DD283776A5 - GAME TO LAY IMAGES, SHAPES AND PATTERNS - Google Patents

Abstract

The invention relates to a game for laying pictures, shapes or patterns, consisting of several parts that can be assembled in different ways, so that different shapes and patterns arise. The game should contribute to the development of spatial ideas and constructive thinking. According to the invention, several parts of different shape, which have surfaces of a corresponding shape and dimension as common elements, can be joined together by juxtaposition of the surfaces and structures of different configuration are formed, parts of elements in pyramidal and octahedral form, two at their base surfaces interconnected pyramids or consist of segments of these forms. Fig. 27 {toys; Legespiel; Parts, space; Pyramid shape; Tetrahedron; Connecting element; Projection, recess; Magnetic element}

Description

ISi. .MV "

Game for creating images, shapes or patterns Field of application of the invention

The invention relates to a game for laying pictures, shapes or patterns consisting of several parts that can be put together in different ways, so that different shapes, images and patterns are created that correspond or do not even exist in real existing objects or objects.

Characteristic of the known state of the art

There are already known spatial laying games ,. which consist of a certain number of parts, the result of a fixed arrangement of the parts to one another after assembly a fixed body shape. However, these games have the disadvantage that after the solution once found the assembly formally or «Algorithmisoh done«

There are still spatial games of a certain number of parts known which allow different solutions, but which are generally very demanding if one wants to reach the goal of finding all possible solutions. "

Object of the invention

The aim of the invention is to stimulate the creative abilities of children and adolescents in creating images, shapes and patterns. «

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Explanation of the Weaena of the invention

The invention has for its object to provide a game of several composable parts for laying pictures, shapes and patterns, which contributes to the development of spatial adjustments and constructive thinking and a means of developing strategies that help both quantitative and qualitative geometric relations between the spatial structures can be recognized and which facilitate an idea of these relationships

According to the invention this is achieved in that several parts of different shape, which have surfaces of a corresponding shape and dimension as common elements, are joined together by juxtaposition of the surfaces and thereby arise structures of different configurations, wherein the parts of elements in pyramids or Octahedral form, two interconnected at their bases pyramids or consist of segments of these forms.

The pyramid-shaped parts have a square base area and a height that corresponds to half the side of the base areas, which corresponds geometrically to the projection of a cube side from its geometric center »

The double-pyramidal parts have a square base area, where the length of the minor axis of one side corresponds to the square base area.

The game has parts in the form of a straight pyramid with a rhombic base, where the angles of the base

-6- 2 8 3 7 7

70 ° 31 '44 "and 109 ° 28» 16 »to the base surface side V3 / 2 and the height Y * 2/2, which corresponds to a section through a double-pyramidal part through a plane with a quaternary axis of symmetry«

The game further comprises parts in the form of a straight pyramid whose base has a right-angled isosceles triangle of 1.1V ² and whose side faces are defined by two triangles 1, Y "3/2, 1Γ3 / 2 and a triangle V 2, V * 3/2 , Y "3/2, which corresponds to a halving of a pyramid-shaped part by a diagonal floor plane with the upper vertex."

The game comprises parts in the form of a tetrahedron formed by four identical triangular faces 1, V 3/2, Y "3/2, which corresponds to a halving of a double pyramidal part by a plane constituting a lateral vertex and the inner segment the quaternary axis is formed.

The game has in a further embodiment parts in the form of a rectangular tetrahedron, the three areas in the form of a right triangle with the dimensions 1, V2 / 2, Y * 2/2; "V" 2/2, V "3/2, 1/2 and Y" 2/2, V * 3/2, 1/2 and an isosceles Dreieok 1 "V" 3/2, V "3/2 formed is defined by the lateral vertex of a straight pyramid and the inner segment of the quaternary axis «

The game has two parts, which are mirror images of each other and symmetrically unequal, obtained by dividing a part by a plane extending over half of an isosceles triangle 1, "V" 3/2, V * 3/2 and the opposite

2 83 77

Side of a reöteokigen tetrahedron with the dimensions I ₁ V "2/2, -Y * 2 / 2j Y * 2/2, V * 3/2, 1/1 and V2 / 2, V 3/2, 1/2 extends ·

The surfaces of the game-associated parts are provided with permanent connection means such that by juxtaposing the respective identical surfaces of two or more parts, molds are formed and mutual juxtaposition of the parts is achieved.

