EP2799120A1

EP2799120A1 - Three-dimensional systems structured by nesting six polyhedra respectively in a sphere

Info

Publication number: EP2799120A1
Application number: EP11878566.6A
Authority: EP
Inventors: Hector Fabian AYALA CORDOVA
Original assignee: Individual
Current assignee: Individual
Priority date: 2011-12-30
Filing date: 2011-12-30
Publication date: 2014-11-05
Anticipated expiration: 2031-12-30
Also published as: EP2799120B1; EP2799120A4; WO2013097872A1

Abstract

The invention relates to three-dimensional systems structured by nesting six polyhedra respectively in a sphere, each of said systems being formed by four assemblies having a regular polyhedral configuration (C1, C3, C4, C5), one assembly having a regular star polyhedral shape (C2) and one assembly having a spherical shape (C6), which are housed inside one another without leaving any empty inner spaces, such that they are enclosed in the sixth assembly which has a spherical external form that is different from the previous assemblies, each assembly of each system being made up of a predetermined number of parts in accordance with the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13), the parts thereof being assembled together magnetically by means of several internal magnets which are positioned in a pre-determined ordered manner inside each part and which are also used to house same inside the immediately larger assembly, in the form a jigsaw with successive levels of difficulty. Figure 1 is a perspective view of an illustrative section of the systems.

Description

This invention refers as its title indicates, to convertible devices, compound or integrated by magnetic assembling pieces, which allows building different independent assemblies of different sizes, but proportional to each other, to support the respective housing of ones into others and at the same time in some general assemblies.
The completion of each of the systems, according to the invention require certain difficulty coefficients for the building of the different independent assemblies of each system and they entail increasing difficulty levels for integrating said assemblies into each others and these at each general assembly.
The development of this invention aims to be manufactured of recycled ABS plastic or in a rice-based vegetable plastic, or other types of plastic, metal, wood, among others.

BACKGROUND OF THE INVENTION

By conducting a research in the prior art, we find the following documents: WO2011143828 , puzzle piece easy to be bent and folded includes two unit puzzle pieces (1, 2) connected together. The unit puzzle pieces (1, 2) are connected at their outer sides by means of a lamina (3) with a given width. The inner side of the connection position of the two unit puzzle pieces (1, 2) is depressed and forms groove, and the outer side is planar. With the above structure, bending and folding of the unit puzzle pieces (1, 2) can be imparted a given benefit, so that accuracy of manufacture needs not to be very exact.
The manner of assembling the various members or parts that form both independent assemblies as the general assembly, by various internal magnets strategically placed on each piece, they do little assimilable invention is the design of the very different and diverse systems in assembly such assemblies exist in the prior art or state of the art.
We could summarize that, in these or similar characteristics, you can not find other building assemblies that are assembled together and piece by piece.
In the true and primitive building systems called Meccans, the openwork structure of the pieces allowed their union with screws, nuts, bolts or the like.
With the development of these structures in plastics, it has been possible to develop assemblies analogous to the above union and other by tongue and groove assembly geometric protrusions that fit into respective accommodation symmetrical configuration.
Also other systems are developed by clamping assembly so that a female member forked or in an equivalent way, receives a complementary male adjustable pressure member in said housing, with possibilities to articulate or rotate, or both functions.

Inventive Step

The devices develop some assemblies, which are independent, specific, accurate and with a certain regular geometric configuration.
A given configuration and a proportional volumes that allow enrol or stay in each other in respective logic and proportion to their sizes.
Some independent groups that integrated each other respectively, are finally housed in a general assembly having a geometric, outer, totally different to internal joint development, offering solid spherical appearance.
Some independent assemblies consisting of groups of parts that follow a mathematical sequence called Fibonacci (1, 1, 2, 3, 5, 8, 13), and proportional to the scale of the golden Fi (1,618) size, that solve these systems, solid figures are available in the form of spheres.
A general system internally adapted to accommodate other integrated independent assemblies; composed of a minimum of parts that are within the Fibonacci sequence and exterior solid ball.

