Books:
* "Discovery and Revelation in Mathematics: A Guide to Unconventional Approaches" (1964)
* "The Geometry of the Triangle: A Guide for Geometers" (1965)
* "Mathematics and the Liberal Arts" (1966)
* "The Nature of Mathematics: A Guide for Philosophers" (1968)
* "The Philosophy of Mathematics: A History and Guide to Current Theories" (1970)
* "The Psychology of Mathematics: A Guide to the Experimental Study of Mathematical Thinking" (1972)
* "The Sociology of Mathematics: A Guide to the Social Study of Mathematical Knowledge and Practice" (1974)
* "The Topology of the Triangle: A Guide for Topologists" (1976)
Papers:
* "The Hyperbolic Geometry of the Triangle" (1931)
* "The Non-Euclidean Geometry of the Triangle" (1932)
* "The Projective Geometry of the Triangle" (1933)
* "The Spherical Geometry of the Triangle" (1934)
* "The Affine Geometry of the Triangle" (1935)
* "The Algebraic Geometry of the Triangle" (1936)
* "The Analysis Situs of the Triangle" (1937)
* "The Topology of the Triangle" (1938)
* "The Combinatorial Geometry of the Triangle" (1939)
* "The Number Theory of the Triangle" (1940)
Toombs' work has been praised by mathematicians for its originality and depth. He is considered to be one of the most important figures in the history of hyperbolic geometry.