Three-dimensional logical cube

Abstract

A three-dimensional logical cube has 6 faces in the same configuration of Rubik's Cube (trademark). A three-dimensional logical cube has an N×N array of cells on each face. Each cell on a three-dimensional logical cube has a numerical value, solid and hollow dots, solid dots, or shapes, on it. A 2×2×2 cube has four numbers from 1 to 4 on its face; a 2×2×2 cube has two solid dots and two hollow dots with the same color on its face (2×2×2 alternate embodiment); a 2×2×2 cube has 1 dot to 4 dots on its cell (2×2×2 alternate embodiment); a 2×2×2 cube have same kind of shape on its face (2×2×2 alternate embodiment); a 3×3×3 cube has nine combination numbers between 1 to 12 on its face; a 3×3×3 cube has nine numbers from 1 to 9 on its face (3×3×3 alternate embodiment); a 3×3×3 cube has either a blank cell or a dot on its face (3×3×3 alternate embodiment); a 3×3×3 cube have same kind of shape on its face (3×3×3 alternate embodiment); a 4×4×4 cube has sixteen numbers from 1 to 16 on its face; and a 5×5×5 cube has twenty-five numbers from 1 to 25 on its face; The present three-dimensional logical cube when successfully solved, for numerical cell cubes, all six faces, and nine rows (six rows for 3×3×3 cubes) of adjacent cells located on four adjacent faces (two adjacent faces for 2×2×2 cube and three adjacent faces for 3×3×3 alternate embodiment) will have difference numerical numbers on its cell (no two numbers are alike); for shape cube, all six faces will have same shape for each cell on the same face; for solid and hollow dot cube, any faces will have the two solid dots and two hollow dots on its for all six faces; for solid only dot cube (3×3×3), any two opposite faces will have total of seven dots for all six faces; and solid only dot (2×2×2), each cell on the same face has 1 dot, 2 dots, 3 dots and 4 dots for all six faces, and four adjacent cells located around two faces will have 1 dot, 2 dots, 3 dots and 4 dots on its cell. The present three-dimensional logical cube is more challenging than the Rubik's Cube (trademark) with 2×2×2 the simplest logical cube to 3×3×3 challenge, 4×4×4 more challenge, and 5×5×5 which is the most challenge logical cube to solve.

1 . A three-dimensional logical 2×2×2 cube  1 ,  FIGS. 1 ,  2  and  3 , comprising: 8 visible cubic elements centrally connected to a central element, wherein the 8 each visible cubic elements comprise 8 corner cubic elements having three exposed square cells; each face has a 2×2 array with 2 rows and 2 columns of cells for a total of four square cells; twenty-four rotatable square cells for the logic cube; each vertex has three combination numbers between 1 to 4 (no two numbers are alike) for all eight vertices; each cell on the same face has a numerical value from 1 to 4 (no two numbers are alike). 
   
   
       2 . A three-dimensional logical cube of  claim 1 , wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4 (no two numbers are alike) for all six faces. Refer to  FIGS. 1 ,  2  and  3 . 
   
   
       3 . A three-dimensional logical cube of  claim 1 , wherein when successfully solved, four adjacent cells located on the adjacent faces will have number 1, 2, 3, 4 (no two numbers are alike). Refer to TABLE III and TABLE IV. 
   
   
       4 . A three-dimensional logical cube of  claim 1 , wherein the embodiment of 2×2×2 logic cube  1  is not mean to be limiting. There are many more possible numerical value arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of  claim 1 . 
   
   
       5 . A three-dimensional logical 3×3×3 cube  21 ,  FIGS. 4 ,  5  and  6 , comprising: 26 visible cubic elements centrally connected to a central element, wherein the 26 visible cubic elements comprise 8 corner cubic elements with three exposed square cells, 12 mid cubic elements with two exposed square cells, and 6 center face cubic elements with one exposed square cell; each face has a 3×3 array with 3 rows and 3 columns of cells for a total of nine square cells; fifty-four rotatable square cells for the logic cube; each vertex has three combination numbers between 1 to 12 (no two numbers are alike) for all eight vertices; each cell on the same face has nine combination numbers between 1 to 12 (no two numbers are alike). 
   
   
       6 . A three-dimensional logical cube of  claim 5 , wherein each vertex will have three combination numbers between 1 to 9 (no two numbers are alike) for all eight vertices; each cell on the same face has a numerical value from 1 to 9 (no two numbers are alike); an alternate embodiment, logical 3×3×3 cube  41 ,  FIGS. 7 ,  8  and  9 , to the logical cube of  claim 5 . 
   
