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Diagrams

Diagrams help to communicate complex relationships and interconnections between different technical components, and are a great addition to project documentation. Material for MkDocs integrates with Mermaid.js, a very popular and flexible solution for drawing diagrams.

Configuration⚓︎

Configuration

This configuration enables native support for Mermaid.js diagrams. Material for MkDocs will automatically initialize the JavaScript runtime when a page includes a mermaid code block:

markdown_extensions:
  - pymdownx.superfences:
      custom_fences:
        - name: mermaid
          class: mermaid
          format: !!python/name:pymdownx.superfences.fence_code_format

No further configuration is necessary. Advantages over a custom integration:

  • Works with instant loading without any additional effort
  • Diagrams automatically use fonts and colors defined in mkdocs.yml1
  • Fonts and colors can be customized with additional style sheets
  • Support for both, light and dark color schemes – try it on this page!

Usage⚓︎

Using Flowcharts⚓︎

Flowcharts are diagrams that represent workflows or processes. The steps are rendered as nodes of various kinds and are connected by edges, describing the necessary order of steps:

Click to See Code
Flow Chart
``` mermaid
graph LR
  A[Start] --> B{Error?};
  B -->|Yes| C[Hmm...];
  C --> D[Debug];
  D --> B;
  B ---->|No| E[Yay!];
```
graph LR
  A[Start] --> B{Error?};
  B -->|Yes| C[Hmm...];
  C --> D[Debug];
  D --> B;
  B ---->|No| E[Yay!];

Using Sequence Diagrams⚓︎

Sequence diagrams describe a specific scenario as sequential interactions between multiple objects or actors, including the messages that are exchanged between those actors:

Click to See Code
Sequence Diagram
``` mermaid
sequenceDiagram
  autonumber
  Alice->>John: Hello John, how are you?
  loop Healthcheck
      John->>John: Fight against hypochondria
  end
  Note right of John: Rational thoughts!
  John-->>Alice: Great!
  John->>Bob: How about you?
  Bob-->>John: Jolly good!
```
sequenceDiagram
  autonumber
  Alice->>John: Hello John, how are you?
  loop Healthcheck
      John->>John: Fight against hypochondria
  end
  Note right of John: Rational thoughts!
  John-->>Alice: Great!
  John->>Bob: How about you?
  Bob-->>John: Jolly good!

Using State Diagrams⚓︎

State diagrams are a great tool to describe the behavior of a system, decomposing it into a finite number of states, and transitions between those states:

Click to See Code
State Diagram
``` mermaid
stateDiagram-v2
  state fork_state <<fork>>
    [*] --> fork_state
    fork_state --> State2
    fork_state --> State3

    state join_state <<join>>
    State2 --> join_state
    State3 --> join_state
    join_state --> State4
    State4 --> [*]
```
stateDiagram-v2
  state fork_state <<fork>>
    [*] --> fork_state
    fork_state --> State2
    fork_state --> State3

    state join_state <<join>>
    State2 --> join_state
    State3 --> join_state
    join_state --> State4
    State4 --> [*]

Using Class Diagrams⚓︎

Class diagrams are central to object oriented programming, describing the structure of a system by modelling entities as classes and relationships between them:

Click to See Code
Class Diagram
``` mermaid
classDiagram
  Person <|-- Student
  Person <|-- Professor
  Person : +String name
  Person : +String phoneNumber
  Person : +String emailAddress
  Person: +purchaseParkingPass()
  Address "1" <-- "0..1" Person:lives at
  class Student{
    +int studentNumber
    +int averageMark
    +isEligibleToEnrol()
    +getSeminarsTaken()
  }
  class Professor{
    +int salary
  }
  class Address{
    +String street
    +String city
    +String state
    +int postalCode
    +String country
    -validate()
    +outputAsLabel()
  }
```
classDiagram
  Person <|-- Student
  Person <|-- Professor
  Person : +String name
  Person : +String phoneNumber
  Person : +String emailAddress
  Person: +purchaseParkingPass()
  Address "1" <-- "0..1" Person:lives at
  class Student{
    +int studentNumber
    +int averageMark
    +isEligibleToEnrol()
    +getSeminarsTaken()
  }
  class Professor{
    +int salary
  }
  class Address{
    +String street
    +String city
    +String state
    +int postalCode
    +String country
    -validate()
    +outputAsLabel()
  }

Using Entity-relationship Diagrams⚓︎

An entity-relationship diagram is composed of entity types and specifies relationships that exist between entities. It describes inter-related things in a specific domain of knowledge:

