EP2799120B1 - Durch verschachtelung von je sechs polyedern in einer kugel strukturierte dreidimensionale systeme - Google Patents

Durch verschachtelung von je sechs polyedern in einer kugel strukturierte dreidimensionale systeme Download PDF

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Publication number
EP2799120B1
EP2799120B1 EP11878566.6A EP11878566A EP2799120B1 EP 2799120 B1 EP2799120 B1 EP 2799120B1 EP 11878566 A EP11878566 A EP 11878566A EP 2799120 B1 EP2799120 B1 EP 2799120B1
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Prior art keywords
assembly
parts
independent assembly
independent
dimensional system
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EP11878566.6A
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English (en)
French (fr)
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EP2799120A1 (de
EP2799120A4 (de
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Hector Fabian AYALA CORDOVA
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    • A—HUMAN NECESSITIES
    • A63—SPORTS; GAMES; AMUSEMENTS
    • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00—Games not otherwise provided for
    • A63F9/06—Patience; Other games for self-amusement
    • A63F9/12—Three-dimensional jig-saw puzzles
    • A—HUMAN NECESSITIES
    • A63—SPORTS; GAMES; AMUSEMENTS
    • A63H—TOYS, e.g. TOPS, DOLLS, HOOPS OR BUILDING BLOCKS
    • A63H33/00—Other toys
    • A63H33/04—Building blocks, strips, or similar building parts
    • A63H33/046—Building blocks, strips, or similar building parts comprising magnetic interaction means, e.g. holding together by magnetic attraction
    • A—HUMAN NECESSITIES
    • A63—SPORTS; GAMES; AMUSEMENTS
    • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00—Games not otherwise provided for
    • A63F9/06—Patience; Other games for self-amusement
    • A63F9/12—Three-dimensional jig-saw puzzles
    • A63F9/1208—Connections between puzzle elements
    • A63F2009/1212—Connections between puzzle elements magnetic connections
    • A—HUMAN NECESSITIES
    • A63—SPORTS; GAMES; AMUSEMENTS
    • A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
    • A63F9/00—Games not otherwise provided for
    • A63F9/06—Patience; Other games for self-amusement
    • A63F9/12—Three-dimensional jig-saw puzzles
    • A63F2009/124—Three-dimensional jig-saw puzzles with a final configuration being a sphere

