In this history cycles study, I focus on America's history of activist and terrorist events, from English and Colonial times, to the Present. The issues or causes or politics of the activist and terrorist events, even the sometimes off shore origins, are not discussed...they are here not relevant in this study, the 'ebb and flow' is. My view is that activism and terrorist acts are not caused solely by the religious, political, national, or economic and social issues and stresses, but occur in regular 'ebbs and flows' of this kind of human energy, in cycles. These cycles do change in span or length over time, but do so 'harmonically'. They are what I have termed and defined as 'time fractuals'. This study proves my hypothesis of cycles in this activity, just as my cycles study in America's 'War and Peace' history does so also. Not by my words to convince you, but by the actual cycle charts to show you, using four centuries of history as Data.