An eodermdrome is a form of word play wherein a word (or phrase) is formed from a set of letters (or words) in such a way that it has a non-planar spelling net. The eodermdrome was conceived and described by Gary S. Bloom, John W. Kennedy, and Peter J. Wexler in Word Ways: The Journal of Recreational Linguistics in 1980.
It is well illustrated by the word eodermdrome itself. Eodermdrome contains only the letters e, o, d, r and m. When plotted as a graph, the lettered vertices are sequentially connected by edges to spell a word. If the graph is non-planar, the word is an eodermdrome. The graph of eodermdrome is the non-planar graph K5.
Eckler searched for all eodermdromes in Webster's Dictionary. One of his examples is supersaturates. The graph of the complete word contains a subgraph which is a subdivision of the non-planar graph K3,3, and as such is itself non-planar.
By extension, the vertices can be identified with words instead of letters to form eodermdromic phrases or sentences.
The concept has been studied within both mathematics and linguistics.