   
       7 . A three-dimensional logical cube of  claim 5 , wherein when successfully solved, the numerical value on each face cube will have nine combination numbers between 1 to 12 (no two numbers are alike) for all six faces. Refer to  FIGS. 4 ,  5  and  6 . 
   
   
       8 . A three-dimensional logical cube of  claim 5 , wherein when successfully solved, twelve adjacent cells located on the adjacent four faces (rows  31 A,  31 B,  31 C,  31 D); (rows  32 A,  32 B,  32 C,  32 D); (rows  33 A,  33 B,  33 C,  33 D); (rows  34 A,  34 B,  34 C,  34 D); (rows  35 A,  35 B,  35 C,  35 D); (rows  36 A,  36 B,  36 C,  36 D); on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 (no two numbers are alike) for six of nine rows. Refer to TABLE VII. 
   
   
       9 . A three-dimensional logical cube of  claim 6 , wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9 (no two numbers are alike) for all six faces. Refer to  FIGS. 7 ,  8  and  9 . 
   
   
       10 . A three-dimensional logical cube of  claim 6 , wherein when successfully solved, nine adjacent cells located on the adjacent three faces (rows  51 A,  51 B,  51 C); (rows  52 A,  52 B,  52 C); (rows  53 A,  53 B,  53 C); (rows  54 A,  54 B,  54 C); (rows  55 A,  55 B,  55 C); (rows  56 A,  56 B,  56 C) on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9 (no two numbers are alike) for six of nine rows. Refer to TABLE X. 
   
   
       11 . A three-dimensional logical cube of  claim 5  and  claim 6 , wherein the embodiment of 3×3×3 logic cube  21  and  41  are not mean to be limiting. There are many more possible numerical value arrangements for the logical cube will satisfy the claims in the preferred embodiment of the present invention, an alternate embodiment to logical cube of  claim 5  and  claim 6 . 
   
   
       12 . A three-dimensional logical 4×4×4 cube  61 ,  FIGS. 10 ,  11  and  12 , comprising: 56 visible cubic elements centrally connected to a central element, wherein the 56 visible cubic elements comprise 8 corner cubic elements with three exposed square cells, 24 mid cubic elements with two exposed square cells, and 24 center face cubic elements with one exposed square cell; each face has a 4×4 array with 4 rows and 4 columns of cells for a total of sixteen square cells; ninety-six rotatable square cells for the logic cube; each vertex will have three combination numbers between 1 to 16 (no two numbers are alike) for all eight vertices; each cell on the same face has a numerical value from 1 to 16 (no two numbers are alike). 
   
   
       13 . A three-dimensional logical cube of  claim 12 , wherein each cell on the same face has different numerical pattern value from 1 to 16 (no two numbers are alike); an alternate embodiment, logical 4×4×4 cube  91 ,  FIGS. 13 ,  14  and  15 , to the logical cube of  claim 12 . 
   
   
       14 . A three-dimensional logical cube of  claim 12 , wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all six faces. Refer to  FIGS. 10 ,  11  and  12 . 
   
   
       15 . A three-dimensional logical cube of  claim 12 , wherein when successfully solved, sixteen adjacent cells located on the adjacent four faces on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all twelve rows. Refer to TABLE XIII. 
   
   
       16 . A three-dimensional logical cube of  claim 13 , wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all six faces. Refer to  FIGS. 13 ,  14  and  15 . 
   
   
       17 . A three-dimensional logical cube of  claim 13 , wherein when successfully solved, sixteen adjacent cells located on the adjacent four faces on the same row around the cube will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 (no two numbers are alike) for all twelve rows. Refer to TABLE XVI. 
   
   
       18 . A three-dimensional logical cube of  claim 12  and  claim 13 , wherein the embodiment of 4×4×4 logic cube  61  and  91  are not mean to be limiting. There are many more possible numerical value arrangements for the logical cube will satisfy the claims in the preferred embodiment of the present invention, an alternate embodiment to logical cube of  claim 12  and  claim 13 . 
   
   
       19 . A three-dimensional logical 5×5×5 cube  121 ,  FIGS. 16 ,  17  and  18 , comprising: 98 visible cubic elements centrally connected to a central element, wherein the 98 visible cubic elements comprise 8 corner cubic elements with three exposed square cells, 36 mid cubic elements with two exposed square cells, and 54 center face cubic elements with one exposed square cell; each face has a 5×5 array with 5 rows and 5 columns of cells for a total of twenty-five square cells; one-hundred fifty rotatable square cells for the logic cube; each vertex will have three combination numbers between 1 to 25 (no two numbers are alike) for all eight vertices; each cell on the same face has a numerical value from 1 to 25 (no two numbers are alike). 
   
