Make a Paper Puzzle

Edited by Alexander Avdeev, Eng

Ad

Method 1: Tetraflexagon

How to make a Tetraflexagon paper puzzle.


Steps

  1. 1
    Take a sheet of paper, a ruler, and a pencil
    .
    Advertisement
    Was this step helpful? Yes | No| I need help
  2. 2
    Start marking corners for three squares on the paper from the edge
    .
    Advertisement
    Was this step helpful? Yes | No| I need help
  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
    .
    Was this step helpful? Yes | No| I need help
  4. 4
    Connect the lines to form the forward side or facet of the tetraflexagon's strip
    .
    Was this step helpful? Yes | No| I need help
  5. 5
    Mark it from left to right
    :
    1, 1, 2. Below: 2, 3, 3.
    Was this step helpful? Yes | No| I need help
  6. 6
    Cut the strip along its marked edge
    .
    Was this step helpful? Yes | No| I need help
  7. 7
    Cut a small strip from the sheet of paper
    .
    We shall use it later.
    Was this step helpful? Yes | No| I need help
  8. 8
    Now, bend the whole strip along the marked lines
    .
    Was this step helpful? Yes | No| I need help
  9. 9
    Unfold the paper strip
    .
    Was this step helpful? Yes | No| I need help
  10. 10
    Turn the strip over to the back side as shown in the tutorial
    .
    Was this step helpful? Yes | No| I need help
  11. 11
    Mark the blank squares in the lower row as 2, 1, 1
    .
    The upper row should have 3, 3, 2.
    Was this step helpful? Yes | No| I need help
  12. 12
    Turn it back over to the original side
    .
    Was this step helpful? Yes | No| I need help
  13. 13
    Bend the strip as shown
    :
    move two 1s behind 2.
    Was this step helpful? Yes | No| I need help
  14. 14
    Flip 3 onto 3
    .
    Was this step helpful? Yes | No| I need help
  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.
    Was this step helpful? Yes | No| I need help
  16. 16
    Draw a line over it if you wish
    .
    Was this step helpful? Yes | No| I need help
  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!
    Was this step helpful? Yes | No| I need help

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).
    Advertisement
    Was this step helpful? Yes | No| I need help
  2. 2
    Connect all lines to form twelve similar squares
    .
    Was this step helpful? Yes | No| I need help
  3. 3
    You will have to cut along the line in the middle, so I mark it with a dotted line or with notches
    .
    Was this step helpful? Yes | No| I need help
  4. 4
    Mark the squares from left to right, row by row
    .
    The top row: 1, 1, 2, 3.
    Was this step helpful? Yes | No| I need help
  5. 5
    The middle row
    :
    3, 2, 1, 1.
    Was this step helpful? Yes | No| I need help
  6. 6
    The last row
    :
    1, 1, 2, 3.
    Was this step helpful? Yes | No| I need help
  7. 7
    Cut the three-by-four square out of the sheet
    .
    Was this step helpful? Yes | No| I need help
  8. 8
    Cut off a small strip of paper for future use
    .
    Was this step helpful? Yes | No| I need help
  9. 9
    Fold the paper along the lines
    .
    Was this step helpful? Yes | No| I need help
  10. 10
    Turn it over to the empty side
    .
    Was this step helpful? Yes | No| I need help
  11. 11
    You can mark the lines between squares if you wish
    .
    Was this step helpful? Yes | No| I need help
  12. 12
    Now, mark the squares as follows
    .
    The top row: 4, 4, 3, 2.
    Was this step helpful? Yes | No| I need help
  13. 13
    The middle row
    :
    2, 3, 4, 4.
    Was this step helpful? Yes | No| I need help
  14. 14
    The lower row
    :
    4, 4, 3, 2.
    Was this step helpful? Yes | No| I need help
  15. 15
    Now, turn it over to the initial side
    .
    Was this step helpful? Yes | No| I need help
  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.
    Was this step helpful? Yes | No| I need help
  17. 17
    Now, move the strips as demonstrated
    .
    Move the middle 2 and 1 behind the 3 to the left of them.
    Was this step helpful? Yes | No| I need help
  18. 18
    Move the right column of 3, 1, and 3 under the 2s to the left of them
    .
    Was this step helpful? Yes | No| I need help
  19. 19
    Put the right column of three 2s under the 1s to the left of them
    .
    Was this step helpful? Yes | No| I need help
  20. 20
    Flip the leftmost 3 over the 3 next to it
    .
    Was this step helpful? Yes | No| I need help
  21. 21
    Connect the 1s in the middle row by gluing the small strip of paper that will hold them together
    .
    Was this step helpful? Yes | No| I need help
  22. 22
    You can draw the line over it if you wish
    .
    Was this step helpful? Yes | No| I need help
  23. 23
    The puzzle is ready
    .
    Practice folding the tetraflexagon until you find all of the four sides. Thank you for choosing VisiHow!
    Was this step helpful? Yes | No| I need help

