---

name: create-visualization description: Creates diagrams and animations for STEM education using Matplotlib and Manim. Use for physics diagrams (FBD, vectors), math plots (functions, geometry), flowcharts, or 3Blue1Brown-style animations.

Visualization Skill

สร้าง diagrams และ animations สำหรับอธิบาย STEM concepts

Quick Decision

Need	Tool	Script
Physics FBD	Matplotlib	scripts/physics_fbd.py
Math plots/geometry	Matplotlib	scripts/math_plots.py
Flowcharts	Matplotlib	scripts/flowchart.py
Animations (3b1b style)	Manim	scripts/manim_physics.py

Rule: Static → Matplotlib (fast) | Motion/transform → Manim (powerful)

---

1. Physics: Free Body Diagrams

from scripts.physics_fbd import draw_inclined_plane_fbd, draw_two_blocks_rope

# Inclined plane with force decomposition
draw_inclined_plane_fbd(mass=4, angle=30, show_components=True)

# Two blocks connected by rope
draw_two_blocks_rope(mass_A=2, mass_B=3, F_pull=10)

Output: PNG in learning-notes/ folder

---

2. Math: Plots & Geometry

from scripts.math_plots import plot_function, draw_unit_circle, draw_coordinate_plane
import numpy as np

# Function plot
plot_function(lambda x: np.sin(x), x_range=(-2*np.pi, 2*np.pi), title="sin(x)")

# Unit circle with angles
draw_unit_circle(angles_deg=[0, 30, 45, 60, 90])

# Coordinate plane with vectors
draw_coordinate_plane(
    vectors=[((0,0), (3,2), "a", "red"), ((0,0), (1,4), "b", "blue")]
)

---

3. Flowcharts

from scripts.flowchart import draw_simple_flowchart, draw_decision_flowchart

# Linear flow
draw_simple_flowchart([
    ("Start", "start"),
    ("Input x", "io"),
    ("Process", "process"),
    ("End", "end"),
])

# Decision branching
draw_decision_flowchart(
    before_decision=[("Start", "start")],
    decision_text="x > 0?",
    yes_branch=[("Positive", "process")],
    no_branch=[("Negative", "process")],
    after_merge=[("End", "end")]
)

---

4. Animations (Manim)

For 3Blue1Brown-style animations. See references/manim-guide.md for full guide.

Available Scenes in scripts/manim_physics.py

Scene	Description
VectorAddition	Head-to-tail vector addition
ForcesOnBox	FBD with motion
NewtonThirdLaw	Action-reaction pairs
InclinedPlane	Forces on incline with equations
ProjectileMotion	Parabolic path with velocity vectors
CircularMotion	Centripetal acceleration
AtwoodIncline	Pulley system (customizable m1, m2, θ)

Render Command

# Preview (low quality, fast)
manim -pql scripts/manim_physics.py VectorAddition

# GIF output
manim -ql --format=gif scripts/manim_physics.py VectorAddition

Custom Animation

from manim import *

class MyScene(Scene):
    def construct(self):
        circle = Circle(color=BLUE)
        self.play(Create(circle))
        self.play(circle.animate.shift(RIGHT * 2))

---

5. Function Explainer Visualization

สร้างภาพอธิบายการทำงานของ Excel/DAX/Power Query functions

Quick Start

# 1. Generate visualization
python3 tools/visualize_function.py excel left 1

# 2. Upload to server (--mkdir creates directory if needed)
python3 tools/ftp_upload.py -f media/function-viz/excel/left-1.png -r wp-content/uploads/function-viz/excel/ --mkdir

# 3. Add image_url to JSON example, then publish
python3 tools/smart_publish.py --slugs left --program excel --allow

Output: media/function-viz/{program}/{slug}-{example_number}.png Server: https://www.thepexcel.com/wp-content/uploads/function-viz/{program}/{slug}-{example}.png

Supported Functions

Function	Description
LEFT	ดึงตัวอักษรจากซ้าย
RIGHT	ดึงตัวอักษรจากขวา
MID	ดึงตัวอักษรจากตรงกลาง
FIND	หาตำแหน่งข้อความ
SUBSTITUTE	แทนที่ข้อความ

Workflow

1. Generate — python3 tools/visualize_function.py {program} {slug} {example_num}
2. Upload — python3 tools/ftp_upload.py -f {file} -r wp-content/uploads/function-viz/{program}/ --mkdir
3. Update JSON — เพิ่ม "image_url": "https://..." ใน example
4. Publish — python3 tools/smart_publish.py --slugs {slug} --program {program} --allow

Custom Visualization (Nested Functions)

สำหรับ formula ซับซ้อน เช่น =LEFT(A1, FIND(" ", A1)-1) ต้องเขียน script แยก:

# ดูตัวอย่างที่ media/function-viz/excel/left-5-custom.py

Note: Script หลักรองรับ formula ง่ายๆ ที่มี string literal เท่านั้น

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Workflow

1. Choose tool — Static (Matplotlib) vs Animation (Manim)
2. Run script — python3 scripts/physics_fbd.py or manim -pql ...
3. View output — explorer.exe output.png or use image viewer

Tip: Use run_in_background=true for viewers to avoid blocking conversation.

Related Skills (Optional)

When	Suggest
AI-generated images/videos (realistic, artistic)	/prompt-ai-image-video - prompt engineering
Teaching concepts with visuals	/explain-concepts - ACES methodology
Need facts before visualizing	/deep-research - verify data
Problem-solving context	/problem-solving - structured thinking

Note: Use /create-visualization for technical diagrams (FBD, plots, flowcharts). Use /prompt-ai-image-video for AI-generated realistic/artistic images and videos.