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
Height=4
black
Height=3
brown
Two tans in each layer
blue
Rectangular trapezium in bottom layer
magenta
Three tans in one layer, but no rectangular trapezium
yellow
Height=1
green
Only three tans
red
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 here .