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.
    Advertisement
    Was this step helpful? Yes | No| I need help
  2. 2
    Now, we have to calculate the height of the triangle, which is marked as "h")
    .
    Was this step helpful? Yes | No| I need help
  3. 3
    Let us assume that the side is 20 millimeters (or 0.79 inches)
    .
    Was this step helpful? Yes | No| I need help
  4. 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).
    Was this step helpful? Yes | No| I need help
  5. 5
    I mark the lower sides now
    .
    Each of the ten steps is 20 millimeters (0.79 inches) for this example.
    Was this step helpful? Yes | No| I need help
  6. 6
    Mark the height at 17.3mm (0.68 inches)
    .
    Was this step helpful? Yes | No| I need help
  7. 7
    Mark the half of the side from the left side of the sheet of paper (10 millimeters or 0.4 inches)
    .
    Was this step helpful? Yes | No| I need help
  8. 8
    Proceed with nine "a"-side steps (20 millimeters or 0.79 inches)
    .
    Was this step helpful? Yes | No| I need help
  9. 9
    Connect the dots to form equilateral triangles
    .
    Was this step helpful? Yes | No| I need help
  10. 10
    Write down the numbers with a pencil as a repeated sequence of 1,2,3
    .
    Was this step helpful? Yes | No| I need help
  11. 11
    Leave the last triangle blank
    .
    It will be glued to another triangle later on.
    Was this step helpful? Yes | No| I need help
  12. 12
    Cut out the strip of triangles
    .
    Was this step helpful? Yes | No| I need help
  13. 13
    Fold the strip along the lines
    .
    Was this step helpful? Yes | No| I need help
  14. 14
    Put it back on the table with the numbered side facing up
    .
    Was this step helpful? Yes | No| I need help
  15. 15
    Turn it over vertically
    .
    Was this step helpful? Yes | No| I need help
  16. 16
    Start marking the other side as a sequence of double 4s, 5s, and 6s, leaving the first triangle empty
    .
    Was this step helpful? Yes | No| I need help
  17. 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.
    Was this step helpful? Yes | No| I need help
  18. 18
    Lay the left 5 over the next 5 to the right of it
    .
    Was this step helpful? Yes | No| I need help
  19. 19
    Lay the 6 over the 6 next to it
    .
    Was this step helpful? Yes | No| I need help
  20. 20
    Continue doing that the previous three steps until all of the strip is folded
    .
    Was this step helpful? Yes | No| I need help
  21. 21
    Position the strip with the 1 and 2 to the left
    .
    Was this step helpful? Yes | No| I need help
  22. 22
    Now, bend the whole left part behind the 2s to the right
    .
    Was this step helpful? Yes | No| I need help
  23. 23
    Put the remaining tail after the 2s under the last 2
    .
    Was this step helpful? Yes | No| I need help
  24. 24
    Take the 2 from under the 3
    .
    Was this step helpful? Yes | No| I need help
  25. 25
    Fold the 1 to the back, gluing it
    .
    Was this step helpful? Yes | No| I need help
  26. 26
    Practice solving the puzzle until you find all of the six facets
    .
    Thank you for choosing VisiHow!
    Was this step helpful? Yes | No| I need help

