Stanko Bilinski (22 April 1909 in
Našice – 6 April 1998 in
Zagreb
Zagreb ( , , , ) is the capital and largest city of Croatia. It is in the northwest of the country, along the Sava river, at the southern slopes of the Medvednica mountain. Zagreb stands near the international border between Croatia and Sl ...
) was a Croatian mathematician and academician. He was a professor at the
University of Zagreb
The University of Zagreb ( hr, Sveučilište u Zagrebu, ; la, Universitas Studiorum Zagrabiensis) is the largest Croatian university and the oldest continuously operating university in the area covering Central Europe south of Vienna and all of ...
and a
fellow
A fellow is a concept whose exact meaning depends on context.
In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements.
Within the context of higher education ...
of the
Croatian Academy of Sciences and Arts.
In 1960, he discovered a
rhombic dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.
Properties
The rhombic dodecahed ...
of the second kind, the
Bilinski dodecahedron
In geometry, the Bilinski dodecahedron is a convex polyhedron with twelve congruent golden rhombus faces. It has the same topology but a different geometry than the face-transitive rhombic dodecahedron. It is a parallelohedron.
History
Th ...
. Like the standard rhombic dodecahedron, this convex polyhedron has 12 congruent
rhombus
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length. Th ...
sides, but they are differently shaped and arranged. Bilinski's discovery corrected a 75-year-old omission in
Evgraf Fedorov's classification of convex polyhedra with congruent rhombic faces.
[.]
References
Further reading
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1909 births
1998 deaths
Croatian mathematicians
Academic staff of the University of Zagreb
Members of the Croatian Academy of Sciences and Arts
20th-century Croatian mathematicians
People from Našice
Geometers
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