Definitions

  • 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.
  • each of the systems 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.
  • the document US5118111 discloses a three-dimensional system structured by nesting six polyhedra in a sphere respectively, constituted by groups of independents assemblies composed by a given number of parts, all of them having volume and geometric structure, due to the strategic sectioning of a regular polyhedra, a star-shaped regular polyhedron, and a sphere, including a development of increasing levels of difficulty for the housing within each other, and eventually all forming one structure having an external spherical shape of a compact appearance without internal empty spaces.
  • Meccans In the building system called Meccans, the openwork structure of the pieces allowed their union with screws, nuts, bolts or the like.
  • 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.
  • the devices allow themselves to join or stay in each other in respective logic and in proportion to their sizes.
  • the invention provides a three-dimensional system according to claim 1.
  • Each assembly has a certain number of parts that follow the Fibonacci sequence 1, 2, 3, 5, 8, 13.
  • a first system would have 33 pieces which is the result of the sum of the first seven numbers of the sequence (1, 1, 2,3,5, 8,13), or a second system of 54 pieces which is the result of the sum of the first eight numbers of the sequence (1, 1, 2,3,5,8,13,21), or a third system that has 143 pieces 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 parts that follow a Fibonacci sequence, and can also be assambled separatelly.
  • Each system is structurally based on the nesting of five regular polyhedra and a star tetrahedron in a sphere without leaving internal spaces, resulting in a sphere of solid appearance.
  • Each independent assembly of each system is based on the strategic sectioning of the five regular polyhedra of the regular star polyhedron (star tetrahedron), and the sphere.
  • this description will describe the three-dimensional system of 33 pieces, in which the first independent assembly and with less volume, according to the system, is an octahedron, or a regular polyhedron of eight triangular faces, one of them emptied in which another regular polyhedron of four triangular faces is embedded, and it is called tetrahedron but with three quarters less of the volume of the octahedron.
  • This first independent assembly consists of two single parts that are joined by the action of the internal magnets in each part and when the tetrahedron stays within inside the octahedron the first independent assembly is assembled with a minimal difficulty, being ready to stay within the second independent assembly.
  • the second second independent assembly has a similar configuration to that of the first assembly but with a starry outer shape and with an internal octahedral space, being known as a octahedron star. It consists of two parts in the Fibonacci seccuence, axially symmetric, each sequence comprising four tetrahedra joined so that they leave a recess in the form of a pyramid with quadrangular base, that by joining the two pieces by the square sides, leaves an internal recess that millimetrically hosts the first assembly.
  • 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 a star tetrahedron.
  • This assembly is composed of three parts, following the Fibonacci sequence of varied geometry, each linked by two square faces respectively, in which semiregular tetrahedra are stuck with equal sides of two by two.
  • Each of these parts has adhered on it inner surfaces, three, four and five respectively semiregular tetrahedra, joined by thier edges which are of the same magnitude as the star tetrahedron edges of the second assembly, and allianed in parallel to the edges of the squares with the unique and longest edges of the semiregular tetrahedra.
  • the internal recess of the third assembly set is exactly calculated and designed to accommodate the second set, also with a certain degree of difficulty due to the shape of its parts and the location of the magnets in the interior thereof.
  • the fourth assembly is an external polyhedral assembly of twelve pentagonal faces, with a compact appearance, with an hexahedral interior recess, 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 sequence with varied form and geometry, due to the strategic sectioning of the regular polyhedron called dodecahedron, with a hexahedral internal recess, which are joined by the attracting effect of the internal magnets in each part.
  • the fifth assembly is also an external polyhedral assembly compossed of twenty triangular faces, of compact appearance, with a inner dodecahedral recess, perfectly 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 sequence with varied form and geometry, due to the strategic sectioning of the regular polyhedron called icosahedron, with an internal dodecahedron recess, which are joined by the the attracting effect of the internal magnets in each part.
  • the sixth and final assembly is an external spherical assembly, of a compact appearance with in inner icosahedral recess, perfectly calculated and adapted for receiving the fifth assembly with the highest difficulty level.
  • This last assembly consists of thirteen parts of varied shape and geometry with an aspect of regular spherical and triangular parts, due to the strategic sectioning of the sphere with a dodecahedral internal recess, which are joined by the the attracting effect of the internal magnets in each part.
  • 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.
  • 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.
  • 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 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).
  • 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 (+/-).
  • 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.
  • 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.
  • 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.
  • levels can be developed as follows:

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  • Multimedia (AREA)
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Claims (15)

