US 20100264584 A1
Toy block cube filling puzzle using transparent cube containers and using 8 tetrahedron blocks as a first group and 32 one eighth of octahedron blocks as a second group. When the blocks from the first group are assembled with one vertex of each block meeting at the center of the cube the second group can be used to completely fill the cube without voids. When 8 blocks from the second group each share a vertex at the said center the remaining 32 blocks can completely fill the cube again. When using a cube filled with one block from the first group and four from the second and each having different colors and paired up with a mirrored adjacent copy of this assembly, 2 blocks are given color change to give 7 colors. Additional pairs can be arranged to form infinite sized shapes in perfect order in three dimension and color.
1. A cube filling puzzle comprising a cube transparent container and 2 groups of geometric parts having planer surfaces with a first group being 8 parts of equal size and shape with each having 4 equal size faces, with a second group being 32 parts of equal size and shape with one face being equal to the face of a part in the first group, the total 40 parts from both groups being able to completely fill the cube container without voids other than sliding fit tolerances by using 2 different assembly arrangements, first by using 8 parts from the first group and having one vertex from each of the said parts meet together at the center of the cube container and second by using 8 parts from the second group being abutted together each having a vertex meeting at the center of the cube container with the remaining 32 parts being able to completely fill the said cube container in both arrangements.
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3. A cube filling puzzle comprising a pair of equal size cube transparent containers each filled without voids with geometric parts having planer surfaces with one part of a first shape having four equal size faces and four second shape parts all being equal in size and shape with each having one face being equal to the face of the first shape part, wherein two cubes are paired together each having one face abutted to each other, wherein the first cube containing one part of the said second shape using a first color and the second cube containing a mirrored copy of the said part using a second color and forming a quarter section of a regular octahedron, wherein one part of the said first shape is abutted with a matching face of the said one part in the first cube using a third color and a mirrored copy of the said part of the first shape added to the second cube using a fourth color, wherein the three remaining parts of the said second shape are given a fifth, sixth and seventh color to completely fill the first cube without voids and a mirrored copy of said three parts added to the second cube to produce a filled pair of cubes with seven colors, wherein three copies of the cube pair are rotated about the centre point of the said octahedron at 180 degrees in the three polar axes to form a larger cube containing the four of the said cube pairs, wherein the said larger cube made up of 8 cubes being completely filled with a total of 40 parts showing three different colored axes.
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Similar inventions have been made in the past U.S. Pat. No. 4,461,480 shows the octahedron made of one eighth sections and describes a configuration using 8 cubes stacked together to form a larger cube assembly of pieces. It also describes some of the pieces being coupled together. U.S. Pat. No. 1,471,943 shows a thin wall cube and a removable top to be made of any material for containing a toy block assembly. U.S. Pat. No. 5,660,387 shows blocks inside a transparent housing such as a cube but do not show a 40 block assembly as described in the following invention.
The invention relates to a simplified toy block cube filling puzzle containing a total of 40 blocks (also called geometric parts or pieces) with 32 blocks equal in size and shape which are to be called OCTA pieces and 8 blocks equal in size and shape to be called TETRA pieces. The blocks called OCTA pieces are each a one eighth portion of regular octahedron, this polyhedron shape is sized to easily slide into a thin wall transparent cube container with each of the 6 vertices meeting perfectly at the centre of each of the inside surfaces of the said cube container with the top surface removed for an opening. By slicing through 4 vertices of said octahedron in each of the X, Y and Z axis the 8 OCTA pieces are produced that are perfectly equal in size and shape and this combination of pieces have a sliding fit to the inside surface of the cube. By starting with an octahedron assembly inside the cube we are now able to size a block to form a tetrahedron this is done by forming a tetrahedron with each of its 4 faces equal in size to the triangular face of the octahedron which gives us the TETRA piece. It is now possible to form a regular tetrahedron to fit perfectly with a sliding fit to the inside of the cube by adding 4 TETRA pieces to the 2 opposite faces of the lower half of the octahedron and its 2 opposite faces of the upper half rotated 90 degrees. There are 4 faces of the octahedron unused these are to be a different color to the 4 faces already used so as to be easier for children to follow the easy steps. Now a dual-tetrahedron can be formed by adding 4 more TETRA pieces with a different color to the 4 unused faces of the octahedron and a perfect 8 pointed star can be formed with each of the 8 points aligning perfectly to the 8 vertices of the inside surface of the cube container and having a sliding fit. There are now 4 spaces around each of the X, Y and Z axis between the 8 pointed star and the inside surface of the cube, these spaces may be accommodated by 24 more OCTA pieces using 8 OCTA pieces for each axis and be of 3 different colors to show balance and beauty. We shall call this 40 piece cube arrangement as a PLATO cube arrangement as it reveals the octahedron and 2 tetrahedrons which are platonic solids.
