Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem I. 116. (November 2005)

I. 116. Regular triangular or hexagonal tiling of surfaces is a characteristic feature of Arabic ornaments.

Using the program Comenius Logo, PC Logo or NetLogo, prepare a tiling of a rectangle with two-coloured tiles seen in the figure. The size of the rectangle is specified by the number of tiles in the first row, and the number of rows. (Every second row contains one less tile!) Further parameters of the program are the two colours and the circumradius of the hexagonal base tile.

The final Logo project (i116.lgp) should be submitted containing a procedure tiling. Its 5 parameters, in order, are the radius, the first and second colour, and the number of columns and rows.

(10 pont)

Deadline expired on December 15, 2005.

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

Megoldás: Az általánosan használt ciklusok helyett rekurzív eljárással.

### Statistics:

 16 students sent a solution. 10 points: Czigler András, Gilián Zoltán, Gombos Gergely, Györök Péter, Kiss Dániel Miklós, Kovács 129 Péter, Ökrös Tamás, Szoldatics András. 9 points: Fábián András, Ócsvári Ádám, Ozsvárt László, Véges Márton, Vincze János. 8 points: 2 students. 0 point: 1 student.

Problems in Information Technology of KöMaL, November 2005