rectangular.

In total creation of a Japanese garden of stones can be a multilevel task in which many aspects can be taken into account, and including the arrangement of stones can be coordinated with features of district which surrounds a garden and forms prospect. As a result of correct geometrical measurements and the verified geometrical ratio it is possible to generate harmonious space where the man can find points of contemplation allowing to see and feel harmony of world around.

Besides in any environmental space it is possible to search for points of contemplation where the world around is perceived most harmoniously. Namely by means of geometrical measurements it is possible to investigate natural landscapes and to solve the geometrical puzzles existing in ratio of objects, to find out structure of a nature and to find points for harmonious perception of the world.

The following page describes chronological laws of time which can be seen in lines of a heptagonal geometrical network, and also in arrangements of stones of a Japanese garden within the framework of a heptagonal geometrical network.

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