DE2838140A1 - Three dimensional chess using eight boards one above the other - each player has sixteen pieces with three dimensional moves - Google Patents

Abstract

Three-dimensional chess is played on eight boards, each with sixty-four squares, mounted one above the other forming a total of 512 cubes. Each player has sixteen pieces consisting of king, queen, two bishops, two rooks, two knights and eight pawns. The moves are basically similar to normal chess but with the directional freedom of moves in the vertical direction. For example, the king can move one square or cube in any direction, horizontally, vertically or diagonally with the possibility of 24 different moves. In addition each player has the choice of which plane to place his pieces at the start of the game.

Description

D A S D R E I D I M E N S I O N A L E S C H A C H S P I E L A. Introduction This brief treatise is not intended to deal with phases of cultural-historical development the game of chess and the constant reproduction of conventional ways of playing deal. There was also constant thought about the meaning and importance of playing chess, which is relatively stabilizing in our technological-cultural age has, especially for the area of logical thinking, (the game of chess also has a has achieved high pedagogical value.) It is precisely these aspects that give rise to to further develop the game of chess and to 'dynamize' it according to cultural progress, in order to preserve this cultural asset and not leave it to a deficit development, where only machines clock against each other. This results in terms of The logical consequence of the creativity aspect: the three-dimensional chess game (instead of the constant reproduction of the two-dimensional playwork).

B. On the methodical approach - justification and game thought due to the structure of the game, which results from the functional context of the system and this thus constitutive rules can be derived from these constitutive rules Rules of the two-dimensional through the deductive method create a new constitutive-logical one Derive and expand the set of rules for the game of chess in the third dimension. in the The following is to explain the new game system Schacht through this procedure and with its constitutive-functional rules are fixed * C. Theoretical, practical and the technological basics of the structure of the game, the material, the composition of the characters etc.

1. Game structure analysis 1.1. Chess pieces, figures: 16 black figures / 16 Pieces white (one king, one Lady, two runners. two jumpers, two towers, eight pawns) Dreidtmenslonals number of pieces remains the same.

1.2. Game setup: A playing field (chess board) with 32 white and 32 black square fields, whereby the individual lines running from one player to the other are marked by letters a - h, the cross-connecting lines are marked by numbers 1 - 8, whereby the individual square fields can be precisely identified ( eg b3 ...) Three-dimensional: Extension by the third dimension, ie the previous level becomes space It Every further II - VIII; Thus, the designation of a tube (of a total of 512 cubes in the form of a cube) results in a three-digit designation, e.g. Vb2, i.e. the two-dimensional designation letters / Arabic numerals are retained in order to identify the respective cube by designating the third dimension using Roman numerals '(Subspace compared to the previous field).

The arrangement of the squares on the playing field (in a two-dimensional game) results in diagonal lines that are structurally functional for the game, this idea is transferred to the spatial dimension and so the legitimation of the three-dimensional expansion by VIII results in the fulfillment of this principle explains the arrangement of the 512 cubes for black and white in detail: - Each room II - VIII corresponds to the arrangement of room 1, ie the course Ia1 to VIIIa1 remains black ... results in a total room diagonal and, accordingly, further total room diagonal lines.

This is important because the structure of the game, and thus the Function of the individual figures can be retained.

1.3. Functions of the pieces: a) King: Movement in all directions a surrounding field, that results in a maximum of eight possibilities (with two-dimensional game).

Three-dimensional: This rule is retained, but the third dimension is added. This results in the highest possible total movement possibilities - 24; by leaving a room downwards (+8) or upwards (+8), respectively less at the edge of the room.

b) Queen: Combines the gait of tower and bishop (in the two-dimensional Game).

Three-dimensional: This rule is retained, but the third dimension is added, which derives from the fact that when the lady leaves a room (e.g. II) all respective spatial diagonal lines and all straight spatial lines up and down, sideways up and down ("podium line") ) can use. Thus the dominant function of the lady remains.

c) Runner: Runner looks obliquely in all directions. He is thereby bound to the color of its original standing field, so that each party has a black and a white field bishop.

