In the 19th century, Bernard Violle gave a comprehensive treatment of magic squares in his three volume "Traité complet des carrés magiques" (1837–1838), which also described magic cubes, parallelograms, parallelopipeds, and circles. Pandiagonal squares were extensively studied by Andrew Hollingworth Frost, who learned it while in the town of Nasik, India, (thus calling them Nasik squares) in a series of articles: "On the knight's path" (1877), "On the General Properties of Nasik Squares" (1878), "On the General Properties of Nasik Cubes" (1878), "On the construction of Nasik Squares of any order" (1896). He showed that it is impossible to have normal singly-even pandiagonal magic square. Frederick A.P. Barnard constructed inlaid magic squares and other three dimensional magic figures like magic spheres and magic cylinders in "Theory of magic squares and of magic cubes" (1888). In 1897, Emroy McClintock published "On the most perfect form of magic squares", coining the words "pandiagonal square" and "most perfect square", which had previously been referred to as perfect, or diabolic, or Nasik.