Copied from: http://firstworldfeminism.tumblr.com/post/105590767098/rose-reasoning
As you can see from this beautiful picture;
A rose is a wave where the curve loops away from the origin of the graph, before passing back through and continuing with the same process until the shape is eventually closed off by meeting up with the starting point, where it would be tracing over the existing shape if continued.
The many segments of the rose will typically meet and overlap at the same point, resembling the petals of a flower.
Rose reasoning is an expansion of circular reasoning, that the argument will always be on an infinite loop as the defendant won’t properly justify their stance, thus the argument cannot rationally conclude.
No matter how many arguments you make, they respond with the same illogical point and you return to square one. Each argument is represented by the curve of a petal, with the point of origin of the rose being their response.