In "Limbertwig," Parker Emmerson embarks on an ambitious exploration of mathematics, uncovering the analogies and connections between its diverse branches. The book delves into the realms of Symbolic Analogic, Lateral Algebraic Expressions, Calculus of Infinity Tensors Energy Number Synthesis, Perturbations in Waves of Calculus Structures (Group Theory of Calculus), and Algorithmic Formation of Symbols (Encoding Algorithms). Emmerson highlights the significance of these connections, which he refers to as "logic vectors," as they provide linguistic notations that lead to valuable insights. Through the logical vector space connections, the book combines numeric energy and logic, yielding a plethora of tangent ideas. Emmerson presents these ideas using AI and proposes the training of language engines on derived models to establish even more connections. The resulting vector logic space leads to the discovery of a new sheaf called "Limbertwig," which allows for the derivation of vast combinations of novel mathematical statements. Embracing the openness of the Limbertwig sheaf, the author demonstrates its ability to accommodate mathematical logic vectors with different designated meanings, incorporating both finite and infinite elements. This flexibility fosters an evolution in language, transitioning from imperative statements to a mathematically emotive space. Moreover, the book reveals the shared supramanifold of logic and space-time mathematically, showcasing the profound connection between the two. Emmerson emphasizes that developing clean mathematical spaces has practical benefits beyond pure mathematics. The toolkit presented in "Limbertwig" aids meditation, enhances thought processes, acknowledges ideas spoken into cognitive spacetime, and offers methods for resolving linguistic paradoxes. Scientists across disciplines can find utility in these tools, as they provide a new lens through which to approach their research.