To draw contour lines on a grid, you essentially connect points of equal elevation across the entire grid, creating continuous, smooth lines that represent the terrain's shape. This process transforms discrete elevation data into a visual representation of topography.
Understanding Contour Lines on a Grid
Contour lines are imaginary lines on a map or grid that connect points of equal elevation above a given reference point, usually sea level. When drawing them on a grid, you're translating numerical elevation data into a graphic depiction of hills, valleys, and slopes.
The core principle, as highlighted in the provided reference, is to draw a "line with no brakes" that connects "all of the elevations" of a specific value (e.g., "elevation 50") across the grid. It's crucial to remember that "in general there's no real straight lines in contour lines in nature," meaning your drawn lines should typically be smooth and curving, reflecting natural landforms.
Step-by-Step Guide to Drawing Contour Lines
Drawing contour lines on a grid involves a systematic approach to ensure accuracy and proper representation of the terrain.
1. Prepare Your Grid and Data
- Setup the Grid: Start with a grid where each intersection point or cell center has a recorded elevation value. These values are your raw data points.
- Determine Contour Interval: Decide on the vertical distance between consecutive contour lines (e.g., 10 feet, 20 meters). This is known as the contour interval. A smaller interval shows more detail, but can clutter the map.
2. Identify and Mark Target Elevations
- Locate Specific Values: Scan your grid for points that exactly match one of your chosen contour elevations (e.g., 50, 60, 70). Lightly mark these points.
- Interpolate Between Points: For most contour lines, you'll need to estimate the location of the contour line between two known elevation points.
- Example: If you have an elevation of 45 at one grid point and 55 at an adjacent point, the 50-unit contour line would fall exactly halfway between them.
- Uneven Spacing: If the values are 40 and 55, the 50-unit line would be closer to the 55 point. You can visually estimate or use a proportional calculation: (Target Elevation - Lower Value) / (Higher Value - Lower Value) * Distance.
3. Connect the Points of Equal Elevation
- Start a Contour Line: Begin drawing a line from one of your marked or interpolated points that represents a specific contour elevation.
- "Line with No Brakes": As emphasized in the reference, draw this line continuously. It should never stop abruptly in the middle of the grid unless it reaches the edge of the map.
- Connect All Similar Elevations: Connect all the points on the grid that share this same elevation value. The line will weave its way across the grid, always maintaining the same elevation.
- Avoid Straight Lines: Remember that "there's no real straight lines in contour lines in nature." Your lines should be smooth and curving, reflecting the natural undulations of the landscape. Avoid sharp angles unless they specifically represent a distinct geological feature (which is rare for natural contours).
4. Follow Contour Line Rules
- Never Cross: Contour lines for different elevations should never cross each other, as one point cannot have two different elevations. (Exceptions exist for vertical cliffs, where they merge, but they don't cross.)
- Close or Extend to Edge: A contour line either forms a closed loop (indicating a hill or depression) or runs off the edge of the grid.
- Index Contours: For readability, every fifth contour line (or another chosen interval) is often drawn bolder and labeled with its elevation.
5. Label Your Contour Lines
- Add Elevation Labels: Periodically label each contour line with its elevation value. This helps in understanding the terrain represented. Labels should be placed in a way that doesn't obstruct the line itself and typically face uphill.
Practical Tips for Accuracy and Clarity
- Pencil First: Always start by sketching lightly in pencil, especially when interpolating or unsure of the line's path.
- Practice Interpolation: Accurate interpolation is key to smooth and realistic contours. The more grid points you have, the easier and more accurate this process becomes.
- Visualize the Terrain: As you draw, try to imagine the 3D shape the lines are forming. This helps in understanding where hills rise and valleys fall.
- Consider Contour Interval: Choose a contour interval appropriate for the terrain's variability. Flat areas might need a small interval to show detail, while steep areas might use a larger one to avoid clutter.
By following these steps, you can effectively translate numerical elevation data on a grid into informative and visually accurate contour maps.