The other samurai was the famous Miyamoto Musashi, and their duel is now represented by this impressive sculpture. Sasaki Kojirō is with his famous long sword Monohoshi Zao ("Laundry-Drying Pole"), while Musashi is with his equally famous bokken (wooden sword), sculpted (according to the legend) from an oar.
How the fight unfolded is not clear, there are many contradicting accounts and the truth is impossible to determine. According to the most popular version, Sasaki tried his renowned "swallow cut", but Musashi managed to hit him in the head with his huge bokken. However, there are many other versions to the story, and all that can be said for sure is that Musashi won the duel. However, I find it very interesting that... the island was named after Sasaki.
EXIF info:
Nikon Df
Lens: 24-70mm F/2.8G
Focal Length: 32mm
Aperture: F/5.6
Shutter Speed: 1/600s
ISO Sensitivity: ISO 1250