This work studies the intersection of chromatics, mathematical algorithms, and innovative concepts such as grammatical geometry. Analyzes the impact of colors on language perception and introduces original mathematical formulas, extracted from the definitions of grammatical concepts, providing a deep and authentic approach to the study of language, which allows for a more precise interpretation of grammatical rules, thus facilitating systematic learning of the language. The concept of grammatical geometry, proposed in the pages of this book, opens new horizons in understanding the relationships between the elements of a sentence and how they interact. This geometry is not limited to visual representations but offers a solid theoretical framework for analyzing linguistic structures from various and multidimensional perspectives. Another remarkable aspect of this work is the presentation of the first chromatic map of grammar, which illustrates how different shades of colors can correspond to different grammatical functions and concepts. This map not only enriches the perspective on learning grammar but also serves as an innovative visual tool that helps associate colors with certain linguistic structures, thus facilitating the process of memorization and understanding. Due to the correlation of these four fields – algorithms, grammar, mathematics, and chromatics – the formula of metamorphosis has been identified, a new formula with potential applicability in other fields such as psychology, art, design, medicine, geology, biology, etc. This formula opens new perspectives for interdisciplinary explorations, contributing to a deeper understanding of the interaction between language and perception in various contexts, as well as within any discipline that generates the idea of metamorphosis.