Toshikazu Kawasaki
Toshikazu Kawasaki (川崎敏和, Kawasaki Toshikazu, born November 26, 1955 in Kurume, Fukuoka) is a Japanese paperfolder and origami theorist who is known for his geometrically innovative models. He is particularly famous for his series of fourfold symmetry "roses", all based on a twisting maneuver that allows the petals to seem to curl out from the center of the flower. Kawasaki also teaches mathematics at Sasebo Technical Junior College.
Kawasaki was the first to develop the technique of iso-area folding, which allows the folder to end up with each side of the paper displayed in equal amounts. It consists of building a mirror-symmetrical crease pattern and then collapsing it to find a finished form, usually a geometric shape such as a cube. He also discovered and proved that with any given flat point in an origami model, the sum of alternating angles is always equal to 180 degrees, a result now known as Kawasaki's theorem.
Publications
- Origami^6, American Math Society, (2015)
- The Greatest Dream Origami, Asahi Press, (2009)
Resources
Kunihiko Kasahara and Toshie Takahama, Origami for the Connoisseur. Japan Publications.
External links
- Instructions for folding Toshikazu Kawasaki's Rose
- v
- t
- e
- Big-little-big lemma
- Crease pattern
- Huzita–Hatori axioms
- Kawasaki's theorem
- Maekawa's theorem
- Map folding
- Napkin folding problem
- Pureland origami
- Yoshizawa–Randlett system
- Dragon curve
- Flexagon
- Möbius strip
- Regular paperfolding sequence
- Miura fold
- Modular origami
- Paper bag problem
- Rigid origami
- Schwarz lantern
- Sonobe
- Yoshimura buckling
- Alexandrov's uniqueness theorem
- Flexible polyhedron (Bricard octahedron, Steffen's polyhedron)
- Net
- Blooming
- Common net
- Source unfolding
- Star unfolding
- Fold-and-cut theorem
- Lill's method
- Geometric Exercises in Paper Folding
- Geometric Folding Algorithms
- Geometric Origami
- A History of Folding in Mathematics
- Origami Polyhedra Design
- Origamics
- Roger C. Alperin
- Margherita Piazzola Beloch
- Yan Chen
- Robert Connelly
- Erik Demaine
- Martin Demaine
- Rona Gurkewitz
- David A. Huffman
- Tom Hull
- Kôdi Husimi
- Humiaki Huzita
- Toshikazu Kawasaki
- Robert J. Lang
- Anna Lubiw
- Jun Maekawa
- Kōryō Miura
- Joseph O'Rourke
- Tomohiro Tachi
- Eve Torrence