The connecting elements are permanent magnets of different polarity, whereby by arranging the respective identical surfaces of two or more parts forms arise and the mutual juxtaposition of the parts is ensured by the magnetic attraction of the magnets of different polarity · The magnets are in the surface of the individual. arranged parts «

The magnetic elements of one polarity can be inserted in the regularly shaped projection of some parts of the game, while the magnetic elements of the other polarity are arranged on the bottom of a recess of the same shape in the mating surfaces of other parts *

The connecting elements of the parts have regularly formed projections and recesses of a corresponding shape in the mating surfaces of other parts.

The connecting elements of the parts are formed by recesses in the surfaces of the parts in which additional auxiliary elements

-β- 2 83 77

ments are adapted whose shape is adapted to the shape of the recesses and the height of which is twice the depth of each recess, with additional additional auxiliary elements are provided; whose height is one half of the auxiliary elements and which are intended to de-emboss the recesses in the exposed surfaces of the parts

The parts constituting the new game are made of polyhedra in pyramidal or octahedral shapes or segments of these shapes. "By varying the arrangement of these parts, the desired objects, things, or shapes are created." For example, the repeated assembly of one of the parts can create one pyramidal cross, and another Arrangement of forms leads to a cube, a form that does not "belong" to the basic components of the game

Said parts may be bonded together using an adhesive, for example glue or glue. They may also be interconnected by means of fasteners which assist in the formation of stable shapes, so that forces can be absorbed to some extent and changes in the position in the space can be counteracted. This creates a system for maintaining an arrangement that results from the interaction of the components. All these factors enable the emergence of the respective forms ·

The game representing the subject of the invention is a learning aid in the development of spatial notions and geometry teaching, which undoubtedly provides great support in the education and training of children and adolescents.

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The cohesive structure of the game embodying the invention, and especially its modularity, make it very suitable for the development of spatial notions. In this sense, the game allows the description of a variety of theorems for the development of a spatial idea in school. In addition to "this educational task, the importance of the game is also to be seen as a construction kit that can also stimulate the children's creative abilities *

From a purely geometrical point of view, play is a tool in the development of strategies by which both quantitative and qualitative geometrical relationships between spatial structures can be recognized and which facilitate an understanding of these relationships. The educational value of the game is thus proven, it can be applied to: construction kits, joint activities for the formation of three-dimensional images, teaching and development of the theory of forms, the theory of colors, harmony and transformation, visual memory exercises, development of strategies in relation to the spatial Composition and order, development of spatial images and fixed images, development of three-dimensional theory, three-dimensional imagination and three-dimensional strategies, investigation of spatial symmetry and experimentation with it, especially with respect to the binary, ternary and quaternary members of the dice crowd, angle measurements , Treatment of the equivalence of an empty space / full space.

The game belonging parts may consist of various suitable materials, eg. Wood, plastic, etc., and to the lei

- ₁₀ . 2 83 7 T β

For better recognition, the parts of a geometrical shape can have the same color.

AusfUhrungabeispiel

The invention will be explained in more detail on an exemplary embodiment. In the accompanying drawing:

Figs. 1 and 2 are perspective views of the game forming parts;

FIGS. 3 and 4 are views of the parts showing the dimensions of each other;

Fig. 5 and 6t two further parts belonging to the game;

Figs. 7 and 8 are surface views of the other parts showing the dimensions of each other;

Figures 9 and 10 show two further parts belonging to the game;

11 and 12 are surface views of the parts of FIGS. 9 and 10,

which make the dimensions clear to each other;

Fig. 13 to 16 κ three area representations and a perspective

Appearance of a part with four triangular faces;

FIGS. 17 to 20: a part shown in FIGS. 13 to 16

similar part, which is a reflection of this part j

Hg · 21 to 23 * the compound of the previously shown

Parts of what a new element with four Dreieoksflöohen results?

