Regular Hexagon
Regular Hexagon
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Regular Hexagon |
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Folding sheets Regular Hexagon Welcome page Back to the list |
Aveuglami project - folding sheet
Regular Hexagon
| Author | Diverse |
| Category | orimaths |
| Difficulty | * |
| Format | square |
| Base | - |
| Text | A regular hexagon is a regular polygon with 6 sides. Three construction methods are described below.
Method 1 - A4 format 1. Take a sheet of A4 paper, hold it in a horizontal position. 2. Bring, using a valley fold from right to left, the right edge to the left edge. 3. Bring, using a valley fold from left to right, the left edge of the upper flap to the right edge of the shape. Unfold. 4. Flip the fold from right to left. 5. Bring, using a valley fold from right to left, the right edge of the upper flap to the left edge. Unfold. We obtain a vertical rectangular shape, having a hinge edge on the left. The vertical medians of the lower and upper flaps have a valley fold. 6. Bring, through a 30° valley fold passing through the lower apex of the hinge fold, the lower right corner of the upper flap onto the middle fold. This fold is a bit tricky, as the landmark on the center axis is not easy to find. 7. Flip the fold from right to left. The hinge fold is now on the right. 8. Bring, by a 30° valley fold passing through the lower apex of the hinge fold, the lower left corner of the upper flap on the middle fold. This fold is a bit tricky, as the landmark on the center axis is not easy to find. 9. Open the fold using the vertical hinge fold. We obtain a 6-sided shape, carrying at the bottom two right and left triangular rectangle flaps which rest on the edges of a point facing downwards. The top of the shape is made up of a horizontal edge continued on each side by a small vertical edge which joins with the hinge edge of one of the two right triangles. Each triangular flap is bordered at the top by a short side. 10. Bring, by a valley fold from right to left and from top to bottom resting on the upper edge of the right triangle, the right vertical edge along the right hinge fold. 11. Bring, by a valley fold from left to right and from top to bottom resting on the upper edge of the left triangle, the left vertical edge along the left hinge fold. 12. Flip the fold from right to left, so that you get a smooth surface shape. The resulting shape is a diamond. The back of the shape has two mountain folds on either side of a valley fold passing through the vertical diagonal. 13. Fold the right tip from right to left using a valley fold leaning on the mountain fold located at the back right of the shape. Mark the fold well. 14. Fold the left tip from left to right using a valley fold based on the mountain fold located at the back left of the shape. Mark the fold well. 15. Flip the fold from left to right, so that you have a smooth surface in front of you. The resulting shape is a regular hexagon./ Method 2 - square 1. Take a square sheet, hold its lower edge parallel to the edge of the table. 2. Bring, using a valley fold from right to left, the right edge to the left edge. 3. Bring, using a valley fold from left to right, the left edge of the upper flap to the right hinge edge. 4. Flip the fold from right to left. 5. Bring, using a valley fold from right to left, the right edge of the upper flap to the left hinge edge. We obtain a vertical accordion with 4 sides. 6. Unfold everything to return to the initial square. Hold it so that the middle vertical fold is in a valley. The two vertical folds which surround it on the right and left are in the mountains. 7. Bring, by an oblique valley fold from bottom to top starting from the middle of the lower edge, the lower right vertex on the right vertical mountain fold. This fold is quite difficult to make, but you have to be as precise as possible. 8. Bring, by an oblique valley fold from bottom to top starting from the middle of the lower edge, the lower left vertex on the left vertical mountain fold. 9. Bring, by an oblique valley fold from top to bottom starting from the middle of the upper edge, the upper left vertex on the left vertical mountain fold. 10. Bring, by an oblique valley fold from top to bottom starting from the middle of the upper edge, the upper right vertex on the right vertical mountain fold. We obtain a non-regular hexagonal shape. This shape has, on four sides, four small right triangles. It must be held in such a way that the two opposite sides which do not have a triangle are vertical. 11. Bring, through a vertical valley fold from right to left, the right vertical edge of the hexagonal shape onto the right mountain fold which is partially hidden by the two triangles which border it. To mark. Unfold. 12. Bring, through a vertical valley fold from left to right, the left vertical edge of the hexagonal shape on the left mountain fold which is partially hidden by the two triangles which border it. To mark. Unfold. Each of the two vertical sides is now accompanied by a valley fold parallel to it. 13. Bring, through a valley fold from right to left, the right vertical edge of the hexagonal shape onto the vertical valley fold located a little to its left. Mark well. 14. Bring, through a valley fold from left to right, the left vertical edge of the hexagonal shape onto the vertical valley fold located a little to its right. Mark well. 15. Flip the fold from right to left. We obtain a regular hexagon with a smooth face. Method 3 - equilateral triangle 1. Hold the equilateral triangle's bottom edge parallel to the edge of the table. 2. Mark, with a valley fold, the bisector of the angle starting from the upper vertex. Unfold. 3. Mark, with a valley fold, the bisector of the angle starting from the lower right vertex. Unfold. 4. Mark, with a valley fold, the bisector of the angle starting from the lower left vertex. Unfold. The three valley folds meet at the center of the equilateral triangle. 5. Bring, by a valley fold from top to bottom, the upper vertex of the triangle to the center. Mark well. 6. Bring, by a valley fold from right to left, the lower right vertex of the triangle to the center. Mark well. 7. Bring, by a valley fold from left to right, the lower left vertex of the triangle to the center. Mark well. 8. Flip the fold from right to left. Here is a regular hexagon |
| Contents | File |
| Regular Hexagon - PDF file | ML-Orimaths10Ang.pdf |