  1. Dreidimensionale Systeme mit sechs unabhängigen Baugruppen, die eine Kugel bilden, wenn verbunden, wobei jede der sechs unabhängigen Baugruppen (C1, C2, C3, C4, C5, C6) aus einer gegebenen Anzahl von Teilen zusammengesetzt ist, wobei alle Teile ein Volumen und eine geometrische Struktur aufweisen, gebildet durch strategisches Unterteilen eines regelmäßigen Polyeders, eines sternförmigen regelmäßigen Polyeders und einer Kugel, besagte Teile sind mit Magneten im Inneren für die Kopplung und Montage zwischen jeder unabhängigen Baugruppe ausgestattet, einschließlich einer Entwicklung von zunehmenden Schwierigkeitsgraden für das ineinander Aufnehmen und wobei schließlich fünf der unabhängigen Baugruppen (C1, C2, C3, C4, C5), in der sechsten unabhängigen Baugruppe aufgenommen sind, wobei vier der unabhängigen Baugruppen (C1, C3, C4, C5) eine regelmäßige polyedrische Konfiguration aufweisen, wobei eine der unabhängigen Baugruppen (C2) eine sternförmige, regelmäßige, polyedrische Konfiguration aufweist, wobei jede unabhängige Baugruppe eine Anzahl von Teilen gemäß der Fibonacci-Sequenz (1, 1,2, 3, 5, 8, 13) umfasst, wobei besagte sechste unabhängige Baugruppe (C6) intern entleert ist und ein proportionales Volumen zum aufeinanderfolgenden Aufnehmen der ersten unabhängigen Baugruppe, welche in die zweite mit einer äußeren kugelförmigen Konfiguration verschachtelt ist, aufweist; wobei die zweite unabhängige Baugruppe in die dritte unabhängige Baugruppe eingeschachtelt ist; wobei die dritte unabhängige Baugruppe in die vierte unabhängige Baugruppe eingeschachtelt ist, wobei die vierte unabhängige Baugruppe in die fünfte unabhängige Baugruppe eingeschachtelt ist, und alle in die sechste unabhängige Baugruppe.
  2. Dreidimensionales System nach Anspruch 1, wobei die erste Baugruppe der regulären polyedrischen Konfiguration (C1) zwei Teile umfasst, eines mit einer tetraedrischen Form (13) und eines mit einer oktaedrischen Form (14).
  3. Dreidimensionales System nach Anspruch 2, wobei die Teile (13 und 14) der ersten unabhängigen Baugruppe an ihren Innenseiten jeweils Magneten (+/-) aufweisen, wobei jeder Magnet strategisch zu seinem Gegenteil (+/-) orientiert ist um eine einzige Art der Montage zu gewährleisten, so dass es die kleinste unabhängige Baugruppe der genannten Baugruppen ist.
  4. Dreidimensionales System nach Anspruch 1, wobei die zweite unabhängige Baugruppe, welche mit eine äußere Form eines sternförmigen regulären Polyeders (C2) aufweist, zwei symmetrische Teile mit sternförmigen Flächen aufweist, die durch Tetraeder (23) gebildet sind.
  5. Dreidimensionales strukturiertes System nach Anspruch 4, wobei die symmetrischen Teile (23) einen pyramidenförmigen Hohlraum mit einer quadratischen Basis (24) bilden, welcher ein millimetrisches Aufnehmem eines Oktaederteils (14) ermöglicht.
  6. Dreidimensionales System nach den Ansprüchen 4 und 5, wobei die Tetraeder (23) an ihren Innenflächen Magneten (+/-) aufweisen, jeweils einen pro Seite, die magnetisch bezüglich dem Gegenpol orientiert sind, wobei sowohl die Magneten (+ / -) des Oktaederteils (14) als auch die Magneten (+/-) der dritten unabhängigen Baugruppe (C3) strategisch lediglich eine Montageart erlauben.
  7. Dreidimensionales System nach Anspruch 1,wobei die dritte unabhängige Baugruppe (3) mit polyedrischer Volumenform und hexaedrischer Struktur aus mehreren drei Teilen (31, 32, 33) besteht, die das Produkt der strategischen Unterteilung eines Hexaeders oder eines Würfels mit einem als Stern-Tetraeder geformten Hohlraum sind, welcher das genaue Aufnehmen der zweiten unabhängigen Baugruppe (C2) ermöglicht.
  8. Dreidimensionale Systeme nach Anspruch 7, wobei die dritte unabhängige Baugruppe (C3) jeweils an den Innenflächen der Teile befestigte Magneten (+/-) aufweist, die strategisch auf ihre Gegenpole ausgerichtet sind, sowohl die zweite unabhängige Baugruppe (C2), als auch die vierte unabhängige Assembly (C4), um eine einzige Form der Montage zu erreichen.
  9. Dreidimensionales System nach Anspruch 1, wobei die vierte unabhängige Baugruppe (C4) welche eine externen Dodekaederstruktur aufweist, aus fünf volumetrisch formlosen Teilen (41, 42, 43, 44, 45) besteht, die das Produkt der strategischen Unterteilung eines Dodekaeders mit einer als Hexaeder geformten Innenvertiefung sind, welches ein präzises Aufnehmen der dritten unabhängigen Baugruppe (C3) ermöglicht.
  10. Dreidimensionales System nach Anspruch 9, wobei auf den Innenflächen der fünf Teile Magneten (+/-) geklebt ,strategisch platziert und auf ihre Gegenpole ausgerichtet sind, um die vierte unabhängige Baugruppe (C4) zu bilden, und auch um die dritte unabhängige Baugruppe (C3) sowie die fünfte unabhängige Baugruppe (C5) zu halten.
  11. Dreidimensionales System nach Anspruch 1, wobei die fünfte unabhängige Baugruppe (C5), ein externs Aussehen gleich eines icosahedrons aufweist, und aud acht Teilen (51, 52, 53, 54, 55, 56, 57, 58) gemacht ist welche Volumen und Struktur aufweisen geformt durch strategisches Unterteilen eines Icosahedrons mit einer als Dodecahedron geformten Innenvertiefung, um ein millimeter genaues Aufnehmen der vierten unabhängigen Baugruppe (C4) zu ermöglichen.
  12. Dreidimensionales System nach Anspruch 11, wobei die acht Teile (51, 52, 53, 54, 55, 56, 57, 58) aufgrund der Lage und Polarität der Magnete (+ / -), die an ihren jeweiligen Innenflächen befestigt sind, sich in magnetischen Aspecten unterscheiden, was die Montage unter ihnen und auch die Haftung an der vierten und sechsten unabhängigen Baugruppen (C4) und (C6) erleichtert.
  13. Dreidimensionales System nach einem der Ansprüche 1 bis 13, dadurch gekennzeichnet, dass die sechste und letzte unabhängige Baugruppe (C6), welches die endgültige Umhüllung oder die umgebende Abdeckung des dreidimensionalen Systems ist, eine allgemeine kugelförmige äußere Form aufweist, die von dreizehn Teilen gebildet wird, wobei diese Teile in zwei Gruppen unterteilt sind, wobei die eine Gruppe aus sieben Teilen (61) besteht und wobei die andere Gruppe aus sechs Teilen (62) besteht.
  14. Dreidimensionales System nach Anspruch 13, wobei die Gruppe von sieben Teilen (61) in Größe und Struktur identisch zueinander ist, jedoch unterschiedlich im magnetischen Aspekt (+/-), wobei die Gruppe eine kugelförmige Kappenform aufweist, und an ihren Innenflächen sind zwei getrennte Magneten (+/-) angebracht, die magnetisch auf ihre Gegenpole ausgerichtet sind, sowohl im Hinblick auf die Teile der sechsten unabhängigen Baugruppe (C6) als auch auf die Teile der fünften unabhängigen Baugruppe (C5).
  15. Dreidimensionales System nach Anspruch 14, wobei die Gruppe von sechs Teilen (62) identisch zueinander ist bezüglich des Volumens und der Struktur, jedoch nicht bezüglich des magnetischen Aspekt (+/-), wobei die Teile dreieckig- förmige Kappen gleicher Kanten aufweisen, und wobei an ihren Innenflächen zwei getrennte Magneten (+/-) angebracht sind, die magnetisch auf ihre Gegenpole ausgerichtet sind, sowohl im Hinblick auf die Teile der sechsten unabhängigen Baugruppe (C6) als auch auf die Teile der fünften unabhängige Baugruppe (C5).
EP11878566.6A 2011-12-30 2011-12-30 Durch verschachtelung von je sechs polyedern in einer kugel strukturierte dreidimensionale systeme Not-in-force EP2799120B1 (de)