Click to See Code
Entity-relationship Diagram
``` mermaid
erDiagram
  CUSTOMER ||--o{ ORDER : places
  ORDER ||--|{ LINE-ITEM : contains
  LINE-ITEM {
    string name
    int pricePerUnit
  }
  CUSTOMER }|..|{ DELIVERY-ADDRESS : uses
```
erDiagram
  CUSTOMER ||--o{ ORDER : places
  ORDER ||--|{ LINE-ITEM : contains
  LINE-ITEM {
    string name
    int pricePerUnit
  }
  CUSTOMER }|..|{ DELIVERY-ADDRESS : uses

Other Diagram Types⚓︎

Besides the diagram types listed above, Mermaid.js provides support for pie charts, gantt charts, user journeys, git graphs and requirement diagrams, all of which are not officially supported by Material for MkDocs. Those diagrams should still work as advertised by Mermaid.js, but we don't consider them a good choice, mostly as they don't work well on mobile.

Customization⚓︎

If you want to customize Mermaid.js, e.g. to bring in support for ELK layouts, you can do so by adding a custom JavaScript file to your mkdocs.yml:

import mermaid from 'https://cdn.jsdelivr.net/npm/mermaid@11/dist/mermaid.esm.min.mjs';
import elkLayouts from 'https://cdn.jsdelivr.net/npm/@mermaid-js/layout-elk@0/dist/mermaid-layout-elk.esm.min.mjs';

mermaid.registerLayoutLoaders(elkLayouts);
mermaid.initialize({
  startOnLoad: false,
  securityLevel: "loose",
  layout: "elk",
});

// Important: necessary to make it visible to Material for MkDocs
window.mermaid = mermaid;
extra_javascript:
  - javascripts/mermaid.mjs

Bayes' Theorem

Bayes' Theorem⚓︎

This is Bayes' Rule, the foundation of Bayesian statistics. This specific equation is a general law of probability used across almost all of science and math. It stands alone as its own fundamental concept.

Bayes' Rule with two different rendering methods, one: \(p(x|y) = \frac{p(y|x)p(x)}{p(y)}\), and two: \(p(x|y) = \frac{p(y|x)p(x)}{p(y)}\), see the code below showing the difference.


The provided equation is Bayes' Theorem, a fundamental principle in probability theory and statistics used to update the probability of a hypothesis \({(y)}\)

\(p(x|y) = \frac{p(y|x)p(x)}{p(y)}\), \(p(x|y) = \frac{p(y|x)p(x)}{p(y)}\).


Click to see code
$p(x|y) = \frac{p(y|x)p(x)}{p(y)}$

\(p(x|y) = \frac{p(y|x)p(x)}{p(y)}\)

---
config:
  theme: base
  themeVariables:
    # Top Right (Plan) - Purple/Blue
    quadrant1Fill: "rgba(100, 100, 255, 0.2)"
    # Top Left (Do) - Red/Pink
    quadrant2Fill: "rgba(255, 100, 100, 0.2)"
    # Bottom Left (Delegate) - Green
    quadrant3Fill: "rgba(100, 255, 100, 0.2)"
    # Bottom Right (Delete) - Yellow/Brown
    quadrant4Fill: "rgba(255, 255, 100, 0.2)"

    # Darker text for visibility in Light Mode
    quadrant1TextFill: "#555"
    quadrant2TextFill: "#555"
    quadrant3TextFill: "#555"
    quadrant4TextFill: "#555"

    quadrantTitleFill: "#666"
    quadrantAxisTextFill: "#666"
    quadrantInternalBorderStroke: "rgba(128, 128, 128, 0.5)"
---
quadrantChart
  x-axis Urgent --> Not Urgent
  y-axis Not Important --> "Important ❤"
  quadrant-1 Plan
  quadrant-2 Do
  quadrant-3 Delegate
  quadrant-4 Delete

---
config:
  theme: base
  themeVariables:
    # Transparent fills to let the system background show through
    quadrant1Fill: "rgba(120, 120, 120, 0.1)"
    quadrant2Fill: "rgba(120, 120, 120, 0.1)"
    quadrant3Fill: "rgba(120, 120, 120, 0.1)"
    quadrant4Fill: "rgba(120, 120, 120, 0.1)"

    # Neutral gray text visible on both black and white
    quadrant1TextFill: "#888"
    quadrant2TextFill: "#888"
    quadrant3TextFill: "#888"
    quadrant4TextFill: "#888"

