US3837652A - Solid puzzle - Google Patents

Solid puzzle Download PDF

Info

Publication number
US3837652A
US3837652A US00356227A US35622773A US3837652A US 3837652 A US3837652 A US 3837652A US 00356227 A US00356227 A US 00356227A US 35622773 A US35622773 A US 35622773A US 3837652 A US3837652 A US 3837652A
Authority
US
United States
Prior art keywords
spheres
regular
solid
plan
view
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
Application number
US00356227A
Other languages
English (en)
Inventor
A Kuwagaki
S Takenaka
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Nippon Cloth Ind Co Ltd
Original Assignee
Nippon Cloth Ind Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Nippon Cloth Ind Co Ltd filed Critical Nippon Cloth Ind Co Ltd
Application granted granted Critical
Publication of US3837652A publication Critical patent/US3837652A/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

Links

Images

Classifications

    • 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

Definitions

  • ABSTRACT A solid puzzle of regular geometrical configuration consists of a number of layers of identical spheres, each of said layers including several kinds of connected units of spheres having connecting axes extending through the centers of the individual spheres, all of the connecting axes being on the same plane and any of two adjoining axes forming an included angle of or 2 Claims, 18 Drawing Figures PATENTEDSEPZ-MQH 3.887.652
  • This invention relates to a solid puzzle consisting of spheres of the same diameter. More specifically, it relates to a solid puzzle consisting of two or more spheres of the same diameter connected to each other by axes extending through the centers of the individual spheres (to be referred to as the connecting axes), all of said axes being on the same plane and the connecting axes of any two adjoining spheres forming an angle of either 60, 90, 120 or 180 and those connecting axes can be defined as either an n X 60 group or an n X 90 group or both, in which n is an integer.
  • FIG. 1 is a plan view of a single sphere employed in the present invention.
  • FIG. 2 is a plan view illustrating a number of different units of connected spheres in accordance with the invention.
  • FIG. 3 is a schematic view of a solid figure of a regular quadrangular pyramid formed by the units of FIG.
  • the puzzle of this invention has an advantageous feature in that in building any of a regular tetrahedron, regular quadrangular pyramid, equilateral triangular hexahedron or regular octahedron, there is a wide variety of combinations of assembled positions of the individual connected units of spheres.
  • This solid puzzle possesses much of the character of an intellectual game because a high level of thinking is required of the player in order to find a solution to the largest possible number of the combinations of the assembled positions of the connected units of spheres in the course of building a regular quadrangular pyramid, equilateral triangular hexahedron or regular octahedron.
  • the assembled positions of the connected units of the spheres can be easily ascertained by the player if the spheres of the same diameter which constitute one connected unit are colored in a color different from those of another unit or a suitable sign is attached according to each unit. This makes the game more interesting.
  • FIG. 4 is a plan view of the pyramid of FIG. 3 as seen I from the apex.
  • FIG. 5a is a plan view of the single sphere appearing at the apex of the pyramid of FIG. 3.
  • FIG. Sb is a plan view of the spheres forming the layer just beneath the apex as designated by plane 5 of FIG. 3.
  • FIG. 5c is a plan view of the layer of spheres designated by plane 6 in the pyramid of FIG. 3.
  • FIG. 6 is a plan view in similar fashion to that of FIG. 2 of a plurality of connected units of spheres of the same diameter.
  • FIG. 7 is a schematic perspective view of a solid figure as an alternate embodiment of the present invention.
  • FIG. 8 is a top plan view of the solid figure of FIG. 7 in regular octahedron form as comprised of a number of units of connected spheres in an arranged order.
  • FIG. 9 is a bottom plan view of the solid figure of FIG. 8 as seen from the opposite apex.
  • FIG. 10a is a plan view of the single sphere defining the apex of the regular octahedron of FIG. 7.
  • FIG. 10b is a plan view of the layer of spheres designated by plane 8 in the regular octahedron of FIG. 7.
