How did cake and ice cream become a birthday requirement?

Love them both, just curious.How did cake and ice cream become a birthday requirement?
Some historians think that the custom of the birthday cake was observed in ancient Greece, and they report that the birthday cake began with the Greeks who used to make honey cakes or bread. Ancient Romans celebrated three different types of birthdays: Private celebrations among family and friends, the birthdays of cities and temples, and the birthdays of past and present emperors or members of the imperial family. The 50th year was celebrated with a honey cake made of wheat flour, grated cheese, honey, and olive oil.





Others contend that the Birthday Cake tradition was started in Germany in the Middle Ages where a sweetened bread dough was made in the shape of the baby Jesus in swaddling clothes and were used to commemorate his birthday. The Birthday Cake later re-emerged in Germany as a kinderfest, or a birthday celebration for a young child.





In England, birthday cakes are baked with symbolic objects inside. In medieval times, objects such as coins and thimbles were mixed into the batter. People believed that the person who got the coin would be wealthy, while the unlucky finder of the thimble would never marry. Today, small figures, fake coins and small candies are more common.





Birthday candles originally were placed on cakes to bring birthday wishes up to God. In ancient times, people prayed over the flames of an open fire. They believed that the smoke carried their thoughts up to the gods. Today, we believe, that if you blow out all your candles in one breath, your wish will come true.





The ice cream came later I guess!