Make a Paper Puzzle

Edited by Alexander Avdeev, Eng, Anonymous

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Method 1: Tetraflexagon

How to make a Tetraflexagon paper puzzle.

Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas212 5623.jpg

Steps

  1. 1
    Take a sheet of paper, a ruler, and a pencil.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas6 233499.jpg
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  2. 2
    Start marking corners for three squares on the paper from the edge.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas21 349748.jpg
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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.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas32 401995.jpg
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  4. 4
    Connect the lines to form the forward side or facet of the tetraflexagon's strip.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas43 4762.jpg
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  5. 5
    Mark it from left to right:
    1, 1, 2. Below: 2, 3, 3.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas61 540585.jpg
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  6. 6
    Cut the strip along its marked edge.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas68 552726.jpg
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  7. 7
    Cut a small strip from the sheet of paper.
    We shall use it later.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas87 528632.jpg
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  8. 8
    Now, bend the whole strip along the marked lines.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas96 375071.jpg
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  9. 9
    Unfold the paper strip.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas106 359241.jpg
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  10. 10
    Turn the strip over to the back side as shown in the tutorial.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas110 097503.jpg
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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.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas126 79197.jpg
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  12. 12
    Turn it back over to the original side.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas130 414137.jpg
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  13. 13
    Bend the strip as shown:
    move two 1s behind 2.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas138 192502.jpg
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  14. 14
    Flip 3 onto 3.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas142 116519.jpg
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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.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas159 112827.jpg
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  16. 16
    Draw a line over it if you wish.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas180 529141.jpg
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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.
    Make a Paper Puzzle METHOD-1-4 Tetra Flexagon.mp4-canvas205 791413.jpg
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Video: Make a Paper Puzzle Tetraflexagon

Method 2: Tetratetraflexagon

How to make a Tetratetraflexagon paper puzzle.

Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas357 71644.jpg

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).
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas16 337547.jpg
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  2. 2
    Connect all lines to form twelve similar squares.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas56 935916.jpg
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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.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas76 881037.jpg
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  4. 4
    Mark the squares from left to right, row by row.
    The top row: 1, 1, 2, 3.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas106 29951.jpg
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  5. 5
    The middle row:
    3, 2, 1, 1.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas113 311648.jpg
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  6. 6
    The last row:
    1, 1, 2, 3.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas118 535923.jpg
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  7. 7
    Cut the three-by-four square out of the sheet.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas129 263101.jpg
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  8. 8
    Cut off a small strip of paper for future use.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas137 443032.jpg
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  9. 9
    Fold the paper along the lines.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas141 948198.jpg
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  10. 10
    Turn it over to the empty side.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas162 79886.jpg
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  11. 11
    You can mark the lines between squares if you wish.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas167 535539.jpg
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  12. 12
    Now, mark the squares as follows.
    The top row: 4, 4, 3, 2.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas190 580677.jpg
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  13. 13
    The middle row:
    2, 3, 4, 4.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas199 566433.jpg
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  14. 14
    The lower row:
    4, 4, 3, 2.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas210 08464.jpg
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  15. 15
    Now, turn it over to the initial side.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas215 003367.jpg
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  16. 16
    Cut out the middle part as shown.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas230 238732.jpg
    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.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas277 055087.jpg
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  18. 18
    Move the right column of 3, 1, and 3 under the 2s to the left of them.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas285 442513.jpg
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  19. 19
    Put the right column of three 2s under the 1s to the left of them.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas293 94135.jpg
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  20. 20
    Flip the leftmost 3 over the 3 next to it.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas298 840562.jpg
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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.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas310 463863.jpg
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  22. 22
    You can draw the line over it if you wish.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas345 733527.jpg
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  23. 23
    The puzzle is ready.
    Practice folding the tetraflexagon until you find all of the four sides.
    Make a Paper Puzzle METHOD-2-4 Tetra Tetra Flexagon.mp4-canvas370 647514.jpg
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Video: Make a Paper Puzzle Tetratetraflexagon

Method 3: Hexahexaflexagon

How to make a Hexahexaflexagon paper puzzle.

Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas441 773004.jpg

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").
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas17 433759.jpg
    All triangles are equilateral.
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  2. 2
    Now, we have to calculate the height of the triangle, which is marked as "h").
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas23 74933.jpg
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  3. 3
    Let us assume that the side is 20 millimeters (or 0.79 inches).
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas28 277035.jpg
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  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).
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas32 502896.jpg
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  5. 5
    I mark the lower sides now.
    Each of the ten steps is 20 millimeters (0.79 inches) for this example.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas54 235883.jpg
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  6. 6
    Mark the height at 17.3mm (0.68 inches).
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas69 372898.jpg
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  7. 7
    Mark the half of the side from the left side of the sheet of paper (10 millimeters or 0.4 inches).
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas101 906857.jpg
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  8. 8
    Proceed with nine "a"-side steps (20 millimeters or 0.79 inches).
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas105 872913.jpg
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  9. 9
    Connect the dots to form equilateral triangles.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas118 485226.jpg
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  10. 10
    Write down the numbers with a pencil as a repeated sequence of 1,2,3.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas144 384321.jpg
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  11. 11
    Leave the last triangle blank.
    It will be glued to another triangle later on.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas154 438148.jpg
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  12. 12
    Cut out the strip of triangles.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas161 264534.jpg
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  13. 13
    Fold the strip along the lines.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas187 012771.jpg
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  14. 14
    Put it back on the table with the numbered side facing up.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas253 347567.jpg
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  15. 15
    Turn it over vertically.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas266 953901.jpg
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  16. 16
    Start marking the other side as a sequence of double 4s, 5s, and 6s, leaving the first triangle empty.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas273 966039.jpg
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  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.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas316 735437.jpg
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  18. 18
    Lay the left 5 over the next 5 to the right of it.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas319 661037.jpg
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  19. 19
    Lay the 6 over the 6 next to it.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas316 700991.jpg
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  20. 20
    Continue doing that the previous three steps until all of the strip is folded.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas326 616184.jpg
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  21. 21
    Position the strip with the 1 and 2 to the left.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas351 971335.jpg
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  22. 22
    Now, bend the whole left part behind the 2s to the right.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas364 811445.jpg
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  23. 23
    Put the remaining tail after the 2s under the last 2.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas368 526488.jpg
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  24. 24
    Take the 2 from under the 3.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas374 308022.jpg
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  25. 25
    Fold the 1 to the back, gluing it.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas383 650457.jpg
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  26. 26
    Practice solving the puzzle until you find all of the six facets.
    Make a Paper Puzzle METHOD-3-4 Hexa Hexa Flexagon.mp4-canvas424 724868.jpg
    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.

Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas808 565316.jpg

Steps

  1. 1
    The puzzle layout looks like a long strip of triangles.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas11 285114.jpg
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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.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas14 280368.jpg
    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").
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas32 555911.jpg
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  4. 4
    Let us assume that it is 25 millimeters (0.98 inches).
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas36 224516.jpg
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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.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas40 473596.jpg
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  6. 6
    We can use a calculator to find the height.
    The height is 21.7 millimeters (0.85 inches).
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas46 48732.jpg
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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.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas65 503684.jpg
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  8. 8
    Mark the first height at 21.7mm (0.85 inches) up from the lower edge of the sheet.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas84 566486.jpg
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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).
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas109 160621.jpg
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  10. 10
    Proceed with marking the length of the side ten times.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas127 666502.jpg
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  11. 11
    Mark the second height at 21.7mm (0.85 inches) up from the upper line.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas139 393278.jpg
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  12. 12
    Proceed with marking the length of the side on the uppermost line ten times.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas155 251858.jpg
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  13. 13
    Now, connect the dots to form equilateral triangles as demonstrated.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas169 276137.jpg
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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.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas205 38623.jpg
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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.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas234 458611.jpg
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  16. 16
    Cut out both strips of triangles.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas288 748176.jpg
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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.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas354 786554.jpg
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  18. 18
    Fold the strip along the lines.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas381 097055.jpg
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  19. 19
    Put the strip with the numbered side facing up.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas480 619593.jpg
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  20. 20
    Turn the strip over vertically.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas492 345191.jpg
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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.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas498 776854.jpg
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  22. 22
    Lay the first 7 upon the next 7.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas563 609697.jpg
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  23. 23
    Lay the leftmost 8 upon the next 8.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas565 513658.jpg
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  24. 24
    Lay the first 9 upon the next 9.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas566 999677.jpg
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  25. 25
    Lay the first 10 upon its neighbouring 10.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas569 205485.jpg
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  26. 26
    Lay the first 11 upon the next 11.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas571 736359.jpg
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  27. 27
    Put the first 12 upon the next 12.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas581 0704.jpg
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  28. 28
    Continue with the same pattern for the rest of the unfolded triangles.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas583 903118.jpg
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  29. 29
    You should get a row of 4s, 5s, and 6s as shown here.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas614 765372.jpg
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  30. 30
    Now, start a new pattern by laying the 6 over the next 6.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas621 179357.jpg
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  31. 31
    Lay the 5 over its adjacent 5.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas623 543098.jpg
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  32. 32
    Lay the first 4 over the next 4.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas625 076232.jpg
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  33. 33
    Repeat the three steps above twice to continue with the row of 4s, 5s, and 6s.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas626 562142.jpg
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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.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas672 535762.jpg
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  35. 35
    Pull the triangles with the 2s on the right behind the nearest triangle with the 1.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas677 969014.jpg
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  36. 36
    Pull the next couple of triangles with 2s behind the nearest triangle with the 1.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas689 418855.jpg
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  37. 37
    Pull out the 1 from under the 3 to form a whole hexagon of 1s.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas693 923344.jpg
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  38. 38
    Turn the dodecahexaflexagon over.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas696 559583.jpg
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  39. 39
    Put the blank triangle under the 2 so that you see two 4s.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas700 066332.jpg
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  40. 40
    Put the two 4s together and glue the blank triangles together.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas705 313832.jpg
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  41. 41
    The puzzle is ready.
    Practice solving the puzzle until you find all its twelve facets.
    Make a Paper Puzzle METHOD-4-4 Dodeca Hexa Flexagon.mp4-canvas731 472163.jpg
    Thank you for choosing VisiHow!
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Video: Make a Paper Puzzle Dodecahexaflexagon

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Alex Avdeev
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Alex Avdeev is a featured author with VisiHow. Alex Avdeev has achieved the level of "Lieutenant Commander" with 94,490 points. Alex Avdeev has started 13 articles (including this one) and has also made 13,158 article edits. 11,900 people have read Alex Avdeev's article contributions.
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Article Info

Categories : Papercrafts

Recent edits by: Eng, Alexander Avdeev

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