Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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Problem B. 4760. (January 2016)

B. 4760. Four regular dice of different colours are placed next to each other, as shown in the figure. In each step, two adjacent cubes (with a face in common) are turned through \(\displaystyle 90^\circ\) about the axis passing through the centre and perpendicular to the common face. How many different arrangements can be achieved with a sequence of such steps?

(6 pont)

Deadline expired on February 10, 2016.


34 students sent a solution.
6 points:Baran Zsuzsanna, Bukva Balázs, Döbröntei Dávid Bence, Gáspár Attila, Imolay András, Klász Viktória, Kovács 246 Benedek, Lajkó Kálmán, Molnár-Sáska Zoltán, Nagy Dávid Paszkál, Nagy Kartal, Szabó 417 Dávid, Tóth Viktor, Váli Benedek.
5 points:Hansel Soma, Szabó Kristóf.
4 points:3 students.
3 points:2 students.
2 points:2 students.
1 point:3 students.
0 point:8 students.

Problems in Mathematics of KöMaL, January 2016