```tikz Based on the discussion and the modifications we decided to implement, here is the final TikZ code for the improved diagram: ### Final Code ```latex \documentclass{article} \usepackage{tikz} \usetikzlibrary{arrows.meta} % For better arrow tips \begin{document} \begin{tikzpicture}[node distance=3cm, auto] % Define nodes \node (I) at (0, 0) {\(\mathbf{I}\) (Universal)}; \node (Ihat) at (4, 0) {\(\widehat{\mathbf{I}}\) (Constructed)}; \node (ihat) at (2, -2) {\(\hat{\mathbf{i}}\) (Observed)}; \node (epsilon) at (4, 2) {\(\epsilon\) (Resolution)}; % Moved epsilon to (4,2) % Draw arrows with labels \draw[->] (I) -- (Ihat) node[midway, above] {Approximation}; \draw[->] (I) -- (ihat) node[midway, left] {Measurement}; \draw[->] (epsilon) -- (Ihat) node[midway, right] {Shapes}; % Vertical line from epsilon to Ihat \draw[->] (epsilon) to[out=270,in=90] (ihat) node[midway, right] {Determines granularity}; % Curved arrow from epsilon to ihat \end{tikzpicture} \end{document} ``` # Explanation of Changes 1. **Position of `epsilon`:** - The `epsilon` node has been moved to `(4, 2)` to align it vertically above `Ihat`. This avoids crossing lines and makes the diagram cleaner. 2. **Curved Arrow from `epsilon` to `ihat`:** - A curved arrow is used to connect `epsilon` to `ihat` using the `to[out=<angle>,in=<angle>]` syntax. - `out=270` means the arrow starts by going straight down from `epsilon`. - `in=90` means the arrow approaches `ihat` from above. - This ensures the arrow curves smoothly without crossing other lines. 3. **Vertical Line from `epsilon` to `Ihat`:** - The connection from `epsilon` to `Ihat` is a straight vertical line, which does not cross any other lines due to the positioning of `epsilon`. 4. **Labels:** - Labels are placed along the arrows using the `node[midway, <position>]` syntax for clarity. # Output Description - **Nodes:** - `\(\mathbf{I}\)` (Universal) is positioned at `(0, 0)`. - `\(\widehat{\mathbf{I}}\)` (Constructed) is positioned at `(4, 0)`. - `\(\hat{\mathbf{i}}\)` (Observed) is positioned at `(2, -2)`. - `\(\epsilon\)` (Resolution) is positioned at `(4, 2)`. - **Connections:** - A horizontal arrow connects `\(\mathbf{I}\)` to `\(\widehat{\mathbf{I}}\)` labeled “Approximation”. - A diagonal arrow connects `\(\mathbf{I}\)` to `\(\hat{\mathbf{i}}\)` labeled “Measurement”. - A vertical arrow connects `\(\epsilon\)` to `\(\widehat{\mathbf{I}}\)` labeled “Shapes”. - A curved arrow connects `\(\epsilon\)` to `\(\hat{\mathbf{i}}\)` labeled “Determines granularity”. # Why This Works - The repositioning of `epsilon` eliminates unnecessary crossings. - The use of a curved arrow ensures that the connection from `epsilon` to `ihat` does not intersect with other lines. - The overall layout is clean and visually appealing, making it easier to understand the relationships between the nodes. # Final Answer The final code is: ```tikz \usetikzlibrary{arrows.meta} \begin{document} \begin{tikzpicture}[node distance=4cm, auto, scale=1.5, transform shape] % Define nodes with bold font for clarity \node[font=\bfseries] (I) at (0, 3) {\(\mathbf{I}\) (Universal)}; \node[font=\bfseries] (Ihat) at (3, 1) {\(\widehat{\mathbf{I}}\) (Constructed)}; \node[font=\bfseries] (ihat) at (0, -1) {\(\hat{\mathbf{i}}\) (Observed)}; \node[font=\small] (epsilon) at (5, -1) {\(\epsilon\) (Resolution)}; % Style for arrows with larger arrowheads \tikzset{every path/.style={->, line width=1pt, >=stealth}} % Draw arrows with grammatically correct and angled edge labels \draw (Ihat) -- (I) node[midway, above, sloped, font=\scriptsize] {Approximates}; \draw (ihat) -- (I) node[midway, left, sloped, font=\scriptsize] {Measures}; \draw (epsilon) -- (Ihat) node[midway, right, font=\tiny] {Shapes}; \draw (epsilon) to[bend right=20] (ihat) node[pos=0.7, below right=8pt, font=\tiny] {Determines granularity}; \draw (Ihat) to[bend left=20] (ihat) node[midway, above, sloped, font=\scriptsize] {Feedback}; \draw (ihat) to[bend left=20] (Ihat) node[midway, below, sloped, font=\scriptsize] {Influence}; \end{tikzpicture} \end{document} ``` This code produces a clear and well-organized diagram. If you have further refinements or additional requirements, let me know! ```plantuml @startuml skinparam { ArrowColor #000000 ArrowFontSize 10 DefaultFontSize 12 DefaultFontName Arial } ' Style for Resolution box epsilon(Resolution) #FFD700 I(Universal) --> Ihat(Constructed) : Approximates Ihat --> ihat(Observed) : Feedback ihat --> Ihat : Influence epsilon --> Ihat : Shapes epsilon --> ihat : Determines granularity I --> ihat : Measures @enduml ``` ```mermaid graph TD I(Universal) -->|Approximates| Ihat(Constructed) Ihat -->|Feedback| ihat(Observed) ihat -->|Influence| Ihat epsilon(Resolution) -->|Shapes| Ihat epsilon -->|Determines granularity| ihat I -->|Measures| ihat ``` # Explanation 1. **Wrapping in Markdown Code Block**: - The code is enclosed in ` ```markdown ` and ` ``` ` to indicate that it should be treated as Markdown but not rendered. 2. **Styling the `Resolution` Node**: - The `style epsilon fill:#FFD700,stroke:#333,stroke-width:2px;` command styles the `Resolution` node with a light yellow background (`#FFD700`) and a dark gray border (`#333`). 3. **Making the `Resolution` Node Smaller**: - The `epsilon[ε (Resolution)]:::smallerNode` syntax ensures the `Resolution` node is smaller than the others. 4. **Positioning the `Resolution` Node**: - The `subgraph` directive groups `Ihat` and `ihat`, ensuring they are positioned together. - The `epsilon` node is placed outside the subgraph, positioning it to the bottom right of `Ihat` and `ihat`. # How to Use This in Obsidian 1. **Install the Obsidian Mermaid Plugin**: - Go to **Settings > Community Plugins** in Obsidian. - Search for **Obsidian Mermaid** and enable it. 2. **Insert the Code**: - Open a note in Obsidian. - Paste the above code into the note, ensuring it is wrapped in the `markdown` code block. 3. **Render the Diagram**: - Save the note. The Mermaid plugin will automatically render the diagram based on the code. # Final Answer The final Mermaid code wrapped in a markdown code block is: ```mermaid graph TD style epsilon fill:#FFD700,stroke:#333,stroke-width:2px; I(Universal) -->|Approximates| Ihat(Constructed) Ihat -->|Feedback| ihat(Observed) ihat -->|Influence| Ihat epsilon(Resolution) -->|Shapes| Ihat epsilon -->|Determines granularity| ihat I -->|Measures| ihat subgraph direction TB Ihat ihat end epsilon[ε (Resolution)]:::smallerNode ``` ```mermaid graph TD style epsilon fill:#FFD700,stroke:#333,stroke-width:2px; I(Universal) -->|Approximates| Ihat(Constructed) Ihat -->|Feedback| ihat(Observed) ihat -->|Influence| Ihat epsilon(Resolution) -->|Shapes| Ihat epsilon -->|Determines granularity| ihat I -->|Measures| ihat subgraph direction TB Ihat ihat end epsilon[ε (Resolution)]:::smallerNode ``` Here's the corrected Mermaid code that resolves the parsing error. I've simplified the syntax and ensured proper formatting: ```mermaid graph TD classDef smallerNode fill:#FFF,stroke:#333,stroke-width:1px,fontsize:10; classDef resolutionNode fill:#FFD700,stroke:#333,stroke-width:2px; I[Universal] -->|Approximates| Ihat[Constructed] Ihat -->|Feedback| ihat[Observed] ihat -->|Influence| Ihat epsilon["ε (Resolution)"]:::resolutionNode -->|Shapes| Ihat epsilon -->|Determines granularity| ihat I -->|Measures| ihat subgraph Ihat ihat end ```