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PCT/EC2011/000016 WO2013097872A1 (es) 2011-12-30 2011-12-30 Sistemas tridimensionales estructurados por la anidación de seis poliedros en una esfera respectivamente

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EP2799120B1 true EP2799120B1 (de) 2017-09-13

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AU2015303819A1 (en) 2014-08-11 2017-03-02 Lavermicocca, Giovanni Improved three dimensional puzzle
US10569185B2 (en) 2014-09-16 2020-02-25 Andreas Hoenigschmid Three-dimensional geometric art toy
ES2609131B1 (es) * 2015-10-14 2018-01-23 Universidad De Extremadura Puzle educativo
CN105214324A (zh) * 2015-10-30 2016-01-06 江门市优良电器科技有限公司 一种多面体游戏用积木
CN218589651U (zh) 2022-01-12 2023-03-10 凯文·D·施拉皮克 铰接磁体拼图
US11697058B1 (en) 2022-08-21 2023-07-11 Andreas Hoenigschmid Triple inversion geometric transformations
USD984551S1 (en) 2022-12-20 2023-04-25 Kevin D. Schlapik Puzzle
USD989190S1 (en) 2022-12-20 2023-06-13 Kevin D. Schlapik Puzzle

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US20050014112A1 (en) * 2003-04-03 2005-01-20 Fentress Warren Scott Sacred geometry educational entertainment system
CN2887396Y (zh) * 2006-04-05 2007-04-11 马达飞 一种球型拼装积木玩具
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EP2799120A4 (de) 2016-02-17
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