MATHEMATICS AND ORIGAMI

(Dana P.) #1
V

18.11 Icosahedron .................................................................................................................. 210


18.12 Stellate regular polyhedra
18.12.1 Number 1 ..................................................................................................................... 211


18.12.2 Number 2 .................................................................................................................... 215


18.12.3 Number 3 ..................................................................................................................... 216


18.12.4 Number 4 ..................................................................................................................... 217


18.13 Pseudorregular polyhedra ............................................................................................ 220


18.13.1 Rhombic-dodecahedron ............................................................................................... 220


18.13.2 Trapezohedron ............................................................................................................. 223


18.14 Macles .......................................................................................................................... 225
Tetrahedral. Made of cubes. Aragonite. Cube-octahedral. Pyrito-
hedra. The iron cross.


19 Round solids ................................................................................................................ 2 33
Sphere. Cylinder. Cone.


20 Paper flexibility.


20.1 Hooke ́s law ................................................................................................................. 236


20.2 The p number.............................................................................................................. 238


21 Quadrics ....................................................................................................................... 241


21.1 Elliptic ellipsoid........................................................................................................... 241


21.2 Cyclic sections deformable ellipsoid (cyclic ellipsoid) ............................................... 242


21.3 Hyperboloid ................................................................................................................. 247


21.4 Hyperbolic paraboloid ................................................................................................. 253


Acknowledgement, Bibliography................................................................................ 257
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