Extensive research and investigation culminated in 1941 with his first notebook Regular Division of the plane with Asymmetric congruent Polygons. This notebook was extended and improved over the course of the following year, when the results obtained from extensive colour based division investigations were included.
Malawak na pananaliksik at pagsiyasat culminated sa 1941 sa kanyang mga notebook unang Regular Division ng eroplano sa walang simetrya kapareho Polygons. Notebook na ito ay pinalawak at pinahusay na sa kurso ng mga sumusunod na mga taon, kapag ang mga resulta na nakuha mula sa malawak na kulay batay dibisyon pagsisiyasat ay kasama.