{ "_description": "本文件由 data/ 生成：请改动来源文件，不要改这里。各字段的证据边界见接入指南。", "schemaVersion": "1.0.0", "kind": "entry", "locale": "zh-CN", "id": "fibonacci-sequence", "name": { "zh": "斐波那契数列", "en": "Fibonacci Sequence" }, "page": "https://designvocabulary.com/zh/entries/fibonacci-sequence/", "self": "https://designvocabulary.com/zh/entries/fibonacci-sequence.json", "alternates": { "zh-CN": "https://designvocabulary.com/zh/entries/fibonacci-sequence.json", "en": "https://designvocabulary.com/en/entries/fibonacci-sequence.json" }, "site": { "catalogSchemaVersion": "0.1.0", "entries": 137, "index": "https://designvocabulary.com/zh/entries/index.json", "query": "https://designvocabulary.com/api/query?lang=zh", "guide": "https://designvocabulary.com/zh/agents/", "llms": "https://designvocabulary.com/llms.txt" }, "provenance": { "sourceBacked": [ "entry.definition" ], "editorial": [ "entry.boundary", "entry.signature", "entry.when", "entry.when_not", "entry.tradeoff", "entry.comparison", "entry.rules", "entry.relations", "entry.implementationNote", "entry.principle" ], "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", "specimenData": "fictional", "specimenNote": "示例为原创虚构界面；定义附来源，用法与配方为编辑建议。", "sources": [ { "id": "fibonacci-wikipedia", "url": "https://en.wikipedia.org/wiki/Fibonacci_sequence", "title": "Wikipedia · Fibonacci sequence", "checkedAt": "2026-09-16", "archive": { "status": "pending", "confirmed": false, "url": null, "capturedAt": null, "lookupUrl": "https://web.archive.org/web/20260916*/https://en.wikipedia.org/wiki/Fibonacci_sequence" } }, { "id": "fibonacci-livio-plus", "url": "https://plus.maths.org/content/os/issue22/features/golden/index", "title": "Plus Magazine · The golden ratio and aesthetics (Mario Livio)", "checkedAt": "2026-09-16", "archive": { "status": "pending", "confirmed": false, "url": null, "capturedAt": null, "lookupUrl": "https://web.archive.org/web/20260916*/https://plus.maths.org/content/os/issue22/features/golden/index" } } ], "lists": [], "ordered": false, "listDisclaimer": "席位号是编辑位置，不是评分、排名或人气统计；清单未收满时保持原样，不补足。" }, "entry": { "id": "fibonacci-sequence", "type": "principle", "name": { "zh": "斐波那契数列", "en": "Fibonacci Sequence" }, "aliases": [ "Fibonacci Numbers", "Fibonacci Scale", "斐波那契序列", "斐波那契刻度" ], "granularity": "component", "intents": [ "organize-content", "reduce-complexity" ], "tags": [ "数列", "间距", "字号阶梯", "比例", "整数" ], "definition": "每一项等于前两项之和的整数数列（1、2、3、5、8、13、21……）。设计中把它当作现成的间距与字号刻度：相邻两项的差距随取值增大而增大，因此小尺寸处步进细、大尺寸处步进粗。", "boundary": "本词条讨论的是把这组整数当作刻度使用的做法，不讨论数列的数学性质本身，也不概括它在自然界中的出现。它与黄金比例相关但不相同：相邻项之比逐步逼近约 1.618，因此常被当作后者的整数近似，但\"逼近某个比值\"并不使它继承任何美学主张——关于黄金比例是否更悦目的心理学证据本身就是冲突的。