In Chinese checkers the board is built up like a 6-pointed star:

Each of the triangular 'flames' has 10 holes (= 1 + 2 + 3 + 4). Together there are 6 * 10 = 60 holes around the central hexagon.

The central hexagon has 61 holes, astoundingly not 60.

In a way it is as if the creator of the E calendar had seen this picture. But Chinese checkers was not invented until much later.

The 6 'flames' are similar to the 6 times 60 days necessary to reach 360 days for a year, while 61 is the mirror image with one additional hole in the center, the germ of next year carried in the middle as if the embryo to a new ‘world’.