DISCLOSURE OF THE INVENTION

The devices consist, according to some of their characteristics, by a group of four assemblies of a regular general polyhedral configuration, an assembly of star-shaped regular polyhedral configuration, and an assembly of spherical configuration for a total of six assemblies of regular geometric general configuration internally emptied so that the inner hollow of said independent assemblies is the housing for the next independent and of a lower level assembly since such assemblies are proportionately complementary in a progressive increase from the first to the sixth.
Another feature of these independent assemblies, according to the invention is that they are formed by a number of parts that follow the Fibonacci (1, 1, 2, 3, 5, 8, 13) and bind sequence magnetically which is the means to arm each independent assembly and the middle joint to fit inside each other.
Another feature of the device is that the assembly of the independent assemblies referrals are made in a precise mathematical order and being otherwise impossible to place and, consequently, the assembly between independent assemblies require a certain level of difficulty that hardens proportional to the solution of the system, culminating in the property on a general assembly order.
A general assembly according to the devices whose main feature is to present a uniform solid and different internal geometry assemblies form external volume aspect that surround assembly consisting of several parts as Fibonacci sequence (1, 1, 2, 3, 5, 8, 13) lead to thousands of possibilities, but only one is correct due to the strategic location of the internal magnets of the pieces.
All these interpretations according to the invention gives two options to devices, the power carried out by starting the assembly or fully assembled or exploded starting from intermediate situations, with mounted independent assemblies, SKD, semi assembled, so that the user gradually acquires knowledge of each system which, in turn increases the degree of difficulty increases as the number of pieces sequentially in each system.
Each system has a certain number of pieces that follow the Fibonacci (1, 1, 2, 3, 5, 8, 13) sequence, and the system is composed by independent groups at your compounds see for a number of pieces that also follow a Fibonacci sequence
(1, 1, 2, 3,5, 8, 13), giving rise to the first system 33 parts which is the result of the sum of the first seven of the sequence numbers (1, 1, 2, 3, 5, 8, 13), or the spare system 54 is the result of the sum of the first eight sequence numbers (1, 1, 2, 3, 5, 8, 13, 21) or the system 143 parts which is the result of the sum of the ten numbers in the sequence (1, 1, 2, 3, 5, 8, 13, 21, 34,55), etc.
Each system is composed of six independent assemblies, the same which, in turn are composed of a defined number of pieces that follow a Fibonacci (1, 1, 2, 3, 5, 8, 13) sequence, and can also be armed by separated.
Each system is structurally based on the nesting of the strategic isolation of the five regular polyhedra and a star tetrahedron in a sphere without leaving internal voids, resulting in a sphere of solid appearance.
Each independent assembly of each system is based on the strategic isolation of the five regular polyhedra regular polyhedron star (star tetrahedron), and sphere.
The philosophy that is designed this three-dimensional system is based on technological aspects scientific, recreational, and historical creation of the universe such as the Big Bang, the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13 ) clearly explained in the preceding paragraphs, the Fi (1, 618) constant as the systems are built on this scale, the theory of the elements (fire, earth, air, water, ether) represented by the five regular polyhedra Plato, and according to many psychologists claim that interact with these regular volumes, the human being jointly coordinated by the two cerebral hemispheres, increasing the logical and creative abilities in humans, own capabilities offered each cerebral hemisphere.
As an example for this description, as for the rest of this documentation, we will guide the three-dimensional system of 33 pieces, in which his first independent and less volume assembly, depending on the device, is an octahedron, or a polyhedron Regular eight triangular faces, one of them emptied in which other regular polyhedron is embedded
four triangular faces called tetrahedron but with three quarters less the volume of the octahedron.