Figs. 24, 25 and 26 are plan views of an image that is itself

by repeated compilation of the ropes according to Hg · 2 and in the plan represents a Latin cross;

KLG. 27: the compilation of six parts, which corresponds to that in FIG.

2 part shown correspond;

FIG. 28 shows a cube formed by abutments of the parts shown in FIG. 27; FIG.

Fig. 29t shows a new practical embodiment of the game in one

Box in which the parts are arranged so that the space requirement is kept to a minimum;

Fig. 30: an additional part;

Fig. 31: a game board on which the parts can be placed.

wherein all parts in the box, which includes the items and achtitzt can be accommodated;

Figs. 32 and 33; the connection of two parts of the game, the

thereby achieved that magnetic elements are inserted into the corresponding surfaces of the two parts;

FIGS. 34 and 35: corresponding illustrations ' × tr magnets

of (parts, wherein one of the magnetic elements is on the projection of one part, while the other magnetic element in the recess of the other (part is arranged;

Pig · 36 and 37: the connection between two (parts, one being

(Part with a recess and the other is provided with a projection and projection and recess are of the same shape and size;

Pig. 38 and 39: Representations of one of the parts of the game with

a regularly shaped recess, in which either a matching projection of the same shape and size can be usedj

Pig "40 and 41: two phases in the connection of two mating parts, each of which has a recess of a precise shape, in each of which half of a connecting element is inserted, after the connection in the two parts in contact remains.

That in Pig. Part 1 shown has the shape of an octahedron or a straight double pyramid with a square cross-section, wherein the length of the minor axis corresponds to one side of the main square cross-section, the double pyramid represents two pyramids with square base, which are interconnected at their bases, and wherein the side of the cross section corresponds to the height or the distance between the vertices forming the vertical axis of symmetry.

-13- 2 83 77 *

Part 2 represented in FIG. 2 represents a straight pyramid with a square bottom surface, the height of the pyramid corresponding to half of a base surface side. Part 2 corresponds to half of the part 1 when a section through a plane is made according to FIG 1 corresponds to two parts 2 shown in FIG. 2, which are connected to one another at their quadrangular bases.

The part 3 shown in FIG. 5 corresponds to practically half of the part 1 shown in FIG. 1, starting from a section along a vertical plane through the axis of symmetry and two vertices opposite the rectangular base. In reality, it corresponds to a straight one Pyramid with a rhombic base and angles of 70 ° 31 * 44 "and 109 ° 28" 16 "along the side of the base surface units l 3/2 and with a height sron'f 2/2 ·

The part 4 shown in FIG. 6 corresponds to one half of the part 2 shown in FIG. 2 in a section through the vertical plane with the symmetry axis and two vertices opposite the base surface square. As a result, a straight pyramid with an isosceles triangle as the base surface (FIG. 1,1, V 2) and side surfaces defined by two triangles of (1, * V * 3/2, V "3/2) and a triangle of (V 2, V 3/2," lT 3/2) be formed.

The part 5 shown in FIGS. 9 and 11 corresponds to a half of the part 3 shown in FIGS. 5 and 7 in a section through a plane with the vertical axis of symmetry and one of the plates.

Vertices of the horizontal quadratic surface "In accordance with Veil 5 a tetrahedron" is formed by two identical triangular surfaces of dimensions (1, ^ * 3/2 and "\ T3 / 2).

The part 6 shown in Figs. 10 and 12 corresponds to a half of the part 5 in a section through the horizontal plane with two vertices of the horizontal base of the part 6 and perpendicular to the vertical axis. Bs corresponds to a rectangular tetrahedron, which consists of three surfaces in the Shape of right-angled triangles with the dimensions (1, Y "2/2, V" 2/2) j (V * 2/2, V "3/2, 1/1) and (" Y "2/2, V" 3/2, 1/2) and an isosceles triangle (1, "\ Γ3 / 2, Υ" 3/2).

