Make a Paper Puzzle
Edited by Alexander Avdeev, Eng
Steps
- 1Take a sheet of paper, a ruler, and a pencil.
- 2Start marking corners for three squares on the paper from the edge.
- 3Put three more squares below them so that the first square in the lower row touches the last one from the row above.
- 4Connect the lines to form the forward side or facet of the tetraflexagon's strip.
- 51, 1, 2. Below: 2, 3, 3.Mark it from left to right:
- 6Cut the strip along its marked edge.
- 7We shall use it later.Cut a small strip from the sheet of paper.
- 8Now, bend the whole strip along the marked lines.
- 9Unfold the paper strip.
- 10Turn the strip over to the back side as shown in the tutorial.
- 11The upper row should have 3, 3, 2.Mark the blank squares in the lower row as 2, 1, 1.
- 12Turn it back over to the original side.
- 13move two 1s behind 2.Bend the strip as shown:
- 14Flip 3 onto 3.
- 15Use paper glue to ensure that the piece stays and connects the 2s.Connect the two right 2s with the small strip of paper that we have cut off.
- 16Draw a line over it if you wish.
- 17Practice folding the flexagon until you find all of the three sides, one of which is always hidden.The puzzle is ready.Thank you for choosing VisiHow!
Video: Make a Paper Puzzle Tetraflexagon
Steps
- 1The length that I use is always the same (I took 30mm or 1.2-inch steps).Mark four squares horizontally and three vertically.
- 2Connect all lines to form twelve similar squares.
- 3You will have to cut along the line in the middle, so I mark it with a dotted line or with notches.
- 4The top row: 1, 1, 2, 3.Mark the squares from left to right, row by row.
- 53, 2, 1, 1.The middle row:
- 61, 1, 2, 3.The last row:
- 7Cut the three-by-four square out of the sheet.
- 8Cut off a small strip of paper for future use.
- 9Fold the paper along the lines.
- 10Turn it over to the empty side.
- 11You can mark the lines between squares if you wish.
- 12The top row: 4, 4, 3, 2.Now, mark the squares as follows.
- 132, 3, 4, 4.The middle row:
- 144, 4, 3, 2.The lower row:
- 15Now, turn it over to the initial side.
- 16Cut out the middle part as shown.Important! Do not cut the last line. The piece must be attached to the whole puzzle.
- 17Move the middle 2 and 1 behind the 3 to the left of them.Now, move the strips as demonstrated.
- 18Move the right column of 3, 1, and 3 under the 2s to the left of them.
- 19Put the right column of three 2s under the 1s to the left of them.
- 20Flip the leftmost 3 over the 3 next to it.
- 21Connect the 1s in the middle row by gluing the small strip of paper that will hold them together.
- 22You can draw the line over it if you wish.
- 23Practice folding the tetraflexagon until you find all of the four sides.The puzzle is ready.Thank you for choosing VisiHow!
Video: Make a Paper Puzzle Tetratetraflexagon
Steps
- 1Let 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").The layout of the puzzle will look like a line of triangles.All triangles are equilateral.
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
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5
I mark the lower sides now
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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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Leave the last triangle blank
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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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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
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18
Lay the left 5 over the next 5 to the right of it
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Lay the 6 over the 6 next to it
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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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Now, bend the whole left part behind the 2s to the right
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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
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Video: Make a Paper Puzzle Hexahexaflexagon
Steps
- 1The puzzle layout looks like a long strip of triangles.
- 2We 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.
- 3We have to pick a length for the side (which is marked as "a").Let us calculate the size of the triangles for the puzzle.
- 4Let us assume that it is 25 millimeters (0.98 inches).
- 5To 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.
- 6The height is 21.7 millimeters (0.85 inches).We can use a calculator to find the height.
- 7Each of the nine steps is 25 millimeters (0.98 inches) for this example.Start marking the lower sides now.
- 8Mark the first height at 21.7mm (0.85 inches) up from the lower edge of the sheet.
- 9In this case, it is 12.5 millimeters (0.49 inches).Take a half of the side and measure it from the left on the upper line.
- 10Proceed with marking the length of the side ten times.
- 11Mark the second height at 21.7mm (0.85 inches) up from the upper line.
- 12Proceed with marking the length of the side on the uppermost line ten times.
- 13Now, connect the dots to form equilateral triangles as demonstrated.
- 144, 6, 1, 3, 6, 5, 2, 1, 5, 4, 3, 2, 4, 6, 1, 3, 6, and 5.Mark the lower strip as follows:
- 15The upper strip is blank, 2, 1, 5, 4, 3, 2, 4, 6, 1, 3, 6, 5, 2, 1, 5, 4, 3, 2, and blank.
- 16Cut out both strips of triangles.
- 17We can use simple paper glue.Glue the back side of the 5 from the lower strip to the blank triangle of the upper strip to merge both parts.
- 18Fold the strip along the lines.
- 19Put the strip with the numbered side facing up.
- 20Turn the strip over vertically.
- 21Start 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.
- 22Lay the first 7 upon the next 7.
- 23Lay the leftmost 8 upon the next 8.
- 24Lay the first 9 upon the next 9.
- 25Lay the first 10 upon its neighbouring 10.
- 26Lay the first 11 upon the next 11.
- 27Put the first 12 upon the next 12.
- 28Continue with the same pattern for the rest of the unfolded triangles.
- 29You should get a row of 4s, 5s, and 6s as shown here.
- 30Now, start a new pattern by laying the 6 over the next 6.
- 31Lay the 5 over its adjacent 5.
- 32Lay the first 4 over the next 4.
- 33Repeat the three steps above twice to continue with the row of 4s, 5s, and 6s.
- 34The strip must be positioned with 2, 2, 1, 1, 3 on the right.Position the strip as shown.
- 35Pull the triangles with the 2s on the right behind the nearest triangle with the 1.
- 36Pull the next couple of triangles with 2s behind the nearest triangle with the 1.
- 37Pull out the 1 from under the 3 to form a whole hexagon of 1s.
- 38Turn the dodecahexaflexagon over.
- 39Put the blank triangle under the 2 so that you see two 4s.
- 40Put the two 4s together and glue the blank triangles together.
- 41Practice solving the puzzle until you find all its twelve facets.The puzzle is ready.Thank you for choosing VisiHow!
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.
