Architectural composition is a core part of architectural theory and practice, referring to the establishment of visual order and the formal structure of elements within a design project. The theory of composition, based on rhythm, contrast, harmony, symmetry, and balance, was established in classical antiquity, developed through the Renaissance, and it remained largely unchanged until the late twentieth century. With the advent of complexity science and digital technologies, mathematics and biologically inspired algorithms began to influence architecture. This shift fundamentally altered design methodology, leading to new approaches and the emergence of algorithmic-aided design (AAD). In this context, form is not simply arranged but computed; it evolves through parameters, iterative rules, and relational systems that respond to contextual, material, and environmental variables. These approaches introduced concepts such as gradient, porosity, branching, randomness, attractors, and vector fields, now commonly used to describe geometric, spatial, and material patterns of organization. No longer marginal metaphors, these terms have become operative tools within computational workflows, contributing to both aesthetic expression and performance logic. The aim of this paper is to provide a systematic overview of these strategies and terms and to reflect on how digital tools are reshaping the epistemological foundations of architectural thought. Each concept is examined through a layered analysis—from its mathematical or natural origin, through its rare or symbolic presence in predigital architecture, to its deliberate and systematized use in contemporary design.