CN101502714B - Four-dimensional chess - Google Patents

Abstract

The invention discloses a method for constructing a stereo chess board which is named four-dimension chess. The main application scope is chess games. The biggest characteristic of the invention is transforming the two-dimensional plane relation into a three-dimensional stereo relation while maintaining the structure of converging four line segments into one point. The difference from the other prior novel chess boards is that the crossing point of the invention is not related to the crossing point of the plane chess board.

Description

Four-dimensional chess

Technical field

The present invention is a kind of instrument that in chess game, uses, and is the Solid chess-board of making at three dimensions.

Background technology

Existing chessboard is made in two dimensional surface, and the cross spider that draws on the surface of materials such as paper exactly is the chessboard of characteristics.Its minimal structure is to make four line segments from a point, and is connected with other point.The cross spider that also has plenty of the same structure of making on a hexahedral surface, it also is a two dimensional surface.

Summary of the invention

The objective of the invention is, make the game rule of plane chessboard be used in Solid chess-board equally.

Some points are arranged in three dimensions, can make four line segments, it is connected with other four points, and each point can be made four lines and is connected with other point from a point.Like this, can produce a Solid chess-board.A crosspoint of its minimal structure and plane chessboard is similar---and a point has four direction.

Four-dimensional structure has two kinds of forms:

1, draws the formed structure of line segment from tetrahedron or hexahedral central point.

2, do the structure that cross spider draws on hexahedral surface.

The chessboard of four-dimensional chess can be made by entity.If utilize computer to design program, demonstrate operation, then more clear and easy.

Description of drawings

Fig. 1 can produce identical a kind of three-dimensional structure with Fig. 2.

In the stereochemical structure of Fig. 3, four lines in each crosspoint are in same plane

Practical implementation

In the accompanying drawings, tetrahedron that is drawn and hexahedron are a kind of imaginations, do not have tetrahedron or hexahedron in the chessboard.

In Fig. 1, Fig. 2, to make with summit A, B, C, D with hexahedral central point zero from tetrahedron and to be connected, these lines are entities of chessboard, also are the structures of a minimum in the chessboard.Piling up formed three-D space structure to a plurality of tetrahedrons or hexahedron, is exactly the chessboard of four-dimensional chess.The point at its A in Fig. 1, Fig. 2, B, C, D place also has four lines.

In shown in Figure 3, hexahedral each face is made a cross wire, and these cross spiders are entities of chessboard.A plurality of such hexahedral stack are built into a big hexahedron, and points such as A, B, C, D all can have four lines.

Claims (2)

1. one kind meets at the 3 D stereo chessboard that any is an internal structure with four lines, and it is characterized in that: its structure is the unit by the line on tetrahedron or hexahedral central point and four summits, and whole chessboard is piled up each other by a plurality of such unit and formed.

2. one kind meets at the 3 D stereo chessboard that any is an internal structure with four lines; It is characterized in that: from hexahedral each the surperficial central point of imagination; Make vertical line to seamed edge; Form the structure of six " ten " word cross spiders, these cross spiders are entities of chessboard, and whole chessboard can be piled up each other by a plurality of " ten " word cross spider and form.

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