Mathematical exploration
of the Vichten Roman Mosaic

Vichten mosaic

The mosaic is on display at the Musée National d'Histoire et d’Art Luxembourg (MNHA).

Look here for a picture.

What do you see, mathematically?

You should abstract from the artistic details and the thick frames. Just consider the mathematical plane shapes that form the central part of the mosaic.

Regular octagons, half square triangles, squares, pentagons (that are squares with a broken corner), eight-pointed star,...
Comment: The question "Which polygons do you see?" allows for different answers. Some may choose to list only the smallest figures (the disjoint pieces).

Rotational symmetry (90 degrees), two perpendicular symmetry axes, central symmetry.


Comment: Drawing an exact picture by hand requires some mathematical considerations and possibly some computations.

hearts at the corner

Comment: There are four (edgy) hearts at the four corners.

Shapes and size

Look here for the mathematical representation of the central part of the mosaic.
regular octagon octagon

In the former octagon you don't have a regular grid. In the latter octagon you break larger square corners.

Further explorations/Oncoming