Although Silver, Blaze and Amy are featured as a trio in promotional artwork of Sonic the Hedgehog (2006), there is never a moment in the game where all three characters appear together. In fact, Blaze and Amy never meet each other in the game, and the two are only shown to be friends in other games and the Archie Comics in situations where Silver is absent.
Silver, Blaze and Amy all appear together near the end of Sonic Generations alongside many other friends of Sonic, although the three are not featured as a trio. They also appear as playable characters in the Mario & Sonic series, where it is possible to form a team consisting of the three alongside a fourth character.
All 3 have had associations with Vector in spin-off games. In Sonic Free Riders, Vector appears as the third member of Team Rose alongside Amy and Cream, and in Team Sonic Racing, Silver and Blaze are members of Team Vector.
In an off-panel in Sonic Universe #58, Marine writes a fanfiction of Silver and Blaze. However, Blaze dislikes it and burns it. Amy, however, notes that the guy seems handsome.
The polyship is not very popular, as polyships in general are not very common. It is a combination of the more popular ships Silvaze, Silvamy and Blazamy. On DeviantArt, the ship was started by Alexandrite-the-Lynx, who made artwork of the three together.