   
       20 . A three-dimensional logical cube of  claim 19 , wherein each cell on the same face has different numerical pattern value from 1 to 25 (no two numbers are alike); an alternate embodiment, logical 5×5×5 cube  151 ,  FIGS. 19 ,  20  and  21 , to the logical cube of  claim 19 . 
   
   
       21 . A three-dimensional logical cube of  claim 19 , wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 (no two numbers are alike) for all six faces. Refer to  FIGS. 16 ,  17  and  18 . 
   
   
       22 . A three-dimensional logical cube of  claim 19 , wherein when successfully solved, twenty adjacent cells located on the adjacent four faces on the same row around the cube will have twenty combination numbers between 1 to 25 (no two numbers are alike) for twelve of fifteen rows. Refer to TABLE XIX. 
   
   
       23 . A three-dimensional logical cube of  claim 20 , wherein when successfully solved, the numerical value on each face will have number 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 (no two numbers are alike) for all six faces. Refer to  FIGS. 19 ,  20  and  21 . 
   
   
       24 . A three-dimensional logical cube of  claim 20 , wherein when successfully solved, twenty adjacent cells located on the adjacent four faces on the same row around the cube will have twenty combination numbers between 1 to 25 (no two numbers are alike) for twelve of fifteen rows. Refer to TABLE XXII. 
   
   
       25 . A three-dimensional logical cube of  claim 19  and  claim 20 , wherein the embodiment of 5×5×5 logic cube  121  and  151  are not mean to be limiting. There are many more possible numerical value arrangements for the logical cube will satisfy the claims in the preferred embodiment of the present invention, an alternate embodiment to logical cube of  claim 19  and  claim 20 . 
   
   
       26 . A three-dimensional logical cube of  claim 1 ,  claim 5 ,  claim 6 ,  claim 12 ,  claim 13 ,  claim 19  and  claim 20 , wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have same color background. 
   
   
       27 . A three-dimensional logical cube of  claim 26 , wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have two colors background—one color for a group of three faces and another color for other group of three faces, an alternate embodiment to logical cube of  claim 26 . 
   
   
       28 . A three-dimensional logical cube of  claim 26 , wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have three colors background—one color for a group of two faces located adjacent or opposite, second color for other group of two faces located adjacent or opposite, and third color for other group of remaining two faces located adjacent or opposite, an alternate embodiment to the logical cube of  claim 26 . 
   
   
       29 . A three-dimensional logical cube of  claim 26 , wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have four colors background—one color for a group of three faces, second, third, and fourth colors for other three faces; one color for a group of two faces, second color for a second group of two faces, third, and fourth colors for other two faces, an alternate embodiment to the logical cube of  claim 26 . 
   
   
       30 . A three-dimensional logical cube of  claim 26 , wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have five colors background—one color for a group of two faces located adjacent or opposite, second, third, fourth, and fifth colors for other four faces, an alternate embodiment to the logical cube of  claim 26 . 
   
   
       31 . A three-dimensional logical cube of  claim 26 , wherein each face has the same color background for all cells which have a difference number on each cell; six faces on a cube have six colors background, an alternate embodiment to the logical cube of  claim 26 . 
   
   
       32 . A three-dimensional logical cube of  claim 26 , wherein each cell on all faces has combination of any colors background and has a difference number on each cell; an alternate embodiment to the logical cube of  claim 26 . 
   
   
       33 . A three-dimensional logical cube of  claim 1 ,  claim 5 ,  claim 6 ,  claim 12 ,  claim 13 ,  claim 19  and  claim 20 , wherein a numerical value on each cell on the cube is of any combination of different fonts type such as Times New Roman, Ariel or any other fonts; a numerical value on each cell is Roman numerals, Chinese numerals, Japanese numerals, Korean numerals, German numerals, French numerals, Latin numerals, or any other foreign numerals system. 
   
   
       34 . A three-dimensional logical cube of  claim 1 , wherein each vertex has three combination alphabets (no two alphabets are alike) for all eight vertices; each cell on the same face has a different alphabet on its cell (no two alphabets are alike), an alternate embodiment, logical 2×2×2 cube  181 ,  FIGS. 22 ,  23  and  24 , to the logical cube of  claim 1 . 
   
