- Haisheng Liang
For sharing a big Origami/Mathematics discovery and let people enjoy this discovery and finding more interesting Origami modle.
I would like to share an exciting Paper Tetrahedron Folding I found with you:
An A4(A or B are OK too) metric paper can be fold into
multiple (2N) interesting same shape and size tetrahedrons and the max 16 of
them can combine to a large shape with the same proportion. This
kind of tetrahedron named 2:root3 has 4 same isosceles triangle face,
with 2 same long edges and 4 same short edges. The most
changlenging one is to fold 16 same size tetrahedrons
with one A4 metric paper. I named 1/2， 1/4， 1/8 and 1/16 folding.
Than I have some questions and appreciate if you can give some advice:
1. How many kinds of model for the 1/2 size tetrahedrons existing ? I found 3 kinds.
2. How many kinds of model for the 1/4 size tetrahedrons existing ? I found 5 kinds.
3. How many kinds of model for the 1/8 size tetrahedrons existing ? I founds 15 kinds.
5. How many kinds of modle for the 1/16 size tetrahedrons existing ? I found 7 kinds now.
6 . I found a special method which can fold one modle of 2N (more > than 32)tetrahedrons. Is it other modle can be fold for the 2N numbers?
I thought it should need computer to solve problem number 6.
If it is possible,I would like to show the photoes of my multiple tetrahedrons
modle family. discovery to OrigamiUSA friends.
Sorry for my poor English.
I also give this question to Origami specialist Robert J Lang, he mailed me.
Closing Statement from Haisheng Liang
My talk show on Shanghai World Finace Center, Insights Talking, 19th Sep. 2012. http://video.sina.com.cn/v/b/86109686-1580841745.html
Working as an engieer, Liang haisheng spares his own time in inventing for over 20 years. His inventions and artistic works won a lot of prizes in China. Especially for the paper folding, he created the exclusive ways of origami.