"Jabulani polyhedron" is a term introduced here to refer to the polyhedron illustrated above which underlies the shape of the soccer
ball used in the 2010 World Cup in South Africa. It can be constructed by truncation
of a truncated tetrahedron by cutting the
corners of its hexagons with oblique planes to form regular
nonagons and the corners of its triangles to form regular
hexagons (Kuchel 2012). It is implemented in the Wolfram
Language as PolyhedronData["JabulaniPolyhedron"].

Here, 'Jabulani' is the name given to the ball by its manufacturer, Adidas, which means "celebrate' in the Zulu language. The ball was featured on the cover of
Volume 96, Issue 536 of The Mathematical Gazette, accompanying the analysis
of its underlying polyhedron by Kuchel (2012).

The Jabulani polyhedron has 36 vertices, 20 faces (consisting of 12 trapezoids, 4 regular hexagons, and 4 regular
nonagons), and 54 edges (6 of which are short and 48 of which are long, with
length ratio ).
Here, the ratio of long to short edge length is given by

(1)

(2)

As seen in the net and further demonstrated above, the trapezoids are connected in pairs along their short edges, which provide the 6 short edges of the solid. If the
short edges of the trapezoids are taken to have unity edge lengths, the trapezoids
have base and side lengths and base angle