Problem K. 735. (October 2022)

K. 735. Logic blocks were developed by Zoltán Dienes. Peter takes all the red and green disks and squares out of a set of blocks, altogether 16 pieces. No two pieces are identical, and they can be classified into two groups having the same number of elements according to each of the following properties:

– either small or large,

– either red or green,

– either a disk or a square,

– either hollow or not.

Can Peter place the 16 blocks along the perimeter of a circle such that any two neighbors have exactly one of the above properties in common?

(5 pont)

Deadline expired on November 10, 2022.

Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Igen, például így:

Statistics:

77 students sent a solution.
5 points:	Bartusková Viktória, Bereczki Szabolcs Márton , Bodor Csanád, Budai Máté, Csikai Anna Alida, Csóri Zsombor, Ébner Jakab, Eőry Sára , Farkas Máté, Forrai Boldizsár, Gárdi Bonifác István, Gyukity Milán, Horváth Imre, Horváth Máté Kristóf, Incze-Nagy Enéh, Juhász Jázmin Izabella, Kanalas Patrik, Kókai Ákos, Komlósdi Sára, Kökény Kristóf, Magyar Mihály, Mann Elinor, Móricz Zsombor, Nagy Ádám 699, Papp Nóra, Sipos Márton, Som Dóra, Stingli Zsuzsanna, Szabó 926 Bálint, Szabó 926 Bence, Szabó Dániel György, Szakács Bence Mihály, Szeszler Móric, Sziszkosz Zsófia, Takács Boglárka, Tóth 207 Bence, Török Szilárd.
3 points:	10 students.
2 points:	1 student.
1 point:	14 students.
0 point:	1 student.
Unfair, not evaluated:	10 solutionss.
Not shown because of missing birth date or parental permission:	4 solutions.

Problems in Mathematics of KöMaL, October 2022