Brief accounts of plane dissections are found in several books on mathematical recreations. For more detailed discussion, see:
Frederickson, Greg N., Dissections Plane and Fancy. Cambridge: Cambridge University Press, 1997.
Frederickson, Greg N., Hinged Dissections: Swinging and Twisting, Cambridge: Cambridge University Press, 2002.
Frederickson, Greg N., Ernest Irving Freese's "Geometric Transformations": The Man, The Manuscript, The Magnificent Dissections! Singapore: World Scientific Publishing Company, 2017. This volume is primarily about a contemporary of Wheeler but contains considerable historical background.