  • FIG. is a plan view of the layer of spheres designated by plane 9 of the regular octahedron of FIG. 7.
  • FIG. 10d is a plan view of the spheres making up the layer designated by plane 10 of the regular octahedron of FIG. 7.
  • FIG. l0e is a plan view of the layer of spheres making up a portion of the regular octahedron seen in FIG. 7 as designated by plane 11.
  • FIG. 10f is a plan view of the spheres making up a layer of the regular octahedron of FIG. 7 as designated by plane 12.
  • FIG. 10g is a plan view of the single sphere defining the lower apex of the regular octahedron of FIG. 7.
  • a regular quadrangular pyramid in which three single spheres of the same diameters are arranged in a row on an edge line is to be built up by using single spheres of the same diameter, a total of 14 spheres arranged like 1 2 3 are required.
  • These 14 single spheres can be divided into one connected unit composed of two single spheres connected to each other by a connecting axis and four kinds of connected units each composed of three single spheres connected to each other by connecting axes with any of the two adjoining connecting axes forming an angle of either 60, 90, 120 or 180.
  • FIG. 2 is a plan view of five kinds of connected units composed of two or three single spheres 1 shown in FIG. 1 connected to each other by connecting axes extending through the center 2 of the sphere 1, the connecting axes 3 being on the same plane and any of the two adjoining connecting axes forming an angle of either 60, 90, 120 or 180.
  • These connected units are designated I, .l', L, P, and I" respectively.
  • L is a member of n X 90 group and J
  • P are members of n X60 group.
  • l is a member of the n X 90 group and a member of the n X 60 group also.
  • FIGS. 4 and 5 that is, I is set at the apex a of the regular quadrangular pyramid FIG. 3
  • FIGS. 5a, 5b and 50 respectively show the arrangement of single spheres which appear corresponding to planes 4, 5 and 6 that are perpendicular to the center line cd of the regular quadrangular pyramid (FIG. 3) and are same in number as the number of the spheres 1 disposed on the edge line ab.
  • FIG. 6 is a plan view of l 1 connected units each composed of four single spheres l of the same diameter connected to each other by connecting axes 3 extending through the centers 2 of the spheres 1 with all of the connecting axes being on the same plane and any of the two adjoining axes forming an angle of either 60, or and those connecting axes can be defined as either an n X 60 group or an n X 90 group or both, in which n is an integer.
  • These units are designated I, L, T, N, O, J, P, S, C, Y and Z respectively.
  • L, T, N and O are members of n X 90 group
  • J, P, S, C, Y and Z are members of n X 60 group.
  • I is a member of the n X 90 group and a member of the n X 60 group also.
  • the regular octahedron shown in FIG. 7 is built up.
  • the arrangement of single spheres is shown by FIGS. 8 and 9, that is, I and P are set respectively on the apexes e and f of the regular octahedron wherein FIG. 7 shows one solution.
  • the regular octahedron is seen from the apex e, and in FIG. 9, it is seen from the apex f.
  • 10f, and 10g respectively show the arrangement of single spheres appearing corresponding to planes 7, 8, 9, l0, 1 l, 12 and 13 which are perpendicular to the center line hi of the regular octahedron (FIG. 7) and are same in number as the number of the spheres l disposed on the edge line egf.
  • the single spheres in the solid puzzle of this invention may be fixedly connected to each other, or removably connected.
  • the single spheres used in this invention must be of the same diameter, the size and weight of each sphere are not restricted.
  • the spheres may be made of any material, such as metal, plastics, rubber, wood or stone, which can retain the spherical form. They may either be colored or not colored,'and the surface of the spheres may either be roughened or smooth. In other respects, too, the surface condition of the spheres are not limited.
  • FIG. 2 A solid puzzle consisting of the five connected units of spheres as illustrated in FIG. 2, assemblable into the structure illustrated in FIG. 4.
  • a solid puzzle consisting of the eleven connected units of spheres as illustrated in FIG. 6, assemblable into the structure illustrated in FIGS. 8 and 9.

