Yes, it does exist. The 119 move Puzzle Box made by Okiyama-san.
The ultimate traditional puzzle box.
This puzzle box comes wrapped in a traditional Japanese gift cloth inside this kisaya
yosegi presentation case.
This kisaya case itself comes wrapped in another traditional
Japanese gift cloth, and is packed in a pressboard gift box.
Below is the certificate of authenticity and solution diagram.
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“A mechanical puzzle is a self-contained object, composed
of one or more parts, which involves a problem for one person to solve by manipulation
using logic, reasoning, insight, luck, and/or dexterity.” - Jerry Slocum