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
    .
    Was this step helpful? Yes | No| I need help
  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.
    Was this step helpful? Yes | No| I need help
  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").
    Was this step helpful? Yes | No| I need help
  4. 4
    Let us assume that it is 25 millimeters (0.98 inches)
    .
    Was this step helpful? Yes | No| I need help
  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
    .
    Was this step helpful? Yes | No| I need help
  6. 6
    We can use a calculator to find the height
    .
    The height is 21.7 millimeters (0.85 inches).
    Was this step helpful? Yes | No| I need help
  7. 7
    Start marking the lower sides now
    .
    Each of the nine steps is 25 millimeters (0.98 inches) for this example.
    Was this step helpful? Yes | No| I need help
  8. 8
    Mark the first height at 21.7mm (0.85 inches) up from the lower edge of the sheet
    .
    Was this step helpful? Yes | No| I need help
  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).
    Was this step helpful? Yes | No| I need help
  10. 10
    Proceed with marking the length of the side ten times
    .
    Was this step helpful? Yes | No| I need help
  11. 11
    Mark the second height at 21.7mm (0.85 inches) up from the upper line
    .
    Was this step helpful? Yes | No| I need help
  12. 12
    Proceed with marking the length of the side on the uppermost line ten times
    .
    Was this step helpful? Yes | No| I need help
  13. 13
    Now, connect the dots to form equilateral triangles as demonstrated
    .
    Was this step helpful? Yes | No| I need help
  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.
    Was this step helpful? Yes | No| I need help
  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
    .
    Was this step helpful? Yes | No| I need help
  16. 16
    Cut out both strips of triangles
    .
    Was this step helpful? Yes | No| I need help
  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.
    Was this step helpful? Yes | No| I need help
  18. 18
    Fold the strip along the lines
    .
    Was this step helpful? Yes | No| I need help
  19. 19
    Put the strip with the numbered side facing up
    .
    Was this step helpful? Yes | No| I need help
  20. 20
    Turn the strip over vertically
    .
    Was this step helpful? Yes | No| I need help
  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
    .
    Was this step helpful? Yes | No| I need help
  22. 22
    Lay the first 7 upon the next 7
    .
    Was this step helpful? Yes | No| I need help
  23. 23
    Lay the leftmost 8 upon the next 8
    .
    Was this step helpful? Yes | No| I need help
  24. 24
    Lay the first 9 upon the next 9
    .
    Was this step helpful? Yes | No| I need help
  25. 25
    Lay the first 10 upon its neighbouring 10
    .
    Was this step helpful? Yes | No| I need help
  26. 26
    Lay the first 11 upon the next 11
    .
    Was this step helpful? Yes | No| I need help
  27. 27
    Put the first 12 upon the next 12
    .
    Was this step helpful? Yes | No| I need help
  28. 28
    Continue with the same pattern for the rest of the unfolded triangles
    .
    Was this step helpful? Yes | No| I need help
  29. 29
    You should get a row of 4s, 5s, and 6s as shown here
    .
    Was this step helpful? Yes | No| I need help
  30. 30
    Now, start a new pattern by laying the 6 over the next 6
    .
    Was this step helpful? Yes | No| I need help
  31. 31
    Lay the 5 over its adjacent 5
    .
    Was this step helpful? Yes | No| I need help
  32. 32
    Lay the first 4 over the next 4
    .
    Was this step helpful? Yes | No| I need help
  33. 33
    Repeat the three steps above twice to continue with the row of 4s, 5s, and 6s
    .
    Was this step helpful? Yes | No| I need help
  34. 34
    Position the strip as shown
    .
    The strip must be positioned with 2, 2, 1, 1, 3 on the right.
    Was this step helpful? Yes | No| I need help
  35. 35
    Pull the triangles with the 2s on the right behind the nearest triangle with the 1
    .
    Was this step helpful? Yes | No| I need help
  36. 36
    Pull the next couple of triangles with 2s behind the nearest triangle with the 1
    .
    Was this step helpful? Yes | No| I need help
  37. 37
    Pull out the 1 from under the 3 to form a whole hexagon of 1s
    .
    Was this step helpful? Yes | No| I need help
  38. 38
    Turn the dodecahexaflexagon over
    .
    Was this step helpful? Yes | No| I need help
  39. 39
    Put the blank triangle under the 2 so that you see two 4s
    .
    Was this step helpful? Yes | No| I need help
  40. 40
    Put the two 4s together and glue the blank triangles together
    .
    Was this step helpful? Yes | No| I need help
  41. 41
    The puzzle is ready
    .
    Practice solving the puzzle until you find all its twelve facets. Thank you for choosing VisiHow!
    Was this step helpful? Yes | No| I need help
    Advertisement

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.

Comments

VisiHow welcomes all comments. If you do not want to be anonymous, register or log in. It is free.

Article Info

Categories : Papercrafts

Recent edits by: Alexander Avdeev

Share this Article:

Thanks to all authors for creating a page that has been read 1,123 times.

Do you have a question not answered in this article?
Click here to ask one of the writers of this article
x

Thank Our Volunteer Authors.

Would you like to give back to the community by fixing a spelling mistake? Yes | No