Landscapes

  • Engineering & Computer Science (AREA)
  • Multimedia (AREA)
  • Instructional Devices (AREA)
  • Toys (AREA)
US00356227A 1972-05-13 1973-05-01 Solid puzzle Expired - Lifetime US3837652A (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP47046886A JPS5024662B2 (enExample) 1972-05-13 1972-05-13

Publications (1)

Publication Number Publication Date
US3837652A true US3837652A (en) 1974-09-24

Family

ID=12759830

Family Applications (1)

Application Number Title Priority Date Filing Date
US00356227A Expired - Lifetime US3837652A (en) 1972-05-13 1973-05-01 Solid puzzle

Country Status (2)

Country Link
US (1) US3837652A (enExample)
JP (1) JPS5024662B2 (enExample)

Cited By (17)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3945645A (en) * 1974-09-23 1976-03-23 Roberts Patrick A Tangential spheres geometric puzzle
US4060247A (en) * 1976-06-28 1977-11-29 Kobres Jr Robert E Geometric puzzle
US4325552A (en) * 1980-03-31 1982-04-20 Glasheen Michael O Manipulative toy
US4650424A (en) * 1982-09-30 1987-03-17 Mitchell Maurice E Educational device and method
US4988103A (en) * 1989-10-02 1991-01-29 Cheng Ming S Geometric puzzle of spheres
US6637745B1 (en) * 2002-01-22 2003-10-28 Gevorg Vardanyan Pyramid puzzle system
US6702285B2 (en) * 2002-03-29 2004-03-09 Ming-Hsien Cheng Intellectual building blocks with cooperated game devices
USD489285S1 (en) 2003-05-21 2004-05-04 Thomas Edward Zinn Geometric ornament
USD500534S1 (en) 2003-02-05 2005-01-04 Thompson Raymond B Combined football stacking puzzle and pieces
USD500533S1 (en) 2003-02-05 2005-01-04 Thompson Raymond B Combined basketball stacking puzzle and pieces
USD500535S1 (en) 2003-02-05 2005-01-04 Thompson Raymond B Combined baseball stacking puzzle and pieces
USD500816S1 (en) 2003-02-05 2005-01-11 Raymond B. Thompson Combined tennis stacking puzzle and pieces
USD501034S1 (en) * 2003-12-03 2005-01-18 Prosoft Software, Inc. Puzzle
USD524381S1 (en) 2003-02-05 2006-07-04 Use Your Head Unlimited, Inc. Combined golf stacking puzzle and pieces
US20070187890A1 (en) * 2006-02-13 2007-08-16 Lonpos Braintelligent Co., Ltd. Assembled spherical building block
US20080108274A1 (en) * 2006-02-13 2008-05-08 Lonpos Braintelligent Co.,, Ltd. Assembled spherical building blocks
US20190314717A1 (en) * 2018-04-16 2019-10-17 Hong-Chang Wang Puzzle set

Families Citing this family (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPS52132692U (enExample) * 1976-04-02 1977-10-08
UA109600C2 (uk) 2011-11-08 2015-09-10 Упаковка для тютюнових виробів з ковзним відкриванням і відкидною кришкою

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2151030A (en) * 1938-04-28 1939-03-21 Ralph C Hinsen Game and playing piece therefor
US2836421A (en) * 1954-12-20 1958-05-27 William D Turner Multiple puzzle devices
US2942356A (en) * 1957-06-12 1960-06-28 Gilbert Co A C Structural molecular models
US3091870A (en) * 1959-08-10 1963-06-04 Harold L Sangster Magnetic-cohesion models of scientific and mathematical structures

