Symmetrical pattern

The basic cell is given. Use only 2-fold symmetry (reflect about point [icon]/images/ggb/toolbar/mode_midpoint.png[/icon]) for symmetrical pavement.
Task 1
Fill the whole graphics window by using the images of basic cell in reflection about some point.
Is it possible to construct connected pavement area by using only the original cell without compounding of different 2-fold symmetry?
Taks 2
Find the largest connected pavement by using the images in reflection about two points S1 and S2.
Find (x, y) coordinates of center points of pavement symmetry.
This material is included in the GeoGebra book [url=https://www.geogebra.org/m/pzb5mfku]Symetrie ornamentu[/url] (in Czech).
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