把数列用作刻度的实际理由是它简单、可记、且步进随尺寸增长，而不是它\"源于自然\"。", "signature": [ "间距与字号取自同一组整数，不出现该组之外的取值", "相邻取值的差距随尺寸增大而增大", "整套取值可以被记住并口头复述" ], "when": [ "需要一套简单、可记的间距刻度让多人保持一致", "希望小尺寸处有细步进、大尺寸处有明显跨度", "取值需要是整数，便于在不同实现之间无损传递" ], "when_not": [ "用\"源于自然\"或\"符合黄金比例\"来论证这套刻度更美", "小尺寸端步进过密，1 与 2 之间的差别在屏幕上根本看不出来", "内容需要的尺寸落在两项之间，却被强行归到最近的一项" ], "tradeoff": "一套固定的整数刻度消除了\"随手取个数字\"的随意性，也让间距可以被讨论和复用；代价是它在两端都不好用——小尺寸端的相邻项差别太小，大尺寸端的跨度又可能太大。", "comparison": { "focus": "用一组可记的整数统一间距与字号", "mechanism": "每项等于前两项之和，步进随尺寸增大", "cost": "小尺寸端步进过密，大尺寸端跨度可能过大" }, "sources": [ { "id": "fibonacci-wikipedia", "title": "Wikipedia · Fibonacci sequence", "url": "https://en.wikipedia.org/wiki/Fibonacci_sequence", "claim": "该条目把斐波那契数列定义为每一项等于前两项之和的数列，并说明相邻两项之比随项数增大趋近于黄金比例；本词条的定义与\"整数近似\"的说法据此转述，把它用作间距刻度属编辑判断。", "checkedAt": "2026-09-16", "archive": { "lookupUrl": "https://web.archive.org/web/20260916*/https://en.wikipedia.org/wiki/Fibonacci_sequence", "status": "pending", "checkedAt": "2026-09-16T17:39:47.086Z", "error": "status-request-failed", "jobId": "spn2-b07a9eb0fecb1651ca98f3abf3edd65b5d35a8ae" } }, { "id": "fibonacci-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美学主张的心理学实验，指出 Fechner 在 1860 年代的矩形偏好实验之后，许多心理学家重复类似实验却得到相当不一致的结果；本词条引用它来说明：数列逼近黄金比例这一事实，并不能让它继承\"更美\"的主张。", "checkedAt": "2026-09-16", "archive": { "lookupUrl": "https://web.archive.org/web/20260916*/https://plus.maths.org/content/os/issue22/features/golden/index", "status": "pending", "checkedAt": "2026-09-16T17:38:19.335Z", "error": "status-request-failed", "jobId": "spn2-3c76ba2de5558383abe0c616817a7fa16160dff7" } } ], "relations": [ { "target": "golden-ratio", "kind": "related", "condition": "讨论这套刻度为什么被选中", "reason": "相邻项之比逼近约 1.618，因此数列常被当作黄金比例的整数近似；但后者的美学主张有争议，不应被一并引用为理由。", "basis": "editorial" }, { "target": "consistency", "kind": "realized_by", "condition": "多人协作时需要间距与字号保持一致", "reason": "固定刻度把\"取多少\"从每次判断变成一次约定，这正是一致性在尺寸维度上的具体落实方式。", "basis": "editorial" }, { "target": "modular-grid", "kind": "composes_with", "condition": "版面同时需要横向的栅格与纵向的间距刻度", "reason": "网格决定横向的列与槽，刻度决定纵向的间距与字号，两者各管一个方向且互不冲突。", "basis": "editorial" } ], "rules": [ { "when": "这套刻度被用于小尺寸的间距", "instruction": "在小尺寸端合并或跳过差别不可见的相邻项，不要因为数列里有就照单全收。", "strength": "recommend", "basis": "editorial" }, { "when": "向团队说明为什么采用这套刻度", "instruction": "以\"简单、可记、步进随尺寸增长\"为理由，不要以\"源于自然\"或\"更美\"为理由。", "strength": "must", "basis": "editorial" } ], "principle": { "evidenceType": "确定的数学定义；用作设计刻度是一种工程与协作上的约定，而非实证结论", "limit": "本词条不主张这套刻度比其他刻度更美，也不核实数列在自然界出现频率的相关说法；它只说明这是一组便于记忆与复用的整数取值。" }, "demo": null, "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，展示这组整数作为间距刻度的样子，不代表已验证的实现。应用到产品前仍须在真实字号与屏幕密度下确认小尺寸端的相邻取值确实可分辨。", "image": { "src": "/images/fibonacci-sequence.webp", "alt": "一张刻度示意图：一列由窄到宽的水平色条依次排开，宽度按 1、2、3、5、8、13、21 递增，每条下方标出对应的数字，右侧用同一组数值示意逐级放大的字号阶梯。" }, "searchTerms": [ "sequence", "spacing", "type scale", "proportion", "whole numbers" ] } }