Page 4. The fourth page describes logic puzzles and games which is possible to play if stones of a Japanese garden are mobile. And also describes predictions possible according to stone arrangements which result from games and puzzles.

## Logic puzzles and games with mobile megaliths.Japanese garden of stones and dominoes.

In essence a megalithic garden of mobile stones is a game board (field) where there are 42 locuses (places) for arrangement of stones and 14 lines which specify directions for movement of stones.
35 places are internal and 7 places are external, namely external places correspond to points of contemplation and apexes of a heptagon, and internal places correspond to points where lines are crossed within the framework of a heptagon.
If to move stones according to the certain rules then in movement of stones it is possible to carry out various games and puzzles.

The first game is a puzzle (it is intended for one person).
Preliminary seven stones have in internal places which are marked by dark circles and daggers on the chart (1):

 The task of the puzzle consists that it is necessary to move all stones in external places which are designated by big white circles on the chart. For determination of a sequence for movement of stones use the traditional complete set of dominoes which have 28 elements (tiles) with combinations of ciphers from 0 up to 6. Look the additional information on game of a dominoes and various complete sets of dominoes on pages of other site: www.dominoopen.64g.ru/en.htm. Preliminary tiles of dominoes mix, then the player opens dominoes and determines directions for moving stones of a megalithic garden that ciphers of dominoes tiles show. For example, the tile of dominoes with ciphers 2 and 5 is open. It means that the player should move any one stone in direction to 2nd external place or in direction to 5th external place.

To seven external places there correspond figures 0, 1, 2, 3, 4, 5, 6, that corresponds to ciphers of dominoes tiles and consequently tiles of dominoes specify external places in which direction move stones of a megalithic garden.
Movement of stones is made along connecting lines. Distance of movement is one place. Namely the stone moves from a place in which was, along a connecting line, in the next place in direction to the external place which corresponds to the open tile of dominoes.
The player should choose any one cipher of the open tile of dominoes and execute a course (move) according to the chosen cipher, and necessarily should execute a course and move any stone. Namely if any stone can be moved according to any one cipher of the open tile of dominoes then the player is obliged to execute a course.
If any stones can not be moved according to ciphers of the open tile of dominoes then the player opens the following tile of dominoes and carries out the following course.
If stones are moved in external places then become motionless and the player does not move such stones more.
The task of the puzzle consists in moving all stones in external places provided that seven stones are necessary for moving in seven external places. Namely in each external place there should be one stone.
The puzzle is finished when all tiles of dominoes are open.

 It is possible other variant of this puzzle in which preliminary seven stones of a megalithic garden have in seven external places and the task of puzzle consists in movement of all stones in internal places which are designated by white circles and daggers on the chart (2). In this case all stones remain mobile and should move before end of the puzzle if the player should to move any stone according to rules of puzzle. The task of such variant of puzzle is solved if seven stones are in internal places designated by daggers when all tiles of dominoes are open.

The second game is intended for participation of two players.
The task of one player consists in moving stones in external places, and the second player is the opponent which task consists that stones remained in internal places.
Preliminary seven stones have in internal places which are designated by dark circles and daggers on the chart (1).
Then players mix 28 tiles of dominoes and open tiles for determination of directions for movement of stones.
Each tile of dominoes has two ciphers and consequently each player carries out a course according to any one cipher of the open tile of dominoes provided that the player, who moves stones to external places, has the right to choose cipher to move a stone, and the second player (opponent) should execute a course according to second cipher of the open tile of dominoes.
For example, the tile of dominoes with ciphers 3 and 4 is open. It means that the first player moves one stone in direction to 3rd external place if has chosen cipher 3, and the opponent moves a stone in direction to 4th external place provided that players can refuse movement of stones during game if it is inexpedient.
If the first player has refused movement of a stone then the opponent can choose any cipher of the open tile of dominoes to move one stone, or also can refuse movement of a stone.
Game is finished when all tiles of dominoes are open, or game is finished when four stones are moved in external places. Namely the task of the first player consists in moving in external places at least four stones. If it is executed then the first player wins and the opponent loses. If the first player could not move four stones in external places then the opponent has not allowed to win to the first player.
If during game stones are moved in external places nevertheless continue to be mobile and can be moved back in internal places.

The third game is a prediction.
Preliminary seven stones have in internal places which are designated by white circles and astrological symbols of planets on the chart (3):

 If stones of megalithic garden have attributes of astrological planets then should be located in places which are specified by appropriate symbols of planets that corresponds with the arrangement of planets in the magic star "Star of Magicians". 28 tiles of dominoes mix and open tiles for determination of stones which can be moved. Each open tile of dominoes has two ciphers and specifies directions of movement of two stones provided that stones move clockwise along the line of outside contour which is specified by thick dark lines on the chart (3). Rules of movement of stones are similar to previous games and similar to rules of movement of stones which are described on the previous page of this site section.

If it is possible to move two stones then two stones should be moved.
If it is possible to move one stone then it is necessary to move one stone.
If any stones can not be moved then it is possible to open the following tile of dominoes which will specify further directions for movement of stones.
When all tiles of dominoes are open then positions of seven stones of a megalithic garden specify result of the carried out prediction.
Interpretations of prediction results make according to astrological values of planets which symbolize stones of a megalithic garden, and according to position of stones concerning external places which symbolize days of week.

 For example, the chart (4) shows positions of stones and appropriate astrological symbols of planets which means successful position of the stone-symbol of planet Venus concerning 6th external place which symbolizes Friday and corresponds with the planet Venus. As from the 6th external place and from the appropriate point of contemplation it is possible to see the stone-symbol of Venus. Position of the stone-symbol of planet Mercury concerning 6th external place is unsuccessful as from the appropriate point of contemplation it is not possible to see the stone-symbol of Mercury. Similarly interpret positions of stone-symbols of other planets concerning external places and appropriate points of contemplation which correspond with different days of week.

The offered way of a prediction is game, but nevertheless can be applied to the valid predictions, and also can be applied to calculations of days of week and points of contemplation in which contemplation of a stones garden has the certain astrological sense.
And also the offered way of a prediction can be applied to reflection and intelligent contemplation of a stones garden.
The listed game and puzzle, and also way of a prediction are examples according to which it is possible to think up many other games and ways for movement of stones within limits of a heptagonal geometrical network of lines of a megalithic garden of stones. Besides the listed game rules presume to arrange stones correctly and to understand geometrical and astrological principles of the philosophic garden of stones.

The following page also describes rules of games and puzzles which show mathematical and geometrical principles according to which stones of a Japanese garden can be located.

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