[ 0021 ] fig1 through 6 depict the geometric form that each of the twenty - five pieces presents . each of the pieces is different in form from all the other pieces . the twenty - five pieces , one through twenty - five , are designated “ p 1 ” through “ p 25 ”. the figures are done in a side perspective view to best illustrate the form of each piece . the orientation of the pieces does not necessarily correspond to how they are positioned when the puzzle is assembled . referring to fig7 through 10 , each piece is formed from five imaginary blocks . the piece number corresponds to the piece number that was indicated in fig1 - 6 . the five imaginary blocks are designated by the letters a , b , c , d , and e . each imaginary block is also designated with a number 1 through 5 that indicates the layer level that the imaginary block will be positioned on during assembly . each piece may have its five imaginary blocks on one or more levels . in contrast , some pieces like piece “ p 12 ” can have all of their imaginary blocks on the same level . the numbers 1 through 5 designation for levels and the letters a , b , c , d , and e for imaginary blocks are used on each of the twenty - five pieces , so this number - letter combination will be similar and repeated on each of the twenty - five pieces . the numbers 1 through 5 that indicate the levels of placement of the “ imaginary blocks ” are different than the numbers ‘ p 1 ’ through ‘ p 25 ’ that designate the “ piece numbers ”. as an example , piece ‘ p 4 ’, shown in fig7 has three imaginary blocks designated as ‘ 1 a ’, ‘ 1 b ’ and ‘ 1 c ’ which indicates these three blocks are on level 1 . piece ‘ p 4 ’ has the other two blocks designated as ‘ 2 d ’ and ‘ 2 e ’, which indicates they are on level 2 . the top plan view orientation shows block ‘ 2 d ’ on top of ‘ 1 b ′’, so from a top view they appear to occupy the same area . referring to fig1 and 11 a , each block has a top side - “ t ”, an under side -“ u ”, a front side -“ f ”, a back side -“ b , a left side -“ l ” and a right side “ r ”. an imaginary block forms a unit block that is a cube with the side , the width , and the height each having one unit in length . five imaginary blocks uniquely arranged form each piece . fig1 illustrates a front perspective view of a single imaginary block showing the top side - “ t ”, a front side -“ f ” and right side “ r ”. fig1 a shows the same view , but with the hidden surfaces illustrated by dashed line also shown as the under side -“ u ”, a back side -“ b , and a left side -“ l ”. the pieces have one or more unique steps of assembly that allow all of the pieces to mesh together to form a three - dimensional cube puzzle . other variations are possible , besides the following sequence of assembly steps . [ 0027 ] fig1 through 6 can be used to recognize the piece number that corresponds with the unique form of each piece . alternately , the pieces may be manufactured with a number printed right on them for easy recognition . fig7 - 10 show the proper orientation of each block in the assembly process . referring to fig7 the first stage of assembly of the first lower layer of the puzzle invention is accomplished by placing piece p 4 on a flat surface . the left side of block 17 c of piece p 17 is laid adjacent to right side of block 4 a , so that the two points designated as “ aa ” are adjacent to each other . the front of block 3 d is attached to the back of block 17 d , so that the two points designated as “ bb ” are adjacent to each other . in the remainder of the description the pieces will not be referred to , but are indicated in the block designation . as an example , in the step above with block 3 d , the ‘ 3 ’ refers to piece 3 p and the ‘ d ’ refers to the ‘ d block ’ of that piece . the left side of block 25 d is attached to the right side of block 3 c so that the two points designated as “ cc ” are adjacent to each other . the left side of block 16 a is attached to the right side of block 17 c , so that the two points designated as “ dd ” are adjacent to each other . the front side of block 22 e is attached to the back side of block 16 c , so that the two points designated as “ ee ” are adjacent to each other . in the last step of the first stage , the backside of block 18 a is attached to the front side of block 16 c , so that the two points designated as “ ff ” are adjacent to each other . referring to fig8 in the second stage of assembly , the front of block 1 a of piece 1 is positioned adjacent to the back of block 16 a , which was positioned in the first stage , so that the two points designated as “ gg ” are adjacent to each other . the