Английская Википедия:Herzberger Quader
The Herzberger Quader is a solid dissection puzzle invented by German mathematics teacher Gerhard Schulze.[1] It was named after his home-town Herzberg, and Quader is the latin-derived German word for a rectangular cuboid.
Design
The Herzberger Quader consists of a set of all possible polycubes from dicube to tetracubes.[2] The eleven pieces together have 40 unit cubes and thus can be stored into a 2 × 4 × 5 box.[2]
Possible problems
Besides stowing the Herzberger Quader in its box there are a lot of figures that can be built using all parts. Various subsets can be used to form a 3 × 3 × 3 cube, one of them is the famous Soma cube.[2]
Much more demanding tasks ask for the number of all different possibilities to arrange the initial parts in a certain figure. Or proofs are to be given for which figures can be realized or not realized with which polycubes.[2]
History
Author of the Herzberger Quader is Oberstudienrat Gerhard Schulze (1919–1995), who was intensively engaged in mathematical games during his extracurricular activities in the years 1982–1994.[3] On the occasion of the 800th anniversary of his hometown Herzberg in 1984, the Herzberger Quader was produced for the first time and thus made known to a broad public. Today, the Herzberger Quader is suggested to be used in the context of mathematics education.[4][5]
References