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US2151030A (en) * 1938-04-28 1939-03-21 Ralph C Hinsen Game and playing piece therefor
US2836421A (en) * 1954-12-20 1958-05-27 William D Turner Multiple puzzle devices
US2942356A (en) * 1957-06-12 1960-06-28 Gilbert Co A C Structural molecular models
US3091870A (en) * 1959-08-10 1963-06-04 Harold L Sangster Magnetic-cohesion models of scientific and mathematical structures

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
Martin Gardner s New Mathematical Diversions from Scientific American, publ. by Simon & Schuster, New York, 1966, pages 82 90. *

Cited By (17)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3945645A (en) * 1974-09-23 1976-03-23 Roberts Patrick A Tangential spheres geometric puzzle
US4060247A (en) * 1976-06-28 1977-11-29 Kobres Jr Robert E Geometric puzzle
US4325552A (en) * 1980-03-31 1982-04-20 Glasheen Michael O Manipulative toy
US4650424A (en) * 1982-09-30 1987-03-17 Mitchell Maurice E Educational device and method
US4988103A (en) * 1989-10-02 1991-01-29 Cheng Ming S Geometric puzzle of spheres
US6637745B1 (en) * 2002-01-22 2003-10-28 Gevorg Vardanyan Pyramid puzzle system
US6702285B2 (en) * 2002-03-29 2004-03-09 Ming-Hsien Cheng Intellectual building blocks with cooperated game devices
USD500534S1 (en) 2003-02-05 2005-01-04 Thompson Raymond B Combined football stacking puzzle and pieces
USD500533S1 (en) 2003-02-05 2005-01-04 Thompson Raymond B Combined basketball stacking puzzle and pieces
USD500535S1 (en) 2003-02-05 2005-01-04 Thompson Raymond B Combined baseball stacking puzzle and pieces
USD500816S1 (en) 2003-02-05 2005-01-11 Raymond B. Thompson Combined tennis stacking puzzle and pieces
USD524381S1 (en) 2003-02-05 2006-07-04 Use Your Head Unlimited, Inc. Combined golf stacking puzzle and pieces
USD489285S1 (en) 2003-05-21 2004-05-04 Thomas Edward Zinn Geometric ornament
USD501034S1 (en) * 2003-12-03 2005-01-18 Prosoft Software, Inc. Puzzle
US20070187890A1 (en) * 2006-02-13 2007-08-16 Lonpos Braintelligent Co., Ltd. Assembled spherical building block
US20080108274A1 (en) * 2006-02-13 2008-05-08 Lonpos Braintelligent Co.,, Ltd. Assembled spherical building blocks
US20190314717A1 (en) * 2018-04-16 2019-10-17 Hong-Chang Wang Puzzle set

Also Published As

Publication number Publication date
JPS498341A (enExample) 1974-01-24
JPS5024662B2 (enExample) 1975-08-18

Similar Documents

Publication Publication Date Title
US3837652A (en) Solid puzzle
US4451038A (en) Transparent sphere with moveable dividers and pieces
US4960282A (en) Golf balls
US3608906A (en) Multisided value-coded puzzle pieces and supports therefor
US3608902A (en) Cube game
US4526372A (en) Puzzle toy
US4036503A (en) Puzzle game
KR850007213A (ko) 골 프 공
US4030762A (en) Board game with diagonal paths
US3863926A (en) Game apparatus
US2526123A (en) Dice game device
US3481603A (en) Game piece with visually distinguishable playing symbols
KR900007454A (ko) 골프공
US3712622A (en) Game with polyhedral playing pieces
HU180681B (en) Logic toy
US4506891A (en) Geometric device
US4385763A (en) Pattern forming ball game
US4060247A (en) Geometric puzzle
US9744473B2 (en) Densely stackable building block system
US4487417A (en) Puzzle amusement device
US4773649A (en) Pieces assembable to form regular hexagons and other figures
US4483535A (en) Triangle combination game
US3827694A (en) Game apparatus
US5002282A (en) Method of having a concept integration board game
US4371170A (en) Alignment game with cross shaped playing field