Merkel and her CDU/CSU appear to have won a plurality in Germany's federal election. The SPD say they won't enter in a grand coalition which means that the most viable option is a coalition between CDU/CSU (conservative), the FDP (classical liberalism) and the Greens. Any other combination excluding the SPD would not have a majority in the Bundestag.
AFD have won seats for the first time, with a share of the vote of up to 40% in east German districts, meaning that it's the first time since 1945 a "far-right" party has held seats.
"Far-right" is the appellation ascribed to them by the BBC but they don't offer the same appellation to UKIP, their Anglo-Saxon equivalents. The "true" neo-Nazi party in Germany, if such a thing is to be gazzetted, is the NPD (no seats) but the AFD is a few notches short of them. Still a worry for some that they have taken the votes of disillusioned CDU/CSU and SPD voters, as well as anybody who generally hates Merkel and sees her as an immigration enabler.