Stacked Wooden Tritans and Tetratans
To increase the stability of the constructions I cut and glued pieces from MDF with 1cm thickness and a grid size of 3cm.
Then I colored the pieces according to their properties
Property of Pieces
Color of Pieces
Two tans in each layer
Rectangular trapezium in bottom layer
Three tans in one layer, but no rectangular trapezium
Only three tans
Now it was easy to identify the pieces, but even with the layers printed by the computer it took me about half an hour to finish a construction.
Be aware! Colors in the computer solution don't match the colors of the real pieces.
Especially I like the two constructions with rotational symmetry. I think the splitting plane between the two halfs can be seen even in the picture.
The next pictures show how two congruent trapeziums can be combined for different figures.
At last I'd like to show you different kind of symmetries. The tower with rotational symmetry has two parts with rotated grid structure. The layers for the tower are