Hexagons is a puzzle and 1923 game (author unknown), published by Clement Toy Co.

The board is hexagonal and contains 18 pieces in the shape of a half hexagon.

The rules include a puzzle called Nine-Hex, which is a variation of puzzle of 15. The player positions the board in a starting configuration. The goal is to slide the half-hexagons until the starting position is reached again (rotations are not allowed). The text provides a notation describing various starting positions to be solved.

The game is called Hexagons and also starts with a starting position of puzzle (where the 5 piece is removed). The game can be won by cornering the opponent or by pairing the half hexes, but the ruleset seems not sufficiently explained.

Here are the rules pages (in English):

— John Neto