MATHEMATICS AND ORIGAMI

Jesús de la Peña Hernández That ́s why the resultant figure requires a sort of frame to stay steady with a certain de- gree of d ...

Mathematics and Origami 21.3 HYPERBOLOID The quadric we are going to construct now is a warped hyperboloid of revolution, a one- ...

Jesús de la Peña Hernández To apply into both bases two opposed fine cardboard cones in order to conform the figure. Those cone ...

Mathematics and Origami paper hyperboloid showing its generatrices, whereas Fig. 4 is a wire-work vision. Note that the hyperbol ...

Jesús de la Peña Hernández 2 1 2 2 2 − = b z a x ; c^2 =a^2 +b^2 (1) hence, the equation of a hyperboloid of revolution (Fig. 8) ...

Mathematics and Origami From that drawing we get the angle of the hyperboloid ́s asymptotic cone as = 2 arctg = 84 , 7369 º b a ...

Jesús de la Peña Hernández respect to the vertical. I leave to the ingenious paper-folders the task of getting a pa- per hyperbo ...

Mathematics and Origami 21.4 HYPERBOLIC PARABOLOID It is a quadric (a second order surface associated to one or various conics), ...

Jesús de la Peña Hernández x+y= 2 pλ and x−y= 2 pμ (2) When assigning values to parameters λ or μ we get different planes that a ...

Mathematics and Origami V F ✁ ✂ 3.1 3.2 3 4 ...

Jesús de la Peña Hernández 21.4.2 PAPER-FOLDED VERSION To start with a square of paper, pleat-folded to Fig. 1. The result is a ...

Mathematics and Origami ACKNOWLEDGEMENT Luis Espada Montenegro Antonio Ledesma López Teodosio de la Fuente Ríos Miguel Angel Mar ...

Jesús de la Peña Hernández Paul Jackson: One crease origami: less is more. Ibid . Pg. 431.// 160. Donovan A. Johnson: Paper fold ...