MATHEMATICS AND ORIGAMI

Jesús de la Peña Hernández ! AD = 2 L = 0,7071067 L is the side of square ADBF. ! Triangles BCD, ADC and ABD are isosceles, cong ...

Mathematics and Origami ! Revolving that emerging cube 180º around side AB, and moving it, we get another small emerging cube; t ...

Jesús de la Peña Hernández Fig. 1 shows an example made out of one octahedron of side L to Fig.1 (Point 18.9.1) plus 8 tri-right ...

Mathematics and Origami Those 6 rectangles are centered on the faces of a cube as can be seen in Fig. 4. Each pair of opposite r ...

Jesús de la Peña Hernández 18.14.6 PYRITOHEDRON nº 2 This pyritohedric macle consists in a couple of pentagonal-dodechedra keepi ...

Mathematics and Origami Present Fig. 2 is the folding diagram of the wedge, once we have available all the in- formation needed ...

Jesús de la Peña Hernández Joining the extremities of the small crosses and its center B to the vertices of the mentioned cube, ...

Mathematics and Origami 19 ROUND BODIES Strictly speaking they are the cylinder, cone and sphere. We shall construct them by mea ...

Jesús de la Peña Hernández The relations between the magnitudes we have to play with are disclosed below. We need them to constr ...

Mathematics and Origami H is the altitude of a tetrahedron of side R (see the tetrahedron with vertices OAB in Point 18.13.2); ...

Jesús de la Peña Hernández Fig. 5 is the final set as seen from the outside. Fig. 6 represents the sphere with its seat- ing cir ...

Mathematics and Origami The resolution of the already mentioned differential equation bears on the formula that gives the maximu ...

Jesús de la Peña Hernández 2 2 4 5 (^180) , 0329422 36 230 ,^19922 /^23.^020 / 98 2 , 3677979 10 E = Kg mm = Kg cm × × × × − 2 2 ...

Mathematics and Origami ruler. That ́s why we recommend to perform several measures and then to get the mean value. The best of ...

Jesús de la Peña Hernández an irrational number by means of the addition of rational summands which looks rather contradictory, ...

Mathematics and Origami 21 QUADRICS They are conic generated surfaces (see Point 13). That generation is associated always to a ...

Jesús de la Peña Hernández 21.2 CYCLIC SECTIONS DEFORMABLE ELLIPSOID (CYCLIC ELLIPSOID) Cyclic sections of an ellipsoid are thos ...

Mathematics and Origami Now then, the 7 + 7 secants just obtained, are the intercepts in the main ellipse of plane XY, produced ...

Jesús de la Peña Hernández Fig. 4 shows what circle 14 looks like: CC ́ is its diameter and it has the slits required to interlo ...

Mathematics and Origami The spatial figure tends to collapse into the plane XZ as seen in Fig. 6: all the circles taking part in ...