Nonplanar

Describing something that is not flat or does not lie within a single plane. This can refer to three-dimensional structures, objects, or arrangements that exhibit a curvature, torsion, or any other deviation from a perfectly flat surface. In geometry and related fields, "nonplanar" often pertains to molecules, surfaces, or systems where the atoms or components are not arranged in a two-dimensional, flat configuration. The concept extends to abstract notions of interconnectedness and dimensionality where the presence of three-dimensional complexities is the prevailing characteristic, representing a departure from simplistic linear or surface-level attributes.

Nonplanar meaning with examples

• The complex folding of the protein molecule rendered its structure decidedly nonplanar. Researchers analyzed the intricate bends and twists, confirming that the amino acid chains didn't lie on a single flat surface. Understanding this nonplanar conformation was critical to understanding the protein's biological function, as its three-dimensional shape dictates how it interacts with other molecules in the cell.
• Modern skyscrapers, with their twisting designs and varied facades, present a nonplanar aesthetic. Architects are increasingly using software to design buildings that break the constraints of traditional flat surfaces. This leads to striking visual effects, incorporating curves, angles, and jutting elements that define the building in a three-dimensional space, rather than just a two-dimensional elevation.
• In the realm of graph theory, certain network structures become nonplanar when the edges intersect within the graph. An analysis of the nonplanar connections reveals underlying complexity within social networks or complex datasets. Identifying the crossing edges highlights the importance of relationships, forming the foundation for understanding the system’s organization.
• The crumpled piece of paper became nonplanar. Its initial flat surface was transformed by creases, folds, and bulges. The resulting shape highlighted the impact that pressure had on its composition. Examining the paper's nonplanar form provided information about the intensity and direction of the forces applied.
• The artist utilized a series of interconnected, angled mirrors to create a nonplanar, distorted reflection of the environment. These mirrored structures transformed the viewer's perception of space and perspective, where flat surfaces were warped, creating three-dimensional illusions. The overall effect presented a unique and dynamic experience that would be impossible with planar arrangements.