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  "id": "golden-ratio",
  "name": {
    "zh": "黄金比例",
    "en": "Golden Ratio"
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    "scope": "定义参考以上来源；数字界面示例、选择建议、条件关系及配方由本样例编辑，尚未经用户研究验证。",
    "editorialStatus": "drafted",
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    "sources": [
      {
        "id": "goldenratio-wikipedia",
        "url": "https://en.wikipedia.org/wiki/Golden_ratio",
        "title": "Wikipedia · Golden ratio",
        "checkedAt": "2026-09-16",
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        "url": "https://plus.maths.org/content/os/issue22/features/golden/index",
        "title": "Plus Magazine · The golden ratio and aesthetics (Mario Livio)",
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    "id": "golden-ratio",
    "type": "principle",
    "name": {
      "zh": "黄金比例",
      "en": "Golden Ratio"
    },
    "aliases": [
      "Golden Section",
      "Divine Proportion",
      "Phi",
      "黄金分割"
    ],
    "granularity": "component",
    "intents": [
      "organize-content",
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    "tags": [
      "比例",
      "构图",
      "网格",
      "数学",
      "有争议"
    ],
    "definition": "一个约等于 1.618 的数学比例：把一条线段分成长短两段，使全长与长段之比等于长段与短段之比。设计中常被用作决定尺寸、间距与画幅关系的一种现成比例。",
    "boundary": "这个比例本身是确定的数学事实，但\"它在美学上优于其他比例\"是一个有争议的主张，而不是已被确立的结论：相关心理学实验结果彼此冲突，许多关于历史建筑与艺术品采用该比例的说法也缺乏实测支持。本词条据此把它定位为一种可用的现成比例，而不是一条应当遵循的设计法则。它也不是排版比例体系的唯一选项——2:3、3:4、1:√2 一类的比例同样成熟可用，选择哪一种属于编辑判断。用它作为事后解释（\"这个设计好看是因为符合黄金比例\"）尤其应当避免。",
    "signature": [
      "尺寸、间距或画幅之间反复出现约 1.618 的比值",
      "比例作为事前的取值依据，而不是事后的解释",
      "同一套比例在整个作品中被一致地使用"
    ],
    "when": [
      "需要一个现成的比例起点，而不想每次都凭感觉取值",
      "希望尺寸之间保持可复述的关系，便于团队协作与复用",
      "作品本身与该比例有明确的文化或主题关联"
    ],
    "when_not": [
      "把它当作\"更美\"的证据来说服他人，而实际证据是冲突的",
      "内容的真实长度与层级要求与该比例冲突，却强行迁就",
      "用它为已经做好的设计事后背书"
    ],
    "tradeoff": "一个现成比例能让尺寸决策更快、更一致，代价是它没有为\"这里该多大\"提供任何来自内容的依据：比例给的是形式上的呼应，可读性、信息层级与可点击尺寸仍然要另行验证。",
    "comparison": {
      "focus": "为尺寸与间距提供一个可复述的比例起点",
      "mechanism": "全长与长段之比等于长段与短段之比，约 1.618",
      "cost": "不提供来自内容的依据，且美学优越性有争议"
    },
    "sources": [
      {
        "id": "goldenratio-wikipedia",
        "title": "Wikipedia · Golden ratio",
        "url": "https://en.wikipedia.org/wiki/Golden_ratio",
        "claim": "该条目给出黄金比例的数学定义并记载其约值 1.618，同时记录了对其美学主张的质疑：文中引用数学家 Keith Devlin 的说法，指出常被重复的\"雅典帕特农神庙以黄金比例为基础\"这一断言并不被实际测量支持。本词条的数学定义与\"有争议\"的定位据此转述。",
        "checkedAt": "2026-09-16",
        "archive": {
          "lookupUrl": "https://web.archive.org/web/20260916*/https://en.wikipedia.org/wiki/Golden_ratio",
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          "checkedAt": "2026-09-16T17:37:58.347Z",
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        "id": "goldenratio-livio-plus",
        "title": "Plus Magazine · The golden ratio and aesthetics (Mario Livio)",
        "url": "https://plus.maths.org/content/os/issue22/features/golden/index",
        "claim": "该文回顾了检验\"黄金比例是否更悦目\"的心理学实验：Gustav Fechner 在 1860 年代请受试者从十个不同长宽比的矩形中挑出最喜欢的，76% 的选择集中在比值 1.75、1.62 与 1.50 三个矩形上，峰值出现在 1.62 的\"黄金矩形\"；文中同时指出此后许多心理学家重复类似实验，得到的结果相当不一致，并引用 Michael Godkewitsch 的批评——群体平均偏好往往并不反映个体的选择。本词条\"证据冲突\"的判断据此转述。",
        "checkedAt": "2026-09-16",
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    "relations": [
      {
        "target": "fibonacci-sequence",
        "kind": "related",
        "condition": "需要一组具体的整数取值来实现这一比例",
        "reason": "斐波那契数列相邻项之比逐步逼近黄金比例，因此常被当作它在间距与字号上的整数近似。",
        "basis": "editorial"
      },
      {
        "target": "modular-grid",
        "kind": "alternative",
        "condition": "为版面选择一套决定尺寸关系的规则",
        "reason": "模块化网格从内容与栅格出发推导尺寸，黄金比例从一个固定比值出发；前者更容易容纳可变长度的真实内容。",
        "basis": "editorial"
      },
      {
        "target": "contrast-legibility",
        "kind": "conflicts_when",
        "condition": "字号按比例推导得出，却未按实际阅读距离与字体验证",
        "reason": "比例只保证尺寸之间的关系，不保证任何一级字号本身足够可读。",
        "basis": "editorial"
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    ],
    "rules": [
      {
        "when": "向他人说明为什么采用某一比例",
        "instruction": "把它表述为一个选定的比例约定，不要表述为\"更美\"的既定事实；相关实验结果并不一致。",
        "strength": "must",
        "basis": "editorial"
      },
      {
        "when": "比例推导出的尺寸用于正文字号或可点击目标",
        "instruction": "按可读性与目标尺寸的实际要求校正取值，让比例服从这些下限而不是相反。",
        "strength": "must",
        "basis": "editorial"
      }
    ],
    "principle": {
      "evidenceType": "确定的数学关系；关于其美学优越性的心理学证据彼此冲突",
      "limit": "本词条不主张该比例比其他比例更美，也不核实关于历史作品采用该比例的具体说法；它只说明这是一个可用且可复述的比例约定。"
    },
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    "version": "0.1.0",
    "editorialStatus": "drafted",
    "requirements": [],
    "demoCapabilities": [],
    "implementationNote": "本词条尚无可操作示例；插画为编辑示意，展示这一比例的几何构造，不代表任何历史作品的实测结果。应用到产品前仍须用可读性与目标尺寸的实际要求校正推导出的取值。",
    "image": {
      "src": "/images/golden-ratio.webp",
      "alt": "一张几何示意图：一个矩形被竖线分成一大一小两块，小块内又被横线分出更小的一块，如此嵌套数次，旁边一条线段标出全长、长段与短段三段的对照关系。"
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      "composition",
      "grid",
      "mathematics",
      "contested"
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