Three-dimensional: This rule is retained, but the third one Dimension expanded, i.e. the respective runner (black or white) are spatially available running diagonal lines with its corresponding color assignment available; he can therefore function in every room (I-VIII) as in a two-dimensional game and Cross the entire room as you wish in a room diagonal constitutive manner. From it there are at most the following possible directions: - 4 in the respective room (e.g. III), 4 diagonally sloping; above, 4 diagonally diagonally below.

12 total d) Tower: The tower never moves in a straight line in both directions ("vertical and horizontal") as far as you want (provided there is no other figure in the way).

Three-dimensional.

This rule is retained, but expanded to include the third dimension, so that the 'real' vertical lines can be drawn, and the tower in each one Room (I-VIII) (by pulling vertically) can be reached in order to be used effectively there to become.

Limitation: The now emerging additional function of the tower in shape the "stair climbing" (see above lady) is denied to the tower, otherwise the tower an overfunction that would be unreasonable and unjustified in comparison to the runner would be, so: only pulling within a space (I-VIII) + perpendicular (overcoming the spaces, thus from room to room).

Thus, at most, the following possible directions arise: - 4 x in all directions in the respective room, 1 x up (straight), 1 x after below (straight).

6 total e) Jumper: The jumper is characterized by a peculiar movement. It moves from its location abruptly in all directions to a respective (functionally appropriate) field that is two steps away - one in a straight line, one in an oblique direction - or two fields in a straight line, one to the side. It should be noted, and this is important, that the knight changes the color of the field, ie from color x to color y (if black then white, if white then black).

Three-dimensional: This rule is retained, but with the third one Dirnension extended, i.e. it is functional for the jumper, additionally by one white cube upwards or downwards into a black tube and vice versa.

This results in: - 4 target fields upwards, + 4 target fields down, + 8 possibilities within a room (I-VIII).

It should be noted here, however, that this rule with regard to the optimal Function of the jumper under 'exploiting' the third dimension is not sufficient, since with these possibilities the jumper can logically only reach every second room could (example: if jumper in I then on III V VII, if jumper in II then to IV VI VIII and vice versa).

In order to achieve that the knight is placed in every room (I-VIII) can be, a further derivation of the functional rule follows: 1 cube straight higher (e.g. from I II), there are four possibilities, and in this room (II) two Pull cubes at right angles (= a maximum of eight possible directions of movement). Included one finds that the principle is preserved, from cube x (e.g. white) to cube y (e.g.

black) and vice versa. This results in (at most / optimally) 24 movement possibilities and target cubes. (A jumper in the literal sense of the word).

f) Pawn: The pawn can only move forward one field in a straight line. He can only take two steps from his basic position do it all at once.

What gives it a certain peculiar meaning is that Type of hitting. In contrast to his usual gait, he only strikes and only in an oblique direction (one field each) to the left or right (Exception: hitting in passing).

Three-dimensional: This rule is retained, but with the third one Dimension expanded, i.e. the farmer can move straight ahead (into a room), into one other room up and down, so in another room (respective room) straight ahead again or within the overall spatial possibility by Pull the "stairway" to the front. The opening move of Bauer3 from its basic position off is according to the two-dimensional game, i.e. move two cubes into each one any forward direction. As an additional regulation for the opening, there is (at to give the peasant the option of protecting the officers): The peasant can on the opening move one cube forward upwards or downwards ("stairs") and then pulled vertically up or down.

There are seven possibilities for opening: 2 cubes forwards in the same room 2 cubes forwards downwards (staircase - see from room II to room IV) 2 cubes forwards upwards (staircase - e.g. from room IV to room II) 2 cubes : forwards to the top (1x) and in the same room (1x) forwards - e.g. from room II to room III 2 cubes: forwards to the bottom (1x) and in the same room (1x) forwards - e.g. from room III to room II 2 cubes : ix forwards upwards + 1x vertically upwards - e.g. from room III to room V 2 cubes: ix forwards downwards + 1x vertically downwards e.g. from room IV to room II.

