The Friendship Medals

https://en.wikipedia.org/wiki/File:Nishida-Oe_medal.jpg

At the 1936 Olympics, Japanese pole vaulters Sueo Oe and Shuhei Nishida tied for second place, and the Japanese team were told to decide who should claim second place and who third.

After a long discussion, the team chose to favor Nishida, who had cleared 4.25 meters at his first attempt.

When they returned to Japan, Nishida and Oe had a jeweler cut each medal in half and then join the disparate halves, so that each man had a new medal, half silver and half bronze.