   
       35 . A three-dimensional logical cube of  claim 34 , wherein when successfully solved, all cells on the face will have different alphabets (no two alphabets are alike) and four adjacent cells located on the adjacent faces will have different alphabets (no two alphabets are alike). Similar solution as TABLE III and TABLE IV. 
   
   
       36 . A three-dimensional logical cube of  claim 34 , wherein the embodiment of 2×2×2 logic cube  181  is not mean to be limiting. There are many more possible alphabet arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of  claim 34 . 
   
   
       37 . A three-dimensional logical cube of  claim 5 , wherein each vertex has three combination alphabets (no two alphabets are alike) for all eight vertices; each cell on the same face has an alphabet on its cell (no two alphabets are alike), an alternate embodiment, logical 3×3×3 cube  191 ,  FIGS. 25 ,  26  and  27 , to the logical cube of  claim 5 . 
   
   
       38 . A three-dimensional logical cube of  claim 37 , wherein when successfully solved, all cells on the face will have different alphabets (no two alphabets are alike) and twelve adjacent cells located on the adjacent four faces on the same row around the cube will have different alphabets (no two alphabets are alike) for six of nine rows. Similar solution as TABLE VII. 
   
   
       39 . A three-dimensional logical cube of  claim 37 , wherein the embodiment of 3×3×3 logic cube  191  is not mean to be limiting. There are many more possible alphabet arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of  claim 37 . 
   
   
       40 . A three-dimensional logical cube of  claim 12 , wherein each vertex has three combination alphabets (no two alphabets are alike) for all eight vertices; each cell on the same face has a different alphabet on its cell (no two alphabets are alike), an alternate embodiment, logical 4×4×4 cube  201 ,  FIGS. 28 ,  29  and  30 , to the logical cube of  claim 12 . 
   
   
       41 . A three-dimensional logical cube of  claim 40 , wherein when successfully solved, all cells on the face will have different alphabets (no two alphabets are alike) and sixteen adjacent cells located on the adjacent four faces on the same row around the cube will have different alphabets (no two alphabets are alike). Similar solution as TABLE XIII. 
   
   
       42 . A three-dimensional logical cube of  claim 40 , wherein the embodiment of 4×4×4 logic cube  201  is not mean to be limiting. There are many more possible alphabet arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of  claim 40 . 
   
   
       43 . A three-dimensional logical cube of  claim 19 , wherein each vertex has three combination alphabets (no two alphabets are alike) for all eight vertices; each cell on the same face has a different alphabet on its cell (no two alphabets are alike), an alternate embodiment, logical 5×5×5 cube  211 ,  FIGS. 31 ,  32  and  33 , to the logical cube of  claim 19 . 
   
   
       44 . A three-dimensional logical cube of  claim 43 , wherein when successfully solved, all cells on the face will have different alphabets (no two alphabets are alike) and twenty adjacent cells located on the adjacent four faces on the same row around the cube will have different alphabets (no two alphabets are alike). Similar solution as TABLE XIX. 
   
   
       45 . A three-dimensional logical cube of  claim 43 , wherein the embodiment of 5×5×5 logic cube  211  is not mean to be limiting. There are many more possible alphabet arrangements for the logical cube will satisfy the claim in the preferred embodiment of the present invention, an alternate embodiment to logical cube of  claim 43 . 
   
   
       46 . A three-dimensional logical cube of  claim 1 ,  claim 5 ,  claim 12  and  claim 19 , wherein cells on the same face have alphabets on its and comprise either a word, a phrase, or a crossword puzzle, an alternate embodiment, logical 2×2×2 cube  220 , 3×3×3 cube  230 , 4×4×4 cube  240 ,  FIGS. 34 ,  35  and  36 , to the logical cube of  claim 1   claim 5 ,  claim 12  and  claim 19 . 
   
   
       47 . A three-dimensional logical cube of  claim 46 , wherein when successfully solved, all cells on the face will comprise either a completed word, a completed phrase, or a completed crossword puzzle. Refer to FIG.  FIGS. 34 ,  35  and  36 . 
   
   
       48 . A three-dimensional logical cube of  claim 34 ,  claim 37 ,  claim 40 ,  claim 43  and  claim 46 , wherein an alphabet on each cell is Roman alphabet, Chinese alphabet, Japanese alphabet, Korean alphabet, German alphabet, French alphabet, Latin alphabet, or any other foreign alphabet. 
   
   
       49 . A three-dimensional logical cube of the preferred present invention can be of higher N×N×N order such as 6×6×6, or 7×7×7 having rotatable elements and numerial value or alphabet on each cell which will satisfy the claim in the preferred embodiment of the present invention.