    # Axis and Label colors
    quadrantTitleFill: "#999"
    quadrantAxisTextFill: "#999"
    quadrantInternalBorderStroke: "#666"

    # Points and their labels (bright teal/cyan works for both modes)
    quadrantPointFill: "#00ced1"
    quadrantPointTextFill: "#888"
---
quadrantChart
    title Reach and engagement of campaigns
    x-axis Low Reach --> High Reach
    y-axis Low Engagement --> High Engagement
    quadrant-1 We should expand
    quadrant-2 Need to promote
    quadrant-3 Re-evaluate
    quadrant-4 May be improved
    Campaign A: [0.3, 0.6]
    Campaign B: [0.45, 0.23]
    Campaign C: [0.57, 0.69]
    Campaign D: [0.78, 0.34]
    Campaign E: [0.40, 0.34]
    Campaign F: [0.35, 0.78]

    requirementDiagram

    requirement test_req {
    id: 1
    text: the test text.
    risk: high
    verifymethod: test
    }

    functionalRequirement test_req2 {
    id: 1.1
    text: the second test text.
    risk: low
    verifymethod: inspection
    }

    performanceRequirement test_req3 {
    id: 1.2
    text: the third test text.
    risk: medium
    verifymethod: demonstration
    }

    interfaceRequirement test_req4 {
    id: 1.2.1
    text: the fourth test text.
    risk: medium
    verifymethod: analysis
    }

    physicalRequirement test_req5 {
    id: 1.2.2
    text: the fifth test text.
    risk: medium
    verifymethod: analysis
    }

    designConstraint test_req6 {
    id: 1.2.3
    text: the sixth test text.
    risk: medium
    verifymethod: analysis
    }

    element test_entity {
    type: simulation
    }

    element test_entity2 {
    type: word doc
    docRef: reqs/test_entity
    }

    element test_entity3 {
    type: "test suite"
    docRef: github.com/all_the_tests
    }


    test_entity - satisfies -> test_req2
    test_req - traces -> test_req2
    test_req - contains -> test_req3
    test_req3 - contains -> test_req4
    test_req4 - derives -> test_req5
    test_req5 - refines -> test_req6
    test_entity3 - verifies -> test_req5
    test_req <- copies - test_entity2

requirementDiagram

requirement test_req {
    id: 1
    text: styling example
    risk: low
    verifymethod: test
}

element test_entity {
    type: simulation
}

style test_req fill:#ffa,stroke:#000, color: green
style test_entity fill:#f9f,stroke:#333, color: blue
requirementDiagram

requirement test_req {
    id: 1
    text: styling example
    risk: low
    verifymethod: test
}

functionalRequirement test_entity {
    id: 1
    text: simulation
}

style test_req fill:#ffa,stroke:#000, color: green
style test_entity fill:#f9f,stroke:#333, color: blue

---
config:
  theme: base
  themeVariables:
    # Clean RGBA (no #) - 0.2 alpha gives enough color for light mode
    quadrant1Fill: "rgba(34, 197, 94, 0.2)"   # Green (Plan)
    quadrant2Fill: "rgba(59, 130, 246, 0.2)"  # Blue (Do)
    quadrant3Fill: "rgba(249, 115, 22, 0.2)"  # Orange (Delegate)
    quadrant4Fill: "rgba(239, 68, 68, 0.2)"   # Red (Delete)

    # Darker text to ensure it's "crisp" in light mode
    quadrant1TextFill: "#444"
    quadrant2TextFill: "#444"
    quadrant3TextFill: "#444"
    quadrant4TextFill: "#444"

    # Infrastructure - keeping lines subtle but present
    quadrantTitleFill: "#555"
    quadrantAxisTextFill: "#555"
    quadrantInternalBorderStroke: "rgba(0, 0, 0, 0.1)"
---
quadrantChart
  x-axis Urgent --> Not Urgent
  y-axis Not Important --> "Important ❤"
  quadrant-1 Plan
  quadrant-2 Do
  quadrant-3 Delegate
  quadrant-4 Delete

---
config:
  theme: base
  themeVariables:
    # Rich "Vibrant" tones
    quadrant1Fill: "rgba(60, 80, 150, 0.4)"   # Deep Blue
    quadrant2Fill: "rgba(150, 60, 80, 0.4)"   # Burgundy
    quadrant3Fill: "rgba(60, 120, 80, 0.4)"   # Forest Green
    quadrant4Fill: "rgba(120, 120, 60, 0.4)"  # Olive/Gold

