Sliced Dice Soma Puzzle

Description

This is a more complex dice cube puzzle - can you build a model of a dice using the puzzle pieces?

The seven-pieces make a Soma Cube, which has 240 possible combinations to form a cube, but by placing the pips is there only one solution to make a valid dice?

The pieces are a combination of six Tetracubes and a Tricube.  This gives 6 x 4 + 1 x 3 = 27, which equals the 3 x 3 x 3 = 27 cube.

A twist on the regular Soma Cube, which doesn't have the pips. I've made a model that you can find here:

https://www.printables.com/model/843280-soma-cube-puzzle

What to print:

One of each shape:

1 x Sliced Dice Soma  - B Shape.stl

1 x Sliced Dice Soma - D Shape.stl

1 x Sliced Dice Soma  - F Shape.stl

1 x Sliced Dice Soma  - L Shape.stl

1 x Sliced Dice Soma  - S Shape.stl

1 x Sliced Dice Soma  - T Shape.stl

1 x Sliced Dice Soma  - V Shape.stl

Optional:
21 x Sliced Dice Soma (Optional - Pips).stl, for pips press in or glue into the cavity to make a realistic looking dice

1 x Cube Board 3x3.stl, a base for for the completed puzzle to be displayed on

The models do not need supports and can be printed with standard settings.

For compatibility with all of my other models, print a 100% scale.  If you scale any model, please remember the scaling factor and apply it to all models if you'd like them to be compatible.

Use multiple colours so that they can be distinguished or use a single colour for even more of a challenge (and print in one go).

How To Play:

Rotate and stack the pieces to form a 3x3x3 cube that resembles a dice.

Have fun and see if you can solve it!