This first independent assembly, according to the invention consists of two parts that are joined by the action of the internal magnets in each piece, and to stay within the tetrahedron octahedron the first independent assembly with minimal difficulty is assembled and is ready to stay in the second assembly.
The second assembly according to the invention has a similar configuration to that of the first assembly but starry outer octahedral shape and a drain, is a starry octahedron known as star tetrahedron. It consists of a assembly of two parts in the Fibonacci (1, 1, 2, 3, 5, 8, 13), axially symmetric, each sequence comprising four tetrahedra joined so that they leave a recess in the form of pyramid with quadrangular base, that by joining the two pieces by the square sides, is hosting a recess inside the first assembly went really.
The coupling of these two assemblies implies a certain level of difficulty by the strategic location of the internal manes in the respective parts.
The third assembly of the invention is also constituted by a regular polyhedron of six square faces called hexahedron or cube with an internal recess in the form of star tetrahedron. This assembly is composed of three parts, following the Fibonacci (1, 1, 2, 3, 5, 8, 13) sequence of varied geometry, each linked by two square faces respectively in which tetrahedra semi regular stick with equal sides two by two. Each of these pieces have on their inner surfaces bonded three, four and five respectively semi regular tetrahedra joined by its edges to the same magnitude as the star tetrahedron edges of the second assembly, and seasoned parallel to the edges of the square with the unique longest edge of the tetrahedra semi regular.
Emptying inside it the third assembly is exactly calculated and designed to accommodate the second assembly, also a certain degree of difficulty of the shape of parts and the location of the magnets in the interior thereof.
The fourth assembly, according to the invention, is a assembly of polyhedral outwardly twelve pentagonal faces, of compact appearance, with
hexahedral emptying interior, perfectly adapted and calculated for the accommodation of the third assembly with their respective difficulty.
The above assembly according to the invention consists of five parts in the Fibonacci (1, 1, 2, 3, 5, 8, 13) sequence so varied and geometry, strategic product switching regular polyhedron called dodecahedron, with a recess inside hexahedral, which are joined by attracting effect of internal manes in each piece.
The fifth assembly, according to the invention is also a assembly of twenty polyhedral outward triangular faces, of compact appearance, with a hollow inner dodecahedral, ideally suited and calculated for receiving the fourth assembly with a higher degree of difficulty than the previous assembly. This assembly according to the invention consists of eight parts in the Fibonacci (1, 1, 2, 3, 5, 8, 13) sequence so varied and geometry, strategic product switching regular polyhedron called icosahedron, dodecahedron with a recess inside that bind the effect of internal magnets attracting each piece.
The sixth and final assembly, according to the invention is assembly outside spherical, compact appearance with a cast icosahedral interior, perfectly calculated and adapted for receiving the fifth assembly with the highest difficulty level.
This last assembly, according to the invention consists of thirteen pieces of varied shape and spherical geometry with aspect-regular triangular caps, switching product strategic sphere with a dodecahedral internal drain, which are joined by attracting effect of internal magnets of its parts.
In essence these are the characteristics of the different groups that make up the composition of the three-dimensional system of 33 pieces like this system, other systems are developed these features with the difference that each independent assembly of each system is composed of one well-defined number of pieces, depending on the case, and that these separate assemblies may be assembled and stay on one inside another in a process that involves difficulty eleven levels respectively.
A broader features of the invention idea we will then referring to the sheets of the drawings herein is accompanied, in a somewhat schematic and only by way of example, representing the preferred details and vital parts of the system 33, which is the pattern that are designed these three-dimensional systems.
In the drawings:

Figure 1 is a perspective view of an illustrative cutting of the three-dimensional systems.
Figure 2 is a perspective view of the first assembly attached.
Figure 3 is a view of the first assembly with its parts detached.
Figure 4 is a second perspective view of the completed assembly.
Figure 5 is a view of the second assembly with parts removed and with the first assembly to the center mounting assembly.
Figure 6 is a third perspective view of completed assembly.
Figure 7 is a view of the third assembly with disassembled parts, and with the second assembly to the center mounting assembly.
Figure 8 is a perspective view of the fourth assembly together, and assembly the third assembly, the assembly center.
Figure 9 is a view of the fourth assembly with disassembled parts
Figure 10 is a perspective view of completed assembly of the fifth, fourth and the completed assembly, the assembly center.
Figure 11 is a view of the fifth assembly with exploded.
Figure 12 is a perspective view of the sixth and final assembled group.
Figure 13 is a representative view of the two pieces of the sixth assembly as armed fifth assembly, center mounting.

PREFERRED EMBODIMENT OF THE INVENTION

The aspects of the preferred embodiment of the invention, as outlined in the various drawing figures comprise developed before the six main assemblies comprising each of the three-dimensional systems, and according to these illustrations are marked by their respective volumes (C1) the first assembly, with (C2) the second assembly, with (C3) for the third assembly, with (C4) the fourth assembly to (C5) a fifth assembly, all outer polyhedrical inner development and emptying; being (C6) the sixth and final assembly having outer and inner spherical form icosahedral emptying.
According to the system of 33 parts, the unit (C1) comprises two smaller parts as shown depicted in Figure 2 comprises two parts.; tetrahedron (13) and octahedron (14), with internal emptying (15) as a tetrahedron that enables seamless piece assembly (13) into the work piece (14) the effect of the internal magnets (+/-), strategically located in its parts to form a single assembly resolution.
According to the system of 33 pieces, the aforementioned assembly (C2) is also composed of two symmetrical parts (21) square base (22) and four starry faces formed by tetrahedra (23). These pieces have a square-based pyramidal casting (24) in which half of the octahedron (14) is housed, the same applies to the other symmetrical part (21) on a recess inside the octahedral said symmetric joining pieces ( 21) to join the sides of the square base (24) leading to the space occupied by the assembly (C1) the effect of the magnets (+/-) strategically located in their respective parts for one form of relief.
According to the system of 33 pieces, the aforementioned assembly (C3) with polyhedral structure like the above, consists of three parts (31, 32, 33) are the same as the switching product strategic hexahedron or cube with a recess inside star tetrahedron shaped, which enables accurate assembly housing (C2).
The piece (31) consists of two squares (311, 312) perpendicularly joined at their respective edges, and which at the inner side by 90 degrees, is stuck a semi-regular tetrahedron equal sides two by two (313), the same that is connected by its long edge of the graph according to part (31), likewise on the inner side of the square (312) are attached two equal sides tetrahedra semi regular two by two (313), aligned with their major edges to the edges of the square (312) as the graph part (31). The same applies to the parts (32 and 33), with the difference that the part (32) has in its inner faces (314, 315), glued four equal sides semi regular tetrahedra in pairs according drawing room (32 ) , and the part (33), is glued on their inner sides (316, 317) equals five tetrahedrons semi regular faces two by two (313), is plotted as the work piece (33).
By solving this assembly (C3) leaves an internal drain as star tetrahedron with the exact volume of the assembly (C2) to accommodate it went really, thanks to the internal magnets (+/-) strategically placed for a single form of armed, and thus advance the degree of difficulty of the puzzle.
According to the system of 33 pieces, the said assembly (C4), with outer dodecahedron structure, following the Fibonacci (1, 1, 2, 3, 5) sequence consists of five pieces volumetrically reports (41, 42, 43, 44 , 45), they are the product of a strategic dodecahedron sectioning with an internal recess in the form of hexahedron, it allows precise assembly housing (C3).
The parts (42 and 43), are volumetric and structurally identical, but different in magnetic aspect, in which the polarity of the internal magnets (+/-), these parts have a triangular base pyramid drain (421). The piece (41) has a volume report with a pentagonal face (41) exact area to the side of the dodecahedron (C4), and parts (44 and 45) are similar but not identical parts, which together form the space to accommodate the work piece (41), these two parts (44 and 45) have emptied pyramid with triangular base (421), identical to the casts of parts (42 and 43).
By solving this assembly (C4) by the action of the internal magnets (+/-) strategically located within those parts, provides the space or emptying internal cube-shaped, allowing millimetre assembly housing (C3), aspect which gives an extra degree of difficulty in this puzzle.
According to the system of 33 pieces, the said assembly (C5), equal to the external appearance of the icosahedron, and following the Fibonacci (1, 1, 2, 3, 5, 8) sequence consists of eight pieces (51, 52, 53, 54, 55, 56, 57, 58), volume and report structure, strategic product switching the icosahedron with an internal drain as dodecahedron, which allows the assembly housing millimetre (C4).
The parts (51, 52,53, and 54), are volumetric and structurally identical, but different in magnetic polarity aspect of the internal magnets (+/-). The parts (55 and 56) are also structurally identical volume but different in magnetic polarity aspect of the internal magnets (+/-). And the remaining parts (57 and 58) are also identical to each other, but not in the magnetic polarity of the internal magnets (+/-) aspect.
The group of pieces (51, 52, 53, 54) are axially symmetric parts group (55 and 56), or nails are a reflection of the other, of course, only the volumetric and structural aspect, since the magnetic aspect, they are all different.
Solving the (C5) group, an icosahedron is formed with an internal drain went really able to stay the whole (C4), creating a further degree of difficulty to the puzzle because of several possibilities, there is only one way reinforced by location strategic internal manes of their parts.
According to the system of 33 parts, the final enclosure or assembly (C6) has a generally spherical shape outside. It consists of thirteen parts in the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13). These thirteen pieces are divided into two groups of seven (61) and six (62) parts respectively. The seven parts (61) are identical in size and structure, but different in magnetic aspect (+/-) have a spherical cap shape comprising two rhomboid equilateral triangular volumes (62) attached by their base. The other six pieces (62) are also identical to each other in the areas of volume and structure, but not in the magnetic aspect (+/), triangular-shaped caps equal sides.
By solving the assembly (C6), a sphere is formed compact appearance with an internal recess in the form of an icosahedron which allows millimetre assembly housing (C5). Its solution depends on the correct and only way reinforced due to the strategic location of the internal magnets (+/-) of its parts, as it has more than three thousand possibilities for the number of parts that make up the whole (C6) , and the number of parts of the group (C5) which is at the next lower position, and in taking into account the arrangement of the inner magnets in these parts, the chances to grow to over a million and a half, achieving Thus a high ceiling of difficulty in building the puzzle.
The assembly of these six assemblies is performed with some difficulty coefficients are called levels of difficulty, and comprise up to eleven levels in which the difficulty varies depending on the sequence to occur in the assembly.
For example the levels can be developed as follows:

