On all tiles the decorative lines intersect in the midpoint of the sides with angles of 72° and 108°. That's why all lines continue straight on over the tiles when you match two girih tiles. Since all sides of all sides are equal you've got many ways to match them.[br]In the applet below you can drag the tiles and with the green points you can rotate them around the black points.

On [url=https://girihdesigner.com]https://girihdesigner.com[/url] you can experiment with girih tiles to create patterns.[br]Or you can download next pdf-document and cut out the tiles to experiment yourself with matching possibilities.