Stanko Bilinski (22 April 1909 in

Našice Našice () is a town in eastern Croatia, located on the northern slopes of the Krndija mountain in eastern Slavonia, 51 km southwest of regional hub Osijek. Administratively it belongs to Osijek-Baranja County. Geography Našice is located ...

– 6 April 1998 in

Zagreb Zagreb ( , , , ) is the capital (political), capital and List of cities and towns in Croatia#List of cities and towns, largest city of Croatia. It is in the Northern Croatia, northwest of the country, along the Sava river, at the southern slop ...

) 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 The Croatian Academy of Sciences and Arts ( la, Academia Scientiarum et Artium Croatica, hr, Hrvatska akademija znanosti i umjetnosti, abbrev. HAZU) is the national academy of Croatia. HAZU was founded under patronage of the Croatian bishop Jo ...

. 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 dodecahedro ...

of the second kind, the

Bilinski dodecahedron In geometry, the Bilinski dodecahedron is a Convex set, convex polyhedron with twelve Congruence (geometry), congruent golden rhombus faces. It has the same topology but a different geometry than the face-transitive rhombic dodecahedron. It is a ...

. 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. The ...

sides, but they are differently shaped and arranged. Bilinski's discovery corrected a 75-year-old omission in

Evgraf Fedorov Evgraf Stepanovich Fedorov (russian: Евгра́ф Степа́нович Фёдоров, – 21 May 1919) was a Russian mathematician, crystallographer and mineralogist. Fedorov was born in the Russian city of Orenburg. His father was a top ...

's classification of convex polyhedra with congruent rhombic faces..

References

Further reading