FIRST LEVEL: It is made with two pieces of the first assembly.
SECOND LEVEL: It is made with two pieces of the second assembly.
THIRD LEVEL: It blocks the assembly of the three pieces of the third assembly.
FOURTH LEVEL: It blocks the assembly of the five pieces of the fourth assembly.
FIFTH LEVEL: It blocks the assembly of the eight pieces of the fifth assembly.
SIXTH LEVEL: It blocks the assembly of the sixth assembly of thirteen pieces.
SEVENTH LEVEL: It is the combination of the two pieces of the first assembly and the two parts of the second assembly, transforming it into an assembly.
EIGHTH LEVEL: It is made by combining the two pieces of the first assembly, the two parts of the second and third assembly of three pieces, transforming it into an assembly.
NINTH LEVEL: It is made by combining the two pieces of the first assembly, two the second, three the third, and five in the fourth assembly, making it a single assembly.
TENTH LEVEL: It is made by combining the two pieces of the first assembly, two the second, three the third, five in the fourth and fifth assembly of eight pieces, transforming it into an assembly.
LEVEL ONE TENTH: It is made by combining all the pieces, including the thirteen assembly parts (C6), in a logical order that advances in ascending order based on the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13) to reach the area, becoming a single compact spherical array without spaces internal voids, and that this area is home to the five Platonic solids and a tetrahedral star, fundamental aspects of this and all possible three-dimensional systems that follow the Fibonacci sequence, fitting with the features of this invention.

Once properly described the nature of the invention is stated for all purposes, the same is not limited to the exact details of this presentation, but instead, it changes deemed necessary will be introduced, of course, without the essential characteristics, which are claimed then altered.

