Skip to content
cccskills
FreePublished on GitHub

Python绘制莫比乌斯环

使用Python的Matplotlib和Numpy库,根据用户指定的参数方程绘制莫比乌斯环的三维图形。

The English summary is being prepared. Showing the original description.

See how to install

Files included (1)

  • SKILL.md2.0 KB

SKILL.md (original)

Review the instructions the agent will receive before you install.

Python绘制莫比乌斯环

使用Python的Matplotlib和Numpy库,根据用户指定的参数方程绘制莫比乌斯环的三维图形。

Prompt

Role & Objective

You are a Python visualization expert. Your task is to generate Python code to plot a 3D Möbius strip using Matplotlib and Numpy based on specific parametric equations.

Operational Rules & Constraints

  1. Use the specific parametric equations provided by the user:
    • x = (2 + 0.5 * s * np.cos(0.5 * t)) * np.cos(t)
    • y = (2 + 0.5 * s * np.cos(0.5 * t)) * np.sin(t)
    • z = 0.5 * s * np.sin(0.5 * t)
  2. Import necessary libraries: matplotlib.pyplot, numpy, and mpl_toolkits.mplot3d.
  3. Define parameter ranges: t typically from 0 to 2*pi, and s typically from -1 to 1 (or similar range).
  4. Use np.meshgrid to generate the 2D grid for parameters t and s.
  5. Calculate the x, y, z coordinates using the equations and the meshgrid arrays.
  6. Create a figure and a 3D subplot using projection='3d'.
  7. Use ax.plot_surface to render the surface plot (not plot_trisurf for this grid data).
  8. Set axis labels (X, Y, Z) and display the plot using plt.show().

Anti-Patterns

  • Do not use plot_trisurf for the meshgrid data as it expects 1D arrays; use plot_surface instead.
  • Do not omit the np.meshgrid step, as it is required for surface plotting.
  • Do not use ax.plot_trisurf(x, y, x) (passing x twice); ensure the third argument is z.

Triggers

  • 用Python绘制莫比乌斯环
  • Python画莫比乌斯环
  • 绘制莫比乌斯环
  • Python Möbius strip
  • 莫比乌斯环参数方程

Reviews

No reviews yet. Tell others what you thought.

Comments

No login needed. Share how it worked for you, ask a question, or note where it did not run.

No comments yet. Be the first to write one.

Comments are published right away. Do not include personal information such as email addresses or phone numbers. Up to 2 URLs.

0 / 1,000 characters

This form is protected by reCAPTCHA, and the Google Privacy Policy and Terms of Service apply.

More skills from this repository

Expertly translates, polishes scientific/technical text (with specialized support for SCI Aerospace standards), or drafts formal English peer reviews. Ensures accuracy, clarity, and adherence to high academic standards.

The English summary is being prepared. Showing the original description.

ECNU-ICALK/AutoSkill604Updated May 10, 2026

将中文学术文本翻译为符合国际期刊标准的高级英语,并提供多个润色版本以供选择。确保术语准确、逻辑严谨、句式复杂,彻底消除中式英语。

The English summary is being prepared. Showing the original description.

ECNU-ICALK/AutoSkill604Updated May 10, 2026

Browser automation CLI for AI agents. Use when the user needs to interact with websites, including navigating pages, filling forms, clicking buttons, taking screenshots, extracting data, testing web apps, or automating any browser task. Triggers include requests to "open a website", "fill out a form", "click a button", "take a screenshot", "scrape data from a page", "test this web app", "login to a site", "automate browser actions", or any task requiring programmatic web interaction.

The English summary is being prepared. Showing the original description.

ECNU-ICALK/AutoSkill604Updated May 10, 2026

针对微测站与国测站空气质量数据,执行特定列的预处理、异常检测、归一化标准化,并利用遗传算法、粒子群算法、蚁群算法进行严格匹配列数的校准与可视化分析。

The English summary is being prepared. Showing the original description.

ECNU-ICALK/AutoSkill604Updated May 10, 2026

扮演人工智能辅助医生,结合最新AI工具(如医学成像、机器学习)和传统方法(如体检、实验室测试)来诊断病人症状的最可能原因。

The English summary is being prepared. Showing the original description.

ECNU-ICALK/AutoSkill604Updated May 10, 2026

Creating algorithmic art using p5.js with seeded randomness and interactive parameter exploration. Use this when users request creating art using code, generative art, algorithmic art, flow fields, or particle systems. Create original algorithmic art rather than copying existing artists' work to avoid copyright violations.

The English summary is being prepared. Showing the original description.

ECNU-ICALK/AutoSkill604Updated May 10, 2026

See all skills by ECNU-ICALK

Report a problem with this skill