黄金比例计算器
基于 φ = 1.618 计算完美分割尺寸
基于 φ = 1.618 计算完美分割尺寸
黄金比例 (Golden Ratio),又称黄金分割,是指一条线段被分为两部分,其中较大部分与整体之比等于较小部分与较大部分之比,其比值约为 1.618。这个比例在自然界、艺术、建筑和设计中广泛出现,被认为是最能引起视觉美感的比例。
示例:若短边 a = 100,则长边 b = 100 × 1.618 = 161.8,总长 a + b = 261.8。验证:261.8 / 161.8 ≈ 161.8 / 100 ≈ 1.618。
三分法是将画面九等分;黄金比例则是更精确的数学比例(1.618)。两者都可以用于构图,但黄金分割线通常更贴近视觉重心。
因为大量心理学实验表明,符合黄金比例的设计更容易让人眼感到舒适、和谐,因此成为设计中约定俗成的比例。
Calculate perfect proportions based on φ = 1.618
The golden ratio (φ ≈ 1.618) is a mathematical proportion found in nature, art, and design. It divides a line so that the whole to the longer part equals the longer part to the shorter part.
The rule of thirds divides a frame into nine equal parts; the golden ratio is more precise (1.618). Both are compositional aids, but φ often places the focal point closer to the natural visual center.
Researchers have found that shapes and layouts built around φ are perceived as more balanced and harmonious, likely because φ appears frequently in natural forms.