Make a Paper Puzzle

Edited by Alexander Avdeev, Eng

Method 1: Tetraflexagon

How to make a Tetraflexagon paper puzzle.


Steps

  1. 1
    Take a sheet of paper, a ruler, and a pencil
    .
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  2. 2
    Start marking corners for three squares on the paper from the edge
    .
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  3. 3
    Put three more squares below them so that the first square in the lower row touches the last one from the row above
    .
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  4. 4
    Connect the lines to form the forward side or facet of the tetraflexagon's strip
    .
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  5. 5
    Mark it from left to right
    :
    1, 1, 2. Below: 2, 3, 3.
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  6. 6
    Cut the strip along its marked edge
    .
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  7. 7
    Cut a small strip from the sheet of paper
    .
    We shall use it later.
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  8. 8
    Now, bend the whole strip along the marked lines
    .
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  9. 9
    Unfold the paper strip
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  10. 10
    Turn the strip over to the back side as shown in the tutorial
    .
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  11. 11
    Mark the blank squares in the lower row as 2, 1, 1
    .
    The upper row should have 3, 3, 2.
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  12. 12
    Turn it back over to the original side
    .
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  13. 13
    Bend the strip as shown
    :
    move two 1s behind 2.
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  14. 14
    Flip 3 onto 3
    .
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  15. 15
    Connect the two right 2s with the small strip of paper that we have cut off
    .
    Use paper glue to ensure that the piece stays and connects the 2s.
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  16. 16
    Draw a line over it if you wish
    .
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  17. 17
    The puzzle is ready
    .
    Practice folding the flexagon until you find all of the three sides, one of which is always hidden. Thank you for choosing VisiHow!
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Video: Make a Paper Puzzle Tetraflexagon

Method 2: Tetratetraflexagon

How to make a Tetratetraflexagon paper puzzle.


Steps

  1. 1
    Mark four squares horizontally and three vertically
    .
    The length that I use is always the same (I took 30mm or 1.2-inch steps).
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  2. 2
    Connect all lines to form twelve similar squares
    .
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  3. 3
    You will have to cut along the line in the middle, so I mark it with a dotted line or with notches
    .
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  4. 4
    Mark the squares from left to right, row by row
    .
    The top row: 1, 1, 2, 3.
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  5. 5
    The middle row
    :
    3, 2, 1, 1.
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  6. 6
    The last row
    :
    1, 1, 2, 3.
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  7. 7
    Cut the three-by-four square out of the sheet
    .
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  8. 8
    Cut off a small strip of paper for future use
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  9. 9
    Fold the paper along the lines
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  10. 10
    Turn it over to the empty side
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  11. 11
    You can mark the lines between squares if you wish
    .
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  12. 12
    Now, mark the squares as follows
    .
    The top row: 4, 4, 3, 2.
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  13. 13
    The middle row
    :
    2, 3, 4, 4.
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  14. 14
    The lower row
    :
    4, 4, 3, 2.
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  15. 15
    Now, turn it over to the initial side
    .
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  16. 16
    Cut out the middle part as shown
    .
    Important! Do not cut the last line. The piece must be attached to the whole puzzle.
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  17. 17
    Now, move the strips as demonstrated
    .
    Move the middle 2 and 1 behind the 3 to the left of them.
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  18. 18
    Move the right column of 3, 1, and 3 under the 2s to the left of them
    .
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  19. 19
    Put the right column of three 2s under the 1s to the left of them
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  20. 20
    Flip the leftmost 3 over the 3 next to it
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  21. 21
    Connect the 1s in the middle row by gluing the small strip of paper that will hold them together
    .
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  22. 22
    You can draw the line over it if you wish
    .
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  23. 23
    The puzzle is ready
    .
    Practice folding the tetraflexagon until you find all of the four sides. Thank you for choosing VisiHow!
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Video: Make a Paper Puzzle Tetratetraflexagon

Method 3: Hexahexaflexagon

How to make a Hexahexaflexagon paper puzzle.


Steps

  1. 1
    The layout of the puzzle will look like a line of triangles
    .
    Let us calculate the size of the triangles for the puzzle. There are ten lower sides for the triangles, so we have to pick a length for the side (which is marked as "a"). All triangles are equilateral.
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  • 2
    Now, we have to calculate the height of the triangle, which is marked as "h")
    .
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  • 3
    Let us assume that the side is 20 millimeters (or 0.79 inches)
    .
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  • 4
    The height will be the side times square root of three divided by two
    .
    I use a calculator application on my iPhone to find the height. The height is 17.3mm (0.68 inches).
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  • 5
    I mark the lower sides now
    .
    Each of the ten steps is 20 millimeters (0.79 inches) for this example.
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  • 6
    Mark the height at 17.3mm (0.68 inches)
    .
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  • 7
    Mark the half of the side from the left side of the sheet of paper (10 millimeters or 0.4 inches)
    .
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  • 8
    Proceed with nine "a"-side steps (20 millimeters or 0.79 inches)
    .
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  • 9
    Connect the dots to form equilateral triangles
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  • 10
    Write down the numbers with a pencil as a repeated sequence of 1,2,3
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  • 11
    Leave the last triangle blank
    .
    It will be glued to another triangle later on.
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  • 12
    Cut out the strip of triangles
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  • 13
    Fold the strip along the lines
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  • 14
    Put it back on the table with the numbered side facing up
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  • 15
    Turn it over vertically
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  • 16
    Start marking the other side as a sequence of double 4s, 5s, and 6s, leaving the first triangle empty
    .
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  • 17
    Prepare to lay 4s over 4s, 5s over 5s, and 6s over 6s as shown in the video
    .
    Start with laying the first 4 over the next 4.
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  • 18
    Lay the left 5 over the next 5 to the right of it
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  • 19
    Lay the 6 over the 6 next to it
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  • 20
    Continue doing that the previous three steps until all of the strip is folded
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  • 21
    Position the strip with the 1 and 2 to the left
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  • 22
    Now, bend the whole left part behind the 2s to the right
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  • 23
    Put the remaining tail after the 2s under the last 2
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  • 24
    Take the 2 from under the 3
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  • 25
    Fold the 1 to the back, gluing it
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  • 26
    Practice solving the puzzle until you find all of the six facets
    .
    Thank you for choosing VisiHow!
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  • Video: Make a Paper Puzzle Hexahexaflexagon

