Diamond
Diamond
Welcome page
Back to the list
|
|
Diamond |
|
Folding sheets Diamond Welcome page Back to the list |
Aveuglami project - folding sheet
Diamond
| Author | Diverse |
| Category | orimaths |
| Difficulty | * |
| Format | square |
| Base | - |
| Text | A diamond (rhombus) is a particular quadrilateral (4-sided polygon): it is a parallelogram with sides of the same length. Consequently, its sides are parallel in pairs, the diagonals intersect in the middle and are perpendicular. Two construction methods are given.
Method 1 1. Take a sheet of A4 paper, hold it in a vertical position 2. Turn the sheet from left to right, until the diagonal is horizontal. There is now a lower vertex and an upper vertex. 3. Bring, by a valley fold from bottom to top, the lower vertex on the upper vertex. We obtain a pentagon with a point upwards and a horizontal hinge fold at the bottom. On the left side is a four-sided flap. On the right part of the shape is a triangle of simple thickness whose left side is bounded by the right side of the upper quadrilateral. 4. Fold the single-thickness triangular part to the left using a valley fold from right to left, which rests on the right edge of the upper flap. 5. Flip the fold from right to left. 6. Fold the single-thickness triangular part to the left using a valley fold from right to left, which rests on the right edge of the upper flap. 7. Open the fold by tilting the upper flap up and down around the lower hinge fold. There are two small triangular flaps at the bottom left and top right. 8. Fold the lower left triangular flap and the upper right triangular flap flat. 9. Turn the fold over, so that you have a smooth shape in front of you. The shape obtained is a diamond. Method 2 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. |
| Contents | File |
| Diamond - PDF file | ML-Orimaths12Ang.pdf |