Lyttle and several others walked from San Francisco to New York City, and then through parts of Europe to Moscow, Russia, from December 1960 until late 1961.
[5] Among his theoretical works are a 1958 pamphlet presenting the case for nonviolent national defense against aggression; and a mathematical formula called "The Apocalypse Equation", which argues that, over time, the probability of nuclear missiles being used approaches 100%.
"[7] In Note 21 to his Presidential Address to the American Statistical Association published in 1988, University of Chicago Statistics Professor William Kruskal mentions Lyttle's "Apocalypse Equation" as an example of the error of casually assuming the independence of events when calculating the probability of a resultant event over time, as an example which "stretches to the limit … the appropriateness of probabilistic data.
In 2008, Lyttle came in second to last of 16 candidates in Colorado, for which he received 110 votes, beating only Gene Amondson of the Prohibition Party.
In 1996, Lyttle, Civil Rights Movement historian Randy Kryn, David Dellinger, and Abbie Hoffman's son, Andrew, were among eleven people arrested for a sit-in at the Chicago Federal Building during the first Democratic National Convention held in Chicago since 1968.