Nations Unitedadvanced series
This puzzle involves a little geometry as well as logic. Don’t worry: it’s very easy geometry.
The twelve numbers on a clock face are arranged in four equilateral triangles (e.g. 12, 4 and 8 form such a triangle) and also in three squares (e.g. 1, 4, 7 and 10 form a square). Each of the squares has exactly one number in common with each of the triangles, and every number is the common point of a square and triangle. I don’t know why I mention that: it’s just such a lovely observation of such a familiar thing.
Now, here’s a puzzle:
The United Nations Organization has been charged with the vital task of picking the World Dream Team to play Mars at football (that’s “soccer” to those of you from Unenlightened Parts). Undaunted by this task, the UN did what it does best: it appointed a committee to look into the matter.
The committee consists of delegates from twelve countries: Argentina, Brazil, China, Denmark, England, France, Germany, Hungary, Italy, Japan, Korea and Lithuania. They sit at a round table, with the meeting chair as it were at twelve o’clock and the others at one o’clock, two o’clock and so on round to the one at eleven o’clock which sits immediately to the chair’s right.
- The delegates from Italy, France and Germany, as you would expect, form an equilateral triangle. France is seated as far away from England as possible, and Argentina is also maximally separated from Brazil.
- The Brazilian sits two places to the right of the Korean. The Korean is not next to the German.
- The Chinese delegate has the Dane immediately to his right and the Hungarian immediately to his left.
- The Lithuanian and Japanese delegates are neighbours, and the square containing both Japan and Hungary intersects the equilateral triangle containing Lithuania at the seven o’clock position.
What is the complete seating plan?
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