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Nets which can be folded to 3 distinct boxes

Nets which can be folded to 3 distinct boxes

From the same unfolded pattern, you can make three different boxes! In the 3D window of Pepakura Designer, you can see three boxes with different shapes. However, the three unfolded patterns shown in the pattern window all have the same shape. This very interesting fact was researched by Prof. Uehara. Reference: Xu, D., Horiyama, T., Shirakawa, T., Uehara, R. (2015). Common Developments of Three Incongruent Boxes of Area 30. In: Jain, R., Jain, S., Stephan, F. (eds) Theory and Applications of Models of Computation. TAMC…

Nets which can be folded to 2 distinct boxes

Nets which can be folded to 2 distinct boxes

From one unfolded pattern, you can make two different boxes! In the 3D window of Pepakura Designer, you can see two boxes with different shapes. However, the unfolded patterns shown in the pattern window is exactly the same. This very interesting fact was researched by Prof. Uehara. Reference: https://www.jaist.ac.jp/~uehara/etc/origami/nets/index-e.html Using the animation function in Pepakura Designer, you can watch how the same pattern transforms into different boxes.