IPT 2018 IPT connect | IPT 2018 Physics Fights Ranking Problems Participants Jury members

3. Ink tree

When a drop of ink is injected inside especially still water, or dropped very close to its surface, it firstly forms a ring of ink which then divides into smaller rings (video on IPT website). The process repeats again and again and forms a tree-like structure of ink. What is the maximal number of ring divisions that one can see and how does it depend on the important parameters?

Report Opposition Review
Brazil

8.00

China

4.40

Colombia

6.00

Croatia

5.60

Denmark

6.40

France

7.60

Germany

5.80

Greece

6.60

7.20

Poland

5.20

6.80

Russia

8.20

Sweden

6.40

6.80

7.80

Switzerland

8.40

Ukraine

8.40

7.40

MEAN

6.80

7.20

6.50