Hex P & Heart

Introduction

The goal of this puzzle is to pack all eight identical tetrahex (4 hexagon cells) "P" pieces into a heart-shaped frame. Inside the heart frame, there is a small heart island and all the tetrahex P pieces must fill around it. This puzzle is a combination of loose-packing puzzle and replication puzzle.

Each tetrahex P has two sides:

Each tetrahex P piece has two side, P side at left, and Q side at right darkened by engraving

All eight tetrahex pieces have dark engraving on their Q sides, while their P side remain original wood color. The laser cut and assembled ready-to-play puzzle is shown below (showing 4 piece in P side and 4 pieces in Q side). Please note the assembly requires gluing of the heart frame and also the small heart island onto the base board at specified location. The assembled board has a cutout region at lower right corner for storing one P piece only for storage purpose, if you do not want to store it at solution stage.

As you can see in above picture, clues are given inside the heart-shaped frame. There are a total of 4 solutions for this puzzle, with following combination of sides:

1. 4 dark + 4 white (original wood) - 2 solutions
2. 3 dark + 5 white (original wood) - 1 solution
3. 5 dark + 3 white (original wood ) - 1 solution.  this is the reflection of #2 above.

Other combination of dark/white will not yield solution.

SVG file available at ATOMM and MakerWorld