Explicit Three- and Four-Color Prismatic T-Tetrominoes

We give explicit three- and four-color de Bruijn colorings of T-tetromino ziggurats. The colorings have respectively 100 and 289 cells, and their 81 and 256 translated T-windows realize every ordered color pattern exactly once. The known density theorem implies that both colorings are prismatic. The established row-shift correspondence gives L-tetromino colorings with the same parameters. We also exhibit 60 distinct labeled three-color colorings. The complete color tables, machine-readable certificates, and verification programs are supplied. Verification includes an independent row-transfer computation of the known binary count of 168. These finite results leave the five-color case and a construction for general color number unsettled. The record includes the preprint PDF, LaTeX source, explicit certificates, inverse pattern tables, and Python verification and enumeration programs using only the standard library. Substantial assistance from OpenAI Codex was used in the research and preparation of the manuscript and programs, as disclosed in the manuscript. The author independently checked the main certificates using a separately written coordinate-based checker. Licenses: The manuscript (PDF and LaTeX), documentation, and certificate data are licensed under CC BY 4.0. Python source files are licensed under the MIT License. These licenses apply to the respective file categories, as detailed in LICENSE_SCOPE.txt inside the archive.