    Method 4: Dodecahexaflexagon

    How to make a Dodecahexaflexagon paper puzzle.

    Steps

    1. 1
      The puzzle layout looks like a long strip of triangles
      .
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    2. 2
      We will have to split the strip into two halves and merge them into one strip later on owing to the overall length of the layout
      .
      All triangles are equilateral.
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    3. 3
      Let us calculate the size of the triangles for the puzzle
      .
      We have to pick a length for the side (which is marked as "a").
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    4. 4
      Let us assume that it is 25 millimeters (0.98 inches)
      .
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    5. 5
      To calculate the height of the triangle, which is marked as "h", we have to multiply the side by the square root of three divided by two
      .
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    6. 6
      We can use a calculator to find the height
      .
      The height is 21.7 millimeters (0.85 inches).
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    7. 7
      Start marking the lower sides now
      .
      Each of the nine steps is 25 millimeters (0.98 inches) for this example.
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    8. 8
      Mark the first height at 21.7mm (0.85 inches) up from the lower edge of the sheet
      .
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    9. 9
      Take a half of the side and measure it from the left on the upper line
      .
      In this case, it is 12.5 millimeters (0.49 inches).
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    10. 10
      Proceed with marking the length of the side ten times
      .
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    11. 11
      Mark the second height at 21.7mm (0.85 inches) up from the upper line
      .
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    12. 12
      Proceed with marking the length of the side on the uppermost line ten times
      .
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    13. 13
      Now, connect the dots to form equilateral triangles as demonstrated
      .
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    14. 14
      Mark the lower strip as follows
      :
      4, 6, 1, 3, 6, 5, 2, 1, 5, 4, 3, 2, 4, 6, 1, 3, 6, and 5.
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    15. 15
      The upper strip is blank, 2, 1, 5, 4, 3, 2, 4, 6, 1, 3, 6, 5, 2, 1, 5, 4, 3, 2, and blank
      .
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    16. 16
      Cut out both strips of triangles
      .
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    17. 17
      Glue the back side of the 5 from the lower strip to the blank triangle of the upper strip to merge both parts
      .
      We can use simple paper glue.
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    18. 18
      Fold the strip along the lines
      .
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    19. 19
      Put the strip with the numbered side facing up
      .
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    20. 20
      Turn the strip over vertically
      .
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    21. 21
      Start marking the other side as a sequence of double 7s, double 8s, double 9s (make sure to distinguish 9s from 6s), double 10s, double 11s, and double 12s, leaving the first triangle empty
      .
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    22. 22
      Lay the first 7 upon the next 7
      .
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    23. 23
      Lay the leftmost 8 upon the next 8
      .
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    24. 24
      Lay the first 9 upon the next 9
      .
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    25. 25
      Lay the first 10 upon its neighbouring 10
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    26. 26
      Lay the first 11 upon the next 11
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    27. 27
      Put the first 12 upon the next 12
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    28. 28
      Continue with the same pattern for the rest of the unfolded triangles
      .
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    29. 29
      You should get a row of 4s, 5s, and 6s as shown here
      .
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    30. 30
      Now, start a new pattern by laying the 6 over the next 6
      .
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    31. 31
      Lay the 5 over its adjacent 5
      .
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    32. 32
      Lay the first 4 over the next 4
      .
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    33. 33
      Repeat the three steps above twice to continue with the row of 4s, 5s, and 6s
      .
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    34. 34
      Position the strip as shown
      .
      The strip must be positioned with 2, 2, 1, 1, 3 on the right.
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    35. 35
      Pull the triangles with the 2s on the right behind the nearest triangle with the 1
      .
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    36. 36
      Pull the next couple of triangles with 2s behind the nearest triangle with the 1
      .
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    37. 37
      Pull out the 1 from under the 3 to form a whole hexagon of 1s
      .
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    38. 38
      Turn the dodecahexaflexagon over
      .
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    39. 39
      Put the blank triangle under the 2 so that you see two 4s
      .
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    40. 40
      Put the two 4s together and glue the blank triangles together
      .
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    41. 41
      The puzzle is ready
      .
      Practice solving the puzzle until you find all its twelve facets. Thank you for choosing VisiHow!
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    Video: Make a Paper Puzzle Dodecahexaflexagon

    If you have problems with any of the steps in this article, please ask a question for more help, or post in the comments section below.

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    Article Info

    Categories : Papercrafts

    Recent edits by: Alexander Avdeev

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