The parts 7 and 8 shown in FIGS. 13 to 16 and 17 to 20 correspond to a section of the part 6 through a plane that extends over half of the triangular surface (1,...> 3/2, v ~ 3/2). and extends over the opposite side. The parts 7 and 8 respectively correspond to bodies with four triangular faces, each forming a right angle. The illustrations of the parts 7, 8 are mirror images of each other, and with respect to the ideal plane of the master they are symmetrical to one another.

Starting from part 1 and a successive decomposition into symmetrical modular parts, the following relationship diagram results:

1/24 1/12 1/6 1/3

(>) represents a symmetric duplication «

Shape and size of the flutes are listed in the following table:

Shape and size of the surfaces surface Number of polyhedra 5 4 surfaces 2 at each Dimensions We 6 O 0 3 0 1 (s # original p. 6) W.4 2 0 0 0 0th 0 V2 / 4 1 O 1 0 0 0 V2 / 2 0 0 0 0 P 0 1 0 0 O 1 1 0 1.2 0 0 1 0 0 0 Y "Z / 4 0 4 2 O 4 , P. 1 4 4 4 l · - 0 Total space index 4 5 8th

A certain elementary understanding of the illustrative geometry and a sense of interplay allow for the creation of very different patterns and shapes through the repeated or alternate use of the parts associated with the game, and the arrangements shown in FIGS. 24-28 give an idea of the possibilities of the game · assignment

When the parts are joined together by means of permanent magnets, they can be inserted into the surface of the parts as shown in Figs. 32 and 33 or, as shown in Figs. 34 and 35, they can rest on projections T and in Figs Aussparunge.n U are ·

If the connections are made without magnets, then, as shown in Pig. 36 and 37, the protrusions V fit into the recesses X ".

In a further Ausftihrungsform of the invention, the connection of the parts duroh the introduction of recesses in the surfaces of all parts, wherein the individual parts are connected to each other either directly or via auxiliary elements Z, which are adapted in shape to the recesses X and have a height "The height of the auxiliary elements Y is half the height of the auxiliary elements Z, and thus the recesses X are covered in the exposed surfaces of the parts" All this is shown in Pig "38 and 41.

In Pig. 32 and 33, the parts of the new game are formed by the juxtaposition of surfaces of the same shape and size by means of magnetic elements N; S connected to each other «The parts are attracted with a certain marking, from the parts provided with magnets, which have the opposite marking« This creates stable connections that can be solved if necessary. The resulting shapes can be moved as if the bodies consisted of one part, and as long as the position of one part to the other is not changed, the resulting bodies can also without changing the

be transported geometric shape. In this case, the magnetic elements Nj S remain in the installed state in their respective areas. In FIGS. 34 and 35, one of the. Magnetic elements N on the front side of the projection T, which in turn is in the recess U gleioher shape and size, which is provided in the barrel surface of the respective other part ·

In FIGS. 36 and 37, a connection between the surfaces is achieved simply by inserting the protrusions V at the parts into the respective recesses X provided at the other part. FIGS. 38 and 39 show the use of an auxiliary element Y, which with its cylinder Fig. 40 and Fig. 41 show the use of the auxiliary element Z whose height corresponds to twice the depth of the recesses X in the parts to be joined, the auxiliary element Z serving as a connecting element between the adjacent surfaces. ,

To accommodate the new game parts belonging to a box 9 is used, which is dimensioned so that it can accommodate the individual parts · To save space, they are arranged in the coastal 9 in the best possible manner to each other, that is, taking advantage of their shape they are put together so that only a minimal space requirement is given. The box 9 is supplemented by a cover 10, and also comprises a board or panel 11 which, by virtue of its design, serves as a support for the laying of patterns or molds. The working surface of the panel 11 may be provided with a temporary adhesive layer which ensures the cohesion of the molds resulting from the joining of parts.