General information on the set of rules Otherwise, the same principles apply as in the two-dimensional game, i.e. bidding chess, the king's standing in chess, Hitting and covering figures, in addition there is the extended possibility of one functional system through the third dimension. For example, the king can use the Tower vertically from above or from below check are bid by the bishop over the spatial diagonal lines, by the lady additionally in a threefold way as by step lines, spatial diagonal lines (see runner) and vertical lines (see. Tower).

In this case, too, it should be noted that the to-be-driven Lines are adhered to, so there must be no kinks in the course of the line, who would prove to be dysfunctional according to the role of a character.

Because of this new game idea, from which game possibilities and game behavior, the tactically and strategically significant one falls away Castling away. For this, tactical-strategic measures are taken by the respective players determined beforehand (before the start of the game), i.e. the figure structure at the beginning of the game is the same as the two-dimensional, but after deciding on the choice of color whoever has the color white can be in any room (I-VIII) place his figures, but above the first eight respective basic fields (ai-hi / a2-h2) or (a8-h8 / a7-h7).

As a countermeasure, the player with the black pieces can freely select his rooms (I-VIII) according to his strategic and tactical conceptions and ideas, for example to take measures against the player with the white pieces who have had an advantage in each case because, for example, it often happens it is possible with the white queen to offer the black king direct check on the first move (by using the expanded spatial possibilities). So far so good.

2. Arrangement and structure of the game The structure of the game is marked through an overall cube shape due to the logical consequence of the three-dimensional, i.e. the length, width and height of the total margin correspond in the same way Dimensions (e.g. here: 80 cm / 80 cm / 80 cm) (see picture 1). Which are a total of 512 cubes therefore geometrically the same size (e.g. here: - 10 cm / 10 cm / 10 cm), which means a total volume of 512,000 cm³ is created in this example.

(Control: 80 x 80 x 80 = 512,000 cm³ 512 (cubes) x 10 x 10 x 10 = 512,000 cm³).

3. Material and technical structure The base for the game is taken over from the previous two-dimensional chessboard, which is intended to serve the general basic orientation, i.e. chessboard (relatively stable wooden material) x)) with 64 fields (32 black / 32 white) .6 x) General note on page 13: - on the material to be used in advance: - The material is almost any, it just has to be relatively stable and hold together.

The chessboard must, however, have a wider edge (approx. 5 to 10 cm beyond the field), since a support (four in total - metal ...) is attached vertically to each of the four corners. These carriers correspond to the respective dimensions of the fulfillment of the third dimension (here: 80/80/80 cm Hooks (L-hooks) with nuts or the like) are set in these carriers at 'logical' intervals (here: 10 cm), around the grids (8 pieces (white) - metal, Plastic, wire, wood, etc.) to be carried horizontally. These grids are painted black according to the base area (chess width field) on the inside of the round struts (which determine the individual square shapes), according to the assignment, which later shows the definition 'black'. (Since the grids are white, there is no need to brush them with white).

After all eight grids have been installed (vertically one above the other at the specified intervals), the black or white brushing of the respective inside of the corresponding square bracing creates a clear orientation for the black or white cube recognition in the respective room (I-VIII).

On vertical struts for the exact delimitation and division of the Individual cubes were omitted - for reasons of clarity, - for reasons the movement of the figures (see below!), so you have to get the total picture of a cube 'possibly

think about it (which is not difficult, since the demarcation is by color white / black.) So after the overall structure, the logical ones result eight rooms (I-VIII) for the complete invention of the third dimension.

Now for the pieces: Normal chess pieces (made of wood, etc.) of medium size (3 to 7 cm tall) are used.

Principles: The respective chess piece does not occupy a, as before Field, but a cube, in the middle of which it has to be. (See Fig. 19) Now you can't just put the figure in the air; so you need tools respectively.

Auxiliary lever. There are many possibilities for this, for example to attach a hook (running diagonally) to the strut in the direction of the respective cube, to which the respective figures are attached. This may seem sensible, but it can lead to a certain confusion in the form of these additional struts, which would also cause problems when guiding the figure. Thus, there is a logical consequence, namely to attach the attachment mechanism to the figure.