backside of block 15 e is attached to the front side of block 1 c , so that the two points designated as “ hh ” are adjacent to each other ; in the process piece p 15 is slid under piece p 18 . the right side of block 24 a is attached to the left side of block 1 c , so that the two points designated as “ ii ” are adjacent to each other . the front of block 5 c is attached to the back of block 1 d , so that the two points designated as “ jj ” are adjacent to each other . the front of block 7 d is attached to the back of block 18 e , so that the two points designated as “ kk ” are adjacent to each other . the back of block 19 e attaches to the front of block 24 e , so that the two points designated as “ ll ” are adjacent to each other . the front of block 14 c is attached to the back of block 18 d , so that the two points designated as “ mm ” are adjacent to each other . the front of block 12 d is attached to the back of block 14 d , so that the two points designated as “ nn ” are adjacent to each other . referring to fig9 in the third stage of assembly the left side of block 23 e is attached to the right side of block 24 e , which was positioned in the second stage , so that the two points designated as “ oo ” are adjacent to each other . the left side of block 2 b is attached to the right side of block 23 e , so that the two points designated as “ pp ” are adjacent to each other . the back of block 13 e is attached to the front of block 2 a , so that the two points designated as “ qq ” are adjacent to each other . the back of block 21 c is attached to the front of block 13 c , so that the two points designated as “ rr ” are adjacent to each other . the under side of block 10 e , is attached to top of block 21 a , so that the two points designated as “ ss ” are adjacent to each other . the front of block 6 e is attached to back of block 10 d , so that the two points designated as “ tt ” are adjacent to each other . referring to fig1 , in the fourth stage of assembly the under side of block 9 a is laid on the top of block 19 c , so that the two points designated as “ uu ” are adjacent to each other . the front of block 20 a is attached to the back of block 9 d , so that the two points designated as “ vv ” are adjacent to each other . the left side of block 8 d is attached to the right side of block 20 e , so that the two points designated as “ ww ” are adjacent to each other . the left side of block 11 b is attached to the right side of block 9 c , so that the two points designated as “ xx ” are adjacent to each other . when all twenty - five pieces are assembled together they form a three - dimensional cube puzzle that is five units of length in the height , width and depth . the steps of assembly were described above . for greater clarification the arrangement of each set of five imaginary blocks to form each individual piece will now be specifically detailed . fig7 - 10 , which show the ‘ a ’ through ‘ e ’ block designations on each piece , can be used along with the following figures that show the geometric form in side perspective view . piece 1 , in fig1 a , is made by attaching block 1 b to the back side of block 1 a , block 1 c to the top side of block 1 b , block 1 d to the top side of block 1 c , and block 1 e to the right side of block 1 d . piece 2 , in fig1 b , is made by attaching block 2 b to the back side of block 2 a , block 2 c to the right side of block 2 b , block 2 d to the right side of block 2 c , and block 2 e to the top side of block 2 d ; and piece 3 , in fig1 c , is made by attaching block 3 b to the right side of block 3 a , block 3 c to the right side of block 3 b , block 3 d to the front side of block 3 b , and block 3 e to the top side of block 3 b . piece 4 , in fig1 d , is made by attaching block 4 b to the back side of block 4 a , block 4 c to the back side of block 4 b , block 4 d to the top side of block 4 b , and block 4 e to the right side of block 4 d ; piece 5 , in fig1 e , is made by attaching block 5 b to the back side of block 5 a , block 5 c to the right side of block 5 b , block 5 d to the under side of block 5 c , and block 5 e to the right side of block 5 d ; and piece 6 , in fig2 a , is made by attaching block 6 b to the right side of block 6 a , block 6 c to the front side of block 6 b , block 6 d to the top side of block 6 c , and block 6 e to the front side of block 6 d . piece 7 , in fig2 b , is made by attaching block 7 b to the right side of block 7 a , block 7 c to the top side of block 7 b , block 7 d to the right side of block 7 c , and block 7 e to the front side of block 7 c ; piece 8 , in fig2 c , is made by attaching block 8 b to the