Here is what we know about the attacks:
- July 24, 2016: Festival suicide bombing -
A failed Syrian asylum seeker set off an explosive device near an open-air music festival in the southern city of Ansbach that killed himself and wounded a dozen others.
The 27-year-old had spent time in a psychiatric facility, while the regional authorities said an there was "likely" a jihadist motive for the attack.
However a spokesman for the interior ministry later said there was as yet "no credible evidence" of a link to Islamic extremism.
- July 24, 2016: Knife attack -
A Syrian refugee was arrested after killing a Polish woman with a large kebab knife at a snack bar in the southwestern city of Reutlingen, in an incident police said did not bear the hallmarks of a "terrorist attack" and was more likely a crime of passion.
Three people were also injured in the assault, which ended when the 21-year-old assailant was deliberately struck by a BMW driver, believed to be the snack bar owner's son, trying to stop the man.
- July 22, 2016: Munich mall mass shooting -
David Ali Sonboly, 18, shot dead nine people at a Munich shopping mall before turning the gun on himself, having spent a year planning the rampage.
Police said that the German-Iranian was "obsessed" with mass killers like Norwegian right-wing fanatic Anders Behring Breivik and had no links to the Islamic State group.
- July 18, 2016: Train axe attack -
A 17-year-old migrant wielding an axe and a knife went on a rampage on a regional train, seriously injuring four members of a tourist family from Hong Kong and a German passer-by.
The Islamic State group subsequently released a video purportedly featuring the assailant, named by media as Riaz Khan Ahmadzai, announcing he would carry out an "operation" in Germany, and presenting himself as a "soldier of the caliphate".
He is believed to have been Afghan or Pakistani.
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