Prior to the collapse of the Soviet Union, the "Cold War" was a bit of a three ring circus.
Nixon supporters boasted of how Nixon "played the China card" against the Soviet Union. Before that, China and Russia put on the veneer of being allies. Yet, just beneath the surface, nationalistic considerations created severe tensions. In 1969, the correspondent Harrison Salisbury even wrote a book entitled War Between Russia and China in which he dwelled on the possibility of an eminent war between the two countries.
In the early years of the Chinese revolution, Mao was a bit of a puppet of the Soviet Union. As control over China was consolidated, Mao demonstrated increasing independence from the Soviet bloc. So much so that while most Communist movements throughout the world were sponsored by the Soviets, many leftists came to consider themselves Maoists. Mao was a prolific writer, so his stature among Communists came to rival Marx, Lenin, and Stalin.
If the past is any indication, I expect that future Sino-Russian relations will oscillate through time. Sometimes they will be allies, sometimes bitter foes, sometimes something in between. Some of that will depend upon whether they each view Europe and the United States and /or Europe as enemies, or merely economic rivals. That too may oscillate through time. Too me, it is obviously in everybody's interests to "just get along." Unfortunately there will probably always be hardliners who scoff at such sentiments as being hopelessly utopian. So humanity may very well end up choosing between "hopelessly utopian" ideals, or self-incineration. Welcome to our planet folks.