(There are, in turn, many possibilities with regard to fastening and hooking systems such as inclined snap-in hooks, etc.) The decision was made to use a (laundry) clip system, with the corresponding figures drawn through wire spirals (with sufficient distance from the clothes peg and in the hollow center of the light ) have been attached to the clothespins.

In this way, the clothes peg with the respective figure can be attached to the respective upper lattice struts (four possible) so that the figure "hangs" in the respective tube of the room below.

Make sure that the figures are attached to the clothes peg are appropriate that they are approximately in the middle of the cube 'to avoid inaccuracies to prevent. One more thing: the wooden, beige-colored brackets for the white figures stay as they are, the wooden brackets for the black figures are black to be colored to show a clear picture.

This self-made model of the three-dimensional chess game was built in these dimensions from the point of view of clarity and the playful possibility for the players, whereby the testing and experimental character was also more effective and thus supported. Otherwise, the playing conditions are variable in terms of size - like the playing surfaces in a two-dimensional chess game - only the relation has to match and a certain aspect of clarity and practicality in terms of playing technique (placing and moving pieces) has to be taken into account. For the above-mentioned order of magnitude, the note must be made that the player enters every room and tube with his hand from all four sides and can then move the corresponding figure by operating the clamp in the desired direction and thus into the desired tube, then the figure fastened there again.

This possibility exists if the order of magnitude is significantly reduced no longer; here one would have to operate e.g. with tweezer-like auxiliary levers that both a hanging b would have to ensure a regular Borm and a relative problem-free 'transport' of the figure into the desired cube. This is absolutely possible and just a technical problem almost as well as material determination - instead of metal, plastic mesh or the like, - instead of a stable board, one designated collapsible cardboard surface to be taken, with the carrier, which also consists of could consist of other materials, would have to be fastened differently, perhaps in the form of a base frame that connects the girders and thereby stabilizes them. This would then undoubtedly be more practical in some respects: - Set-up and dismantling effort - Transportability (grids could also be collapsible like base cardboard make!) - space-saving, also with regard to the game: location etc.

These technical-practical alternatives or change options should not be dealt with further here, they would be a consequence in any case wide range of alternative three-dimensional chess games.

Finally, a useful guide can be added for this model, which is intended to counteract the great difficulties of the overall overview of the play area with the numerous room-line combinations and entanglements: Each of the two players has an antenna-shaped stick at hand, which is made up of different ones Assembled and extendable (like car antenna) parts exist in order to be able to quickly show and determine different spatial lines (diagonal lines and Ureppohenlinien).

This rod should be about the total length of the spatial total diagonal in order to recognize and determine longer lines quickly and immediately. This also avoids additional "drawing errors" since one is initially recognized certain spatial line is not immediately and precisely possible. (The opponent can do this therefore check immediately and quickly!).

Final remarks: In general, it should now be noted that this new and further developed form of playing chess a great increase in motivation for those who enjoy playing Chess strategists will effect because the functional possibilities are now around one Have expanded many times. This most likely also applies to the organized and professional chess sport (World Cup etc.

to, with international comparisons and veneers falling into place be placed in a new, expanded level category. On the question of starting chess (in the pedagogical sense) a methodological problem arises: to proceed holistically or about the two-dimensional board game as effective Intermediate ". However, experience is required in order to establish a decision-making grid. In this regard, this new game idea needs to be developed and promoted, with which an advanced contemporary (logical) thinking is connected. t

Claims (1)

Patent claims: all claims that affect the technical function of the three-dimensional chess game described, i.e. - stable (logical) size: cube shape with base chessboard, 4 beams, 8 grids (attached to beams by hooks), figure attachment, rod -variable size: I-material quality of the grids, the chess base, the Bracket, the hook, the bracket attachment, the hook mount, the figure attachment, the staff constitution; Magnitude 2) all claims regarding a possible Book edition and striking publication