Claims

Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, constituted by groups of independent assemblies composed by a given number of parts in accordance with the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13), all of them having volume and geometric structure, due to the strategic switching from regular polyhedra, of a star-shaped regular polyhedron, and a sphere, equipped with magnets inside, for coupling and assembly between them, including a development of increasing levels of difficulty for the housing within each other, and eventually all being housed in the last one, characterized in that each of these systems are composed of six independent assemblies (C1, C2, C3, C4, C5, C6), and each independent assembly is framed with the number of parts according to the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13), and having regular polyhedral configuration the four independent assembly (C1, C3, C4 and C5), of star-shaped regular polyhedral configuration the independent assembly (C2), and spherical configuration the sixth independent assembly (C6), internally emptied and with a proportional volume for successively housing the first into the second, the second into the third, the third into the fourth, the fourth into the fifth, and all into the sixth, independently of having an external spherical shape of a compact appearance without internal empty spaces.
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 1, from said group of independent assemblies, the first assembly of regular polyhedral configuration (C1) characterized in that comprises several parts that follow a particular determined numbered sequence called Fibonacci (1, 1, 2, 3, 5, 8, 13); of tetrahedral form (13), and octahedral form (14).
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 2, parts (13 and 14) are characterized by having magnets (+/-) on their inner sides respectively, each strategically oriented to its opposite (+/-), to ensure only one way of assembly, making it the smallest independent assembly of the mentioned systems.
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 1, the second independent assembly having a external form of a star-shaped regular polyhedron (C2), characterized in that it comprises several symmetrical parts according to the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13), with star-shaped faces formed by tetrahedrons (23).
Three-dimensional structured systems nesting polyhedra six sphere respectively, according to claim 4, the symmetrical parts (23), characterized in that by coupling they form a pyramidal hollow with a square base (24) that allows millimetrical housing of the octahedron (14).
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claims 4 and 5, these tetrahedrons (23), characterized in that their inner faces magnets (+/-) adhere, respectively one per side, magnetically oriented to its opposite, both the magnets (+/-) of the octahedron (14) as well as the magnets (+/-) of the third independent assembly (C3), which strategically allow only one way of assembly.
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 1, the third assembly with polyhedral volume shape and hexahedral structure (C3), characterized in that it consists of several parts (31, 32 , 33) according to Fibonacci sequence (1, 1, 2, 3, 5, 8, 13) sequence, which they are the product of the strategic sectioning of the hexahedron or cube with a hollow interior shaped as a star tetrahedron, which allows the exact housing of the assembly (C2).
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 7 the assembly (C3), characterized by having attached respectively in the inner faces of the pieces, magnets (+/-) strategically oriented to their opposites, both the assembly (C2), as well as the assembly (C4) to achieve one single form of assemblage.
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 1, the fourth assembly with externally dodecahedron structure (C4), characterized in that by following Fibonacci sequence (1, 1, 2, 3, 5), consists of several parts volumetrically formless (41, 42, 43, 44, 45), which are the product of the strategic sectioning of the dodecahedron with an internal hollow shaped as hexahedron, which allows precise housing of the assembly (C3).
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 9, characterized in that on the internal faces of these parts magnets (+/-) are bonded strategically placed and oriented to their opposites in order to form the independent assembly (C4), and also to adhere to the independent assembly (C3) as well to the independent assembly (C5).
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 1, the fifth independent assembly (C5), characterized by having an external appearance equal to the icosahedron, and following the Fibonacci sequence (1, 1, 2, 3, 5, 8), is made up of several parts (51, 52, 53, 54, 55, 56, 57, 58), having shapeless volume and structure, product of the strategic sectioning of the icosahedron with an internal hollow shaped as a dodecahedron, allows millimetrical housing of the which allows the millimetrical housing of the assembly (C4).
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 11, wherein the parts (51, 52, 53, 54, 55, 56, 57, 58) are characterized as being different in magnetic aspect due to the location and polarity of the magnets (+/-), which are attached at their internal faces according to a graphic of these parts, which facilitates assembly among them and also adherence to the independent assemblies (C4) and (C6).
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 1, the sixth and last independent assembly (C6), characterized in that it is the final wrapping of the three-dimensional system, having a general spherical external form and that is formed by several parts following the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13). These parts are divided into two groups; (61) and (62) respectively.
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 13, the group of parts (61), characterized as being identical to each other, in size and structure, but different in magnetic aspect (+/-), having a spherical cap shape, and their internal faces have attached two separate magnets (+/-) that are magnetically oriented to their opposites, both of the same independent assembly (C6) as well as to the independent assembly (C5 ), as detailed in the chart of the parts (61).
Three-dimensional systems structured six nesting polyhedra in a sphere respectively, according to claim 14, the group of pieces (62), characterized as being identical to each other, in the aspects of volume and structure, but not in the magnetic aspect (+/-), having triangular-shaped caps of equal edges, and its internal faces have attached two separate magnets (+/-) that are magnetically oriented to their opposites, both of the same independent assembly (C6), as well as to the independent assembly (C5), as detailed in the chart of the parts (62).
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claims 13, 14 and 15; the independent assembly (C6), characterized in that by solving the independent assembly (C6), a sphere is formed having a compact appearance with an internal hollow in the form of an icosahedron which allows the millimetre housing of independent assembly (C5), and the solution depends on unique and correct way for assemblage, due to the strategic location of the internal magnets (+/-) on its parts, as it has thousands of possibilities due to the number of parts that make up the independent assembly (C6) ; and because of the number of pieces of the independent assembly (C5) which is located in the next lower position, the chances increase to over a million and a half, thus achieving a high limit of difficulty in assembling these three-dimensional systems.
Three-dimensional systems structured by nesting six polyhedra in a sphere respectively, according to claim 1, wherein the assemblies (C1), (C2), (C3), (C4), (C5) and (C6), characterized in that the assembly of the six independent assemblies in each three-dimensional systems are made with coefficients of some difficulty and comprise up to eleven levels respectively, wherein the difficulty varies according to the sequence given during assembly.