Inflatable ball for footballing and recreational activities

Abstract

This invention relates to an inflatable ball ( 1 ) for footballing and recreational activities. It is based on a new geometric model. It considers the use of unrolled folding curved surfaces—cylindrical surfaces—to create spherical three-dimensional structures—domes and geoids—to replace the current structures that make use of plane geometrical figures such as the truncated icosahedron. It is a configuration that corresponds to a ball ( 1 ) with 12 faces or panels ( 2 ), 24 edges ( 3 ) and 14 vertices, six are type (A) and eight are type (B), which takes advantage of the curvature of solids to replicate a warped, spherical figure and moulds are not needed to make them. That is, with the advantage that it can be made based on development of surfaces.

1 . Inflatable ball ( 1 ) for footballing and recreational activities comprising
 an inner air chamber and   an outer covering formed by multiple panels, said outer covering being composed of 12 panels ( 2 ), quadrilateral in shape and all identical, with each panel ( 2 ) being delimited by four edges ( 3 ) of equal length through which said panels are joined together, with each panel ( 2 ) circumferentially bounded by four other panels, each said panel ( 2 ) having a curved surface resulting from the overlay of a Non-polyhedron comprising of 12 faces or panels ( 2 ), 24 edges ( 3 ) and 14 vertices, six of type (A) and eight of type (B), yielded by the intersection of three cylinders of equal diameter, 22 cm, each of whose axes establishes, in the space, an angle of 90°, oriented along the xx, yy and zz orthonormal axes whose faces or panels ( 2 ) are all equal and correspond to portions resulting from the intersection of the aforementioned cylinders.   
     
     
         2 . Inflatable ball ( 1 ) for footballing and recreational activities, according to  claim 1 , wherein said panels ( 2 ) are bounded by four edges ( 3 ) which, since they result from the intersection of three cylinders with equal diameter and orthonormal axes, correspond to portions of an ellipse, whose smaller axis is r, measuring 11 cm, and larger axis is r√2, a dimension between 15.55 cm and 15.56 cm. 
     
     
         3 . Inflatable ball ( 1 ) for footballing and recreational activities, according to the preceding claims, wherein said panels ( 2 ) correspond to doubly symmetrical plane geometric figures, both in relation to the segment nr/2 ( 5 ) and in relation to the segment r√2 ( 4 ). 
     
     
         4 . Inflatable ball ( 1 ) for footballing and recreational activities, according to the preceding claims, wherein said panels ( 2 ) contain four vertices, opposing to each other, two type (A) and two type (B). 
     
     
         5 . Inflatable ball ( 1 ) for footballing and recreational activities, according to the preceding claims, wherein each of said panels ( 2 ) has have an area between 160.70 cm 2  and 160.80 cm 2 , with a perimeter between 47.00 linear cm and 47.30 linear cm, making between 1928.40 cm 2  and 1929.60 cm 2  of material and between 2256.00 cm and 2270.40 cm of outline necessary for joining according to the vertices of each end of ellipse portion: (A) to (A) and (B) to (B). 
     
     
         6 . Inflatable ball ( 1 ) for footballing and recreational activities, according to the preceding claims, wherein said panels ( 2 ), correspond to the joining of four faces or panels ( 2 ) on vertex (A), with tessellation [4,4,4,4], and the joining of three faces or panels ( 2 ) on vertex (B), with tessellation [4,4,4]. 
     
     
         7 . Inflatable ball ( 1 ) for footballing and recreational activities, according to the preceding claims, wherein each edge ( 3 ) is delimited at 45°, with the least pronounced curve prevailing. 
     
     
         8 . Inflatable ball ( 1 ) for footballing and recreational activities, according to the preceding claims, wherein each edge ( 3 ) is supported on a vertex that corresponds to the ends of two orthogonal segments which intersect on its mid-point, where the first ( 4 ) measures r√2, a dimension between 15.55 cm and 15.56 era, and the second ( 5 ), given by the unrolling of the circumference portion, measures nr/2, a dimension between 17.27 cm and 17.28 cm, after the surface development of each panel. 
     
     
         9 . Inflatable ball ( 1 ) for footballing and recreational activities, according to the preceding claims, wherein each edge ( 3 ) corresponds to a portion of an ellipse that is supported on two vertices, where the end of the ellipse portion corresponding; to the point above the smaller axis is supported on the vertex (A) of the segment nr/2 ( 5 ), and the end of the ellipse sectioned by the planes at 45° corresponds to the vertex (B) of the segment r√2 ( 4 ). 
     
     
         10 . Inflatable ball ( 1 ) for footballing and recreational activities, according to the preceding claims, wherein each edge ( 3 ) is between 11.80 cm and 11.85 cm long, and when joined two by two they yield a stitched area of 283.20 cm to 283.40 cm, which joins all the panels ( 2 ).