In box 9, there will also be one or more sheets 12 with drawings showing how using the parts belonging to the game can result in different shapes. · This is intended as a guide for the users of the game and should stimulate them at the same time, independently new shapes to develop·

Claims (14)

A game for laying pictures, shapes or patterns consisting of a plurality of parts which can be put together in different ways to give different shapes and patterns, characterized in that a plurality of parts (1 to 8) of different shapes are used as joint IDl have a te surfaces of a corresponding shape and dimension, are joined together, by juxtaposition of surfaces are connected to each other and thereby structures of different configurations arise, the parts (1 to 8), of elements in pyramidal or octahedral form, two at their Basal surfaces with each other bound pyramids or segments of these forms · 2. game according to claim 1, characterized in that the pyramid-shaped parts (2) have a square base area and a height which corresponds to half the side of the base area · 2 83 77 claims 3 * Game according to claim 1, characterized in that the double-pyramidal parts (1) have a square base surface, wherein the length of the minor axis corresponds to one side of the square base surface · (4) in the form of a straight pyramid, the base of which has a right-angled isosceles triangle (1, 1, V "2) and whose side faces are defined by two triangles (1i T 3/2, iT3 / 2) and a triangle (V 2, V 3/2, V3 / 2) are formed · 4 · game according to claim 1, characterized in that it comprises parts (3) in the form of a straight pyramid with a rhombic base, the angles of the base being 70 ° 31 »44" and 109 ° 28 »16" to the base surface side (* / 3/2) and the height Ύ2 / 2. (5) in the form of a tetrahedron formed by four identical triangular faces (1, -f 3/2, Y "3/2). 5. game according to claim 1, characterized in that it parts (6) in the form of a right - angled tetrahedron constituted by three rectangular triangular faces of dimensions (1, V 2/2, -f 2/2), (V 2/2, Y "3/2, 1 / 2) and (V 2/2, V 3/2, 1/2) and a gleiohechenkligen triangle 3/2, T 3/2) is formed. 6 «game according Anspruoh 1, characterized in that there are parts Play as claimed in claim 1, characterized in that there are parts 8. game according to claim 1, characterized in that it comprises two parts (7; 8), the mirror images of each other and symmetrically uneind aind obtained by dividing a part (6) by a plane extending over half of an isosceles Dreieoks (1, V 3/2, Y * 3/2) and the opposite side of a rectangular tetrahedron with the dimensions (1, V "2/2, W 2/2) 1 (V 2/2, f 3/2, 1/1); (V 2/2, V "3/2, 1/2). 9. game according to claim 1 to 8, characterized in that the surfaces of the parts belonging to the game are provided with means for permanent connection, that duroh juxtaposition of the respective identical surfaces of two or more parts forms forms and a mutual juxtaposition of the parts is reachable. 10. Game naoh claim β, characterized in that the connecting elements are permanent magnets with different polarity. 11. game according to claim 9 and 10, characterized in that the magnets are arranged in the surface of the individual parts. 12. Game naoh claim 9 and 10, daduroh characterized in that the magnetic elements (N or S) of a polarity in the regularly shaped projection of some parts of the game are used, while the magnetic elements (S and N) of the other polarity on the ground a recess with the same shape in the Paßflachen other parts are arranged. Game according to Claim 9, characterized in that the connecting elements of the parts have regularly formed projections (Tj V) and recesses (Uj X) of a corresponding shape in the mating surfaces of other parts. Play according to claim 9, characterized in that the connecting elements of the parts are formed by recesses (X) in the surfaces of the parts in which additional auxiliary elements (Z) are located whose shape matches the shape of the recesses (X) and whose height is twice the depth of each recess (X), with additional additional auxiliary elements (Y) are provided whose height! half of the auxiliary elements (Z) and which are provided for covering the recesses (X) in the exposed surfaces of the parts. Hicnu 4k Seihen