It's a bit of a gray area. Fan fiction usually allows for creative exploration. However, in the case of Jodi Arias, her actions were so extreme that creating fictional stories around her might be offensive to the victims' families. It really depends on how the fan fiction is written and what its purpose is. If it's used to understand the psychological aspects of such a case without downplaying the crime, it might be more acceptable.
There are several factors that made Jodi Arias' case so notorious. Firstly, the sheer brutality of the crime she committed against Travis Alexander. The way she ended his life was extremely violent. Secondly, her behavior during the trial was very strange. She gave multiple different versions of what happened, from complete denial to claiming self - defense. This made the case very hard to follow in a way. Also, the media coverage was extensive. The public was both horrified and fascinated by the case, which contributed to its notoriety.
Jodi Arias' first story was a false narrative. She told the authorities that she was acting in self - defense when she killed Travis Alexander. In her initial account, she tried to paint a picture where she was the victim. But the forensic evidence told a different story. The extensive and brutal nature of the injuries inflicted on Travis did not support her claim of self - defense. There were also inconsistencies in her timeline of events as she described them in her first story. All in all, her first story was a blatant attempt to avoid taking responsibility for her premeditated actions.
Jodi Arias was convicted of murder. Behind bars, she has become a somewhat notorious figure. Her story involves a complex web of relationships and a violent crime. She has been in the spotlight due to the heinous nature of her crime, and her time in prison is marked by her attempts to deal with the consequences of her actions, including her appeals and the public's continued interest in her case.