We will use six identical rectangular sheets to make a pleated triangular gift box. We will also derive a formula to calculate the volume of the box mathematically. The connection between origami and mathematics will be highlighted.
For the box we will need 6 sheets (3 sheets for the lid and 3 sheets for the box bottom):
Printing paper (75-80 gsm) works well, such as Astrobrites (24 lb/89 gsm).
• 11 in by 8.5 in (US Letter), or
• 210 x 297 mm (A4)
You can download and print these patterned sheets designed by me. It was a part of an article that I published with Math Horizons:
https://www.maa.org/sites/default/files/pdf/Mathhorizons/supplement/Flor...
https://www.maa.org/sites/default/files/pdf/Mathhorizons/supplement/Geom...
https://www.maa.org/sites/default/files/pdf/Mathhorizons/supplement/Geom...
https://www.maa.org/sites/default/files/pdf/Mathhorizons/supplement/Flor...