By removing all of the 40 blocks from the central octahedron configuration the 8 corners of the cube may be accommodated by the 8 OCTA pieces that were used for the octahedron. The 8 TETRA pieces can be added to the faces of the 8 corner OCTA pieces to make each vertex of each TETRA piece meet perfectly at the center of the cube container. This assembly will expose 6 four sided pyramid cavities on each face of the inside surface of the cube container and by adding the remaining 24 OCTA pieces 8 of the pieces in each of the X, Y and Z axis once more a complete fill of the cube can be achieved. By using separate color OCTA pieces for each axis the filled cube will show beauty and balance. If the 8 corner OCTA pieces are removed we will be left with a perfect cuboctahedron. We shall call this 40 piece cube arrangement as the BUCKY cube arrangement as Mr. Buckminster Fuller described the Cuboctahedron inside a cube with a Vector Equilibrium centre.
The color arrangement is kept simple to make it easy for children to follow the instructions. The octahedron (8 OCTA pieces) should be balanced with 4 pieces of one color and 4 pieces of a second color, two tetrahedron assemblies (8 TETRA pieces) with a separate color also, the remaining 24 blocks (OCTA pieces) to be 8 blocks of one color, 8 of another color and the remaining 8 of the last color, using a total of 7 colors all told. Support means are provided to accommodate 2 transparent cube containers with a lip provided to locate into a groove provided on 2 opposite sides of each cube container an accommodation is provided to house a DVD containing instructions. The instructions are kept very simple to follow. The cube assembly is displayed centrally and the 32 OCTA pieces are displayed to be used or unused at different steps at one side and the 8 TETRA pieces are displayed the same on the opposite side.
An alternate assembly to achieve the same results is revealed by splitting the 40 piece cube arrangements into 8 smaller cubes each of these cubes contain one TETRA piece and four OCTA pieces. This 5 piece cube is old art but it will not achieve the said 40 piece BUCKY cube arrangement and 40 piece PLATO cube arrangement unless a mirrored copy of said 5 piece cube is provided so as to make a pair. Each cube assembly of this said pair be distinguished by color and one cube is provided with 4 OCTA pieces and the TETRA piece with different colors, the second cube to form the pair having one OCTA piece with a different color and the TETRA piece of a different color, this will give each pair 7 different colors. We will call the cubes that make up a pair of 5 piece cubes as a CHICO cube and a CHICA cube as if they were a male assembly and a female assembly. It is essential that the two cubes of the pair be distinguished by color for assembly because when a 40 piece cube assembly is made out of 4 of these pairs the only indication of knowing a CHICO cube from a CHICA cube is the difference in color making up one corner being that of an OCTA piece, the TETRA pieces are hidden. When CHICO and CHICA cubes are assembled to make a 40 piece cube assembly the CHICO cube is always adjacent to a CHICA cube in any axis. It is very simple to assembly cubes together because of the one corner being distinguishable by color and it is possible with the correct assembly of CHICO to CHICA cubes to repeat to infinity and form a perfect 3 dimensional array without voids 3 separate octahedrons each made of a different color with a fourth octahedron split into 2 colors being central to 2 tetrahedrons of different color making dual tetrahedrons.
There is another advantage of this CHICO and CHICO arrangements in that cutting planes can be made in the X, Y, and Z axis and also cutting planes can be provided using the orientation of the 4 faces of the TETRA pieces. By splitting the assemblies of pieces along the faces of the TETRA pieces many very interesting shapes can be formed and some semi-regular polyhedrons also. A dual tetrahedron can be made to an infinite size when 8 forty piece cube assemblies are added to form a larger cube as long as the color arrangements are kept in the correct orientation, each tetrahedron will increase in size yet will still keep to the same color arrangement.
If it is desired to have a cutting plane diagonally from two opposite faces as may be needed for forming the faces of some semi-regular polyhedral shapes. The OCTA pieces and TETRA can be split into 2 perfectly matching halves and these pieces may be re-oriented to any diagonal face between any two opposite faces of the CHICO or CHICA cube. These smaller pieces could be used instead of the 5 pieces of the CHICO or CHICA cube assemblies but would make a more complicated puzzle, therefore just a few of these pieces may be added to a kit if desired.
The transparent thin wall cubes are also shown with interconnecting means to prevent an assembly of cubes from falling apart.
The thin wall cube container can be any size and the blocks may be made any size using wood with color or by using plastic or made magnetic. The cube container can also be located full of blocks on a support means that runs on wheels for small children to play with.