    # White text is the secret for Dark Mode; 
    # it becomes a "Charcoal" gray in most light-mode renderers automatically
    quadrant1TextFill: "#ffffff"
    quadrant2TextFill: "#ffffff"
    quadrant3TextFill: "#ffffff"
    quadrant4TextFill: "#ffffff"

    # Points & Labels
    quadrantPointFill: "#00ffff"
    quadrantPointTextFill: "#ffffff"

    # Infrastructure
    quadrantTitleFill: "#e0e0e0"
    quadrantAxisTextFill: "#cccccc"
    quadrantInternalBorderStroke: "rgba(255, 255, 255, 0.15)"
---
quadrantChart
    title Reach and engagement of campaigns
    x-axis Low Reach --> High Reach
    y-axis Low Engagement --> High Engagement
    quadrant-1 We should expand
    quadrant-2 Need to promote
    quadrant-3 Re-evaluate
    quadrant-4 May be improved
    Campaign A: [0.3, 0.6]
    Campaign B: [0.45, 0.23]
    Campaign C: [0.57, 0.69]
    Campaign D: [0.78, 0.34]
    Campaign E: [0.40, 0.34]
    Campaign F: [0.35, 0.78]

"Universal Dashboard" template⚓︎

%%{init: {
  'theme': 'base',
  'themeVariables': {
    'quadrant1Fill': 'rgba(60, 80, 150, 0.35)',
    'quadrant2Fill': 'rgba(150, 60, 80, 0.35)',
    'quadrant3Fill': 'rgba(60, 120, 80, 0.35)',
    'quadrant4Fill': 'rgba(120, 120, 60, 0.35)',
    'quadrant1TextFill': '#b0b0b0',
    'quadrant2TextFill': '#b0b0b0',
    'quadrant3TextFill': '#b0b0b0',
    'quadrant4TextFill': '#b0b0b0',
    'quadrantPointFill': '#00ffff',
    'quadrantPointTextFill': '#ffffff',
    'quadrantTitleFill': '#999',
    'quadrantAxisTextFill': '#999',
    'quadrantInternalBorderStroke': 'rgba(150, 150, 150, 0.2)'
  }
} }%%
quadrantChart
    title Universal Dashboard Template
    x-axis Left Label --> Right Label
    y-axis Bottom Label --> Top Label
    quadrant-1 Quadrant 1 Text
    quadrant-2 Quadrant 2 Text
    quadrant-3 Quadrant 3 Text
    quadrant-4 Quadrant 4 Text
    Point Name A: [0.25, 0.75]
    Point Name B: [0.6, 0.4]

%%{init: {
  'theme': 'base',
  'themeVariables': {
    'quadrant1Fill': 'rgba(60, 80, 150, 0.35)',
    'quadrant2Fill': 'rgba(150, 60, 80, 0.35)',
    'quadrant3Fill': 'rgba(60, 120, 80, 0.35)',
    'quadrant4Fill': 'rgba(120, 120, 60, 0.35)',
    'quadrant1TextFill': '#b0b0b0',
    'quadrant2TextFill': '#b0b0b0',
    'quadrant3TextFill': '#b0b0b0',
    'quadrant4TextFill': '#b0b0b0',
    'quadrantPointFill': '#00ffff',
    'quadrantPointTextFill': '#ffffff',
    'quadrantTitleFill': '#999',
    'quadrantAxisTextFill': '#999',
    'quadrantInternalBorderStroke': 'rgba(150, 150, 150, 0.2)'
  }
} }%%
quadrantChart
    title Categorized Campaign Analysis
    x-axis Low Reach --> High Reach
    y-axis Low Engagement --> High Engagement
    quadrant-1 Expand
    quadrant-2 Optimize
    quadrant-3 Re-evaluate
    quadrant-4 Maintenance
    "● FB Summer": [0.7, 0.8]
    "● IG Story": [0.8, 0.6]
    "★ Newsletter": [0.4, 0.7]
    "★ Promo Blast": [0.5, 0.5]
    "🔍 Google Ads": [0.6, 0.4]
    "🔍 SEO Blog": [0.3, 0.3]

  1. While all Mermaid.js features should work out-of-the-box, Material for MkDocs will currently only adjust the fonts and colors for flowcharts, sequence diagrams, class diagrams, state diagrams and entity relationship diagrams. See the section on other diagrams for more information why this is currently not implemented for all diagrams. ↩