These are the relevant references from the Books where Cat's Cradle is mentioned.
I make no pronouncements on these matters, but report them as I find them.
Arrive at your own conclusions.
I wish you well,
Soon we were all laughing with her. Several of the girls began to sing. My sense of pleasure returned. I raced Inge to the end of the compound and back, and beat her. Some of the girls began to play tag, and games. Even some of the northern girls joined with us. We had a cloth ball, stuffed with rags, and, laughing, we threw this about. Some of the girls sat in circles, telling stories. Others faced one another, kneeling, and, with string and their fingers, played an intricate cat's-cradle game. Others played "Stones," where one player guesses the number of stones held in the other's hand. I tried the cat's-cradle game but I could not play it. I always became confused, trying to copy the intricate patterns. How beautifully they would suddenly, in all their complexity, appear. The other girls laughed at my clumsiness. The northern girls, incidentally, were very skilled at this game. They could beat us all.
"It takes much practice," said Ute.
"There is nothing much else to do in the villages," said Lana, who refused to try the game.
Elsewhere two girls, sitting cross-legged, were playing a cat's-cradle game, matching one another's intricate patterns with the twine. They were skillful. This game is popular in the north, particularly in the villages. It is also played frequently in Torvaldsland.
In another place several women sat on a fur blanket playing a cat's cradle game. They were quite skilled. This game is generally popular in the Gorean north. It is played not only by the red hunters, but in Hunjer and Skjern, and in Torvaldsland, and as far south as the villages in the valley of the Laurius.