complexity-equation

complexity-equation is a skill for Claude Code, Codex from ace3000chao/book2startup. It costs 138 tokens per session (2,525 once invoked), scanned A, original, MIT.

A way to understand why communication and coordination become harder as a team grows. The number of possible person-to-person connections grows faster than the number of people, so larger teams need clearer processes and communication routines.

In plain words
What is it for?
Use it when a growing company becomes slower, departments struggle to coordinate, or leaders are deciding how to organize communication, decision-making, meetings, and information flow.
Why use it?
Adding people can increase meetings, confusion, and information loss even when the team grows only a little. This model helps explain that problem and shows why operating systems must grow with the team.

Skill for Claude CodeCodex

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

agentmods
npx agentmods add skills/ace3000chao/book2startup/complexity-equation
Any agent
npx skills add ace3000chao/book2startup --skill complexity-equation
Clone the repo
git clone --depth 1 https://github.com/ace3000chao/book2startup

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for complexity-equation

README.md
[![agentmods](https://agentmods.dev/badge/skills/ace3000chao/book2startup/complexity-equation.svg)](https://agentmods.dev/skills/ace3000chao/book2startup/complexity-equation)
Your own site
<a href="https://agentmods.dev/skills/ace3000chao/book2startup/complexity-equation"><img src="https://agentmods.dev/badge/skills/ace3000chao/book2startup/complexity-equation.svg" alt="Measured on agentmods" height="20"></a>
Per session 138 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 2,525 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. Scan, not verified.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5 $0.00138 $0.02525
Opus 5 $0.00069 $0.01262
Sonnet 5 $0.00028 $0.00505
Haiku 4.5 $0.00014 $0.00252

Measured 4d ago against content hash 2481a996c3de, method: parsed. Prices are Anthropic first-party input rates as of 2026-08-30, from the pricing page.

Security

Grade A, and why

complexity-equation scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 4d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

ScalingUp-skills/complexity-equation/SKILL.md · 185 lines

How it starts

The opening of the file, as written. The whole thing — 185 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Complexity Equation(复杂度乘法方程)

R — 原文 (Reading)

"Add a third person, and the degree of complexity triples from two to six. Add a fourth, and it quadruples to 24. Expanding from three to four people grows the team only 33%, yet complexity may increase 400%."

— Vern Harnish, Scaling Up, 第2章 Barriers


I — 方法论骨架 (Interpretation)

复杂度乘法方程揭示了企业扩张的隐性代价:人数线性增长,复杂度指数增长

公式的本质:每增加一个人,与所有人的沟通节点都要重新计算。 两个人=1条关系;三个人=3条关系;四个人=6条关系;五个人=10条关系。 这叫"组合数增长"——n个人产生的连接数 = n(n-1)/2。

数字说话

  • 2人 → 1连接
  • 3人 → 3连接(+200%)
  • 4人 → 6连接(+100%,但团队只增33%)
  • 5人 → 10连接
  • 10人 → 45连接

关键洞察:增长不是问题,缺乏管理增长的系统才是问题。 复杂度不是要不要面对的选项,而是成长的必然副产品。 解决方案不是"不增长",而是"提前建立消化复杂度的机制": 流程(Process)、规则(Disciplines)、沟通节奏(Rhythm)。


A1 — 书中的应用 (Past Application)

案例 1: 团队从3人到4人的"死亡陷阱"

  • 问题: 3人团队运转流畅,加了第4个"聪明人"后反而频繁开会、协调成本暴增
  • 方法论的使用: 用复杂度公式解释——不是第4个人不行,是连接数从3跳到6, 团队没有为此准备额外的流程和沟通机制
  • 结论: "4人门槛"需要引入明确的会议节奏和决策流程
  • 结果: 创始团队开始重视"加人不加乱"的组织设计

案例 2: 30人扩张到50人的中层管理危机

  • 问题: 快速扩张期,管理层抱怨"信息传不下去",部门墙越来越厚
  • 方法论的使用: 50人产生的连接数是1225,30人是435——人增加了67%, 连接数增加了近3倍。没有对应的信息流通机制,必然出现失真
  • 结论: 在这个规模必须引入结构化的沟通机制(周会、简报、可视化看板)
  • 结果: 引入Rockefeller Habits中的会议节奏工具,情况显著改善

案例 3: 复杂度的"隐性税"

  • 问题: 创始人抱怨"我明明雇了更多人来分担,怎么我还是这么累"
  • 方法论的使用: 展示数字:6人团队有15条连接,每条连接都在消耗 创始人的协调能量。更多人意味着更多连接,更多连接意味着更多潜在冲突和决策节点
  • 结论: 解决方式不是减人,而是建立不依赖创始人的决策系统
  • 结果: 创始人对"系统化"而非"靠人"有了全新理解

A2 — 触发场景 (Future Trigger) ★

用户会在什么情境下需要这个 skill?

  1. 团队从3-5人向10人以上扩张的阶段——开始感觉到协调成本上升, 但还没意识到这是结构性的
  2. 创始人在"要不要招人"的问题上纠结——感觉招了人效率反而下降, 怀疑是不是招错了人,而不是系统设计问题
  3. 公司出现"部门墙"或"沟通断层"——部门之间互相甩锅, 信息在传递过程中失真或消失
  4. 在做组织架构设计或汇报线调整——想要理解增加一个层级 或者增设一个部门会对复杂度产生什么影响
  5. 讨论"公司可不可以再快一点扩张"——需要量化理解 扩张速度与组织消化能力之间的关系

语言信号 (用户的话里出现这些就应激活)

  • "我们人也不多啊,怎么感觉协调起来这么累?"
  • "加了一个人之后好像更慢了,是不是招错了?"
  • "部门之间好像有墙,信息传着传着就没了"
  • "我一个人扛不住了,是不是该招个副总?"
  • "增长太快是不是有问题?要不要放慢脚步?"
  • "三个人干得挺好,加了第四个反而出问题了"

与相邻 skill 的区分

  • Growth Paradox(成长悖论) 的区别: 成长悖论是"为什么越大越累" 的哲学层面解释;复杂度方程是这个悖论的数学层面量化工具
  • PACe(流程问责表) 的区别: PACe是复杂度管理的具体落地工具, 复杂度方程是"为什么要用PACe"的原因解释
  • Rockefeller Habits 的区别: Rockefeller Habits是复杂度管理的 一套具体习惯清单;复杂度方程是这些习惯存在的理论依据

Read the full file on GitHub · 185 lines

Files

What ships with it

1 file beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 4d ago First seen · 185 lines · 138 tokens per session scan A 2481a996c3de

Subscribe to this mod's changes

complexity-equation is a skill published in the GitHub repository ace3000chao/book2startup (75 stars, last pushed 4mo ago), licensed MIT. It adds 138 tokens to every session and 2,525 once invoked, about $0.0007 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-30.

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