Un-planar

Describing a surface, object, or concept that does not conform to a plane; lacking flatness or a uniform two-dimensional aspect. This can refer to physical objects with curves, warps, or irregularities, as well as abstract ideas or representations that deviate from a simple, linear, or easily visualized state. The term emphasizes the absence of planarity, suggesting complexity, distortion, or a non-standard configuration. It implies a deviation from a perfectly flat, two-dimensional surface, leading to a three-dimensional or more intricate form or understanding. The term can apply to physical surfaces, mathematical concepts, artistic representations, or conceptual frameworks.

Un-planar meaning with examples

• The sculptor crafted a series of un-planar sculptures from sheet metal, the metal folded and manipulated to create organic, flowing forms. Their surfaces rejected a flat profile, capturing light and shadow in surprising ways. Each piece, a complex interplay of curves and angles, defied simple visual comprehension, engaging viewers through the unexpected texture. The gallery display benefited from their unconventional geometry, transforming the exhibit space.
• The map of the terrain was decidedly un-planar, the contours of mountains and valleys representing drastic variations in height. To render it a planar flat surface was impossible because this would distort and hide the crucial topographical information. These 3D representations demanded advanced software capable of processing the un-planar data to give us the full perspective on how the terrain really looked.
• The artist's painting style evolved, moving towards an un-planar approach, embracing the imperfections of the canvas. This meant abandoning smooth blending and even application for a surface that displayed visible brushstrokes and varied textures. This departure created a dynamism in her pieces as they gave more than just a flat image. The artwork, once static, now had a lively complexity.
• In theoretical physics, the concept of spacetime is un-planar, as its curvature is influenced by gravity. Attempting to describe these forces using a planar model is not accurate. This un-planar geometry makes a mathematical description difficult, but necessary to understand the universe. Planar geometry, in contrast, could not fully encompass these complex interrelationships.
• The architect's design for the building incorporated an un-planar facade, with segments of the exterior protruding and receding. This unique approach avoided the monotony of a conventional, flat wall, creating dramatic light and shadow play. The un-planar surface resulted in unexpected viewing angles from different points in the city. This deviation from standard designs helped modernize the skyline and catch onlookers eyes.