top side of block 8 a , block 8 c to the left side of block 8 b , block 8 d to the back side of block 8 b , and block 8 e to the right side of block 8 d ; and piece 9 , in fig2 d , is made by attaching 9 b to the top side of block 9 a , block 9 c to the front side of block 9 b , block 9 d to the back side of block 9 b , and block 9 e to the right side of block 9 d . piece 10 , in fig2 e , is made by attaching block 10 b to the top side of block 10 a , block 10 c to the back side of block 10 b , block 10 d to the top side of block 10 b , and block 10 e to the left side of block 10 d . piece 11 , in fig3 a , is made by attaching block 11 b to the front side of block 11 a , block 11 c to the right side of block 11 b , block 11 d to the right side of 11 c , and block 11 e to the front side of block 11 c . piece 12 , in fig3 b , is made by attaching block 12 b to the right side of block 12 a , block 12 c to the front side of block 12 c , block 12 d to the front side of block 12 c , and block 12 e to the left side of block 12 d . piece 13 , in fig3 c , is made by attaching block 13 b to the back side of block 13 a , block 13 c to the right side of block 13 b , block 13 d to the right side of block 13 c , and block 13 e to the back side of block 13 d . piece 14 , in fig3 d , is made by attaching block 14 b to the right side of block 14 a , block 14 c to the top side of block 14 a , block 14 d to the right side of block 14 c , and block 14 e to the top side of block 14 c . piece 15 , in fig4 a , is made by attaching block 15 b to the right side of block 15 a , block 15 c to the right side of 15 b , block 15 d to the back side of block 15 c , and block 15 e to the back side of block 15 d . piece 16 , in fig4 b , is made by attaching block 16 b to the right side of block 16 a , block 16 c to the right side of block 16 b , block 16 d to the front side of block 16 b , and block 16 e to the back side of block 16 b . piece 17 , in fig4 c , is made by attaching block 17 b to the right side of block 17 a , block 17 c to the back side of block 17 b , block 17 d to the back side of 17 c , and 17 e to the right side of block 17 b . piece 18 , in fig4 d , is made by attaching block 18 b to the top side of block 18 a , block 18 c to the left side of block 18 b , block 18 d to the top side of block 18 c , and block 18 e to the left side of block 18 d . piece 19 , in fig5 a , is made by attaching block 19 b to the back side of block 19 a , block 19 c to the back side of block 19 b , block 19 d to the backside of block 19 c , and block 19 e to the top side of block 19 d piece 20 , in fig5 b , is made by attaching block 20 b to the right side of block 20 a , block 20 c to the right side of block 20 b , block 20 d to the right side of block 20 c , and block 20 e to the front side of block 20 c . piece 21 , in fig5 c , is made by attaching block 21 b to the left side of block 21 a , block 21 c to the left side of block 21 b , block 21 d to the top side of block 21 c , block 21 e to the left side of block 21 d . piece 22 , in fig5 d , is made by attaching block 22 b to the right side of block 22 a , block 22 c to the back side of block 22 b , block 22 d to the top side of block 22 b , and block 22 e to the under side of block 22 b . piece 23 , in fig6 a , is made by attaching block 23 b to the left side of block 23 a , block 23 c to the top of block 23 b , block 23 d to the back side of block 23 c , and block 23 e to the back side of block 23 d . piece 24 , in fig6 b , is made by attaching block 24 b to the left side of block 24 a , block 24 c to the back side of block 24 b , block 24 d to the top side of block 24 c , and block 24 e to the top side of block 24 d . piece 25 , in fig6 c , is made by attaching block 25 b to the right side of block 25 a , block 25 c to the back side of block 25 b , block 25 d to the left side of block 25 c , and block 25 e to the top side of block 25 a . while a preferred embodiment of the invention has been described and illustrated , it should be understood that many changes , substitutions and modifications to the described embodiment are possible . therefore , many alternates are available , without departing from the scope and spirit of the present invention that is defined by the claims that follow .
a three - dimensional cube puzzle consists of twenty - five different shaped pieces . each piece has five cubic units of volume and has at least two square sides . each square side consists of four edges , each edge has a unit of length , such that when all twenty - five pieces are assembled together they will form a three - dimensional cube with each side having five units of length .