His first commissioned works were three figurative sculptures in black walnut for Cincinnati businessman Joe David who owned Midwest Woodworking company.
[3] Although Longhurst's career began with figurative works, it soon evolved into non-representational abstraction in exotic woods, marble and granite that draws on his background in Architecture.
Many of his pieces are defined as being at the intersection of where the fields of art and math overlap, and they have been discussed by mathematicians such as Nathaniel Friedman, Reuben Hersh, and Ivars Peterson.
[4][5][6][7] Some of his sculptures portray minimal surfaces, which were named after German geometer Alfred Enneper.
Two of his sculptures representing minimal surfaces were enlarged and carved from blocks of snow measuring 12' high x 10' wide x 10' deep.