Free original lessons
Cross-Contour Tree Drawing: Wrap Lines Around Trunk and Branches
Learn to draw a tree using cross-contour lines that follow trunk and branch surfaces. Includes a convention, worked example, practice tasks, and a rubric for valid alternatives.
Free lesson
Four exercises
Worked answers
Object Drawing Lessons
Cross-contour lines are lines that wrap around a form to show its three-dimensional volume. In a tree drawing, these lines follow the imagined surface of the trunk and branches rather than describing bark texture or leaf detail. This lesson defines a clear convention for cross-contour tree drawing, provides a worked example, and offers four self-contained practice tasks. You will use simple checkable arithmetic and consistent units, and you will measure your actual drawing tools rather than relying on assumed tolerances. All planned resources are free but not yet built; the instructional text here is complete on its own.
Practice materials: Printable downloads are not available for this lesson yet. Use the instructions and four exercises below.
Convention for Cross-Contour Tree Lines
Use a single continuous line for each cross-contour. The line should curve around the trunk or branch as if it were a thin band wrapped around a cylinder. Lines are spaced evenly along the length of the form, and each line closes on itself or meets the form's edge cleanly. Do not add bark texture, leaf shapes, or shading; the only marks are the cross-contour lines and the outer contour of the tree.
Define the tree's main axis as a vertical centerline for the trunk. Cross-contour lines cross this axis at approximately right angles in the drawing's projection, but they curve to suggest the round surface. For branches, the same rule applies: lines wrap around the branch's local axis. Letter styles and line weights may vary; the convention is about direction and spacing, not a single universal appearance.
- Draw the outer contour of the trunk and two main branches with a light line.
- Mark the trunk's vertical centerline and each branch's local axis.
- Draw cross-contour lines across the trunk at evenly spaced intervals, curving them to suggest a round surface.
- Repeat on each branch, keeping spacing proportional to the branch's diameter.
- Check that no line describes bark texture or leaf detail; erase any such marks.
Spacing and Proportion
Choose a spacing unit for the trunk, for example 1 cm between cross-contour lines along the trunk axis. This is a hypothetical example; measure your actual paper and pencil to set a workable spacing. For a branch with half the trunk's diameter, use half the spacing, about 0.5 cm, so the lines remain visually proportional. Keep units consistent: if you measure in centimeters, record all spacings in centimeters.
Count the lines you plan. If the trunk is 12 cm long and spacing is 1 cm, you need about 12 intervals, which means 13 lines including both ends. For a 6 cm branch at 0.5 cm spacing, you need about 12 intervals, or 13 lines. These counts are simple arithmetic checks, not manufacturing standards.
- Measure the trunk length and branch lengths on your paper in centimeters.
- Choose a trunk spacing in centimeters and record it.
- Compute branch spacing as trunk spacing multiplied by the ratio of branch diameter to trunk diameter.
- Compute the number of intervals as length divided by spacing, then add one for the end lines.
- Adjust spacing if the count is too dense or too sparse for your pencil.
Valid Alternatives and Rubric Use
Cross-contour drawing allows valid alternatives. Lines may be drawn with a graphite pencil, colored pencil, or fine pen; line weight may be uniform or slightly varied; spacing may be uniform or gently varied to suggest taper. The rubric rewards clear wrapping direction, consistent spacing logic, and absence of excluded detail. A drawing with slightly uneven spacing can still meet the standard if the wrapping direction is clear and the spacing follows a stated rule.
Use the rubric to self-check before submitting. Each criterion is scored 0, 1, or 2. A total of 8 or more out of 12 is a passing self-check, but the rubric is a guide, not a universal answer key. Record your spacing rule and line count so another person can verify your arithmetic.
- State your spacing rule in centimeters for trunk and branches.
- Count cross-contour lines on the trunk and on each branch.
- Verify that lines wrap around the form and do not depict bark or leaves.
- Score each rubric criterion and sum the points.
- Revise any criterion scored 0 before finalizing.
Worked example
A trunk is 10 cm long on paper with a diameter of 4 cm. One branch is 5 cm long with a diameter of 2 cm. Using a trunk spacing of 1 cm, compute branch spacing and the number of intervals and lines for trunk and branch.
Worked answer
Branch spacing is 1 cm multiplied by 2/4, which equals 0.5 cm. Trunk intervals: 10 cm divided by 1 cm equals 10 intervals, so 11 lines including both ends. Branch intervals: 5 cm divided by 0.5 cm equals 10 intervals, so 11 lines including both ends. Draw 11 curved cross-contour lines on the trunk and 11 on the branch, wrapping around each form.
Four practice exercises
Exercise 1
A trunk is 8 cm long with a diameter of 3 cm. A branch is 4 cm long with a diameter of 1.5 cm. Use a trunk spacing of 1 cm. Compute branch spacing, trunk intervals, trunk lines, branch intervals, and branch lines.
Show answer and check
Branch spacing is 1 cm times 1.5/3, which equals 0.5 cm. Trunk intervals: 8 divided by 1 equals 8, so 9 lines. Branch intervals: 4 divided by 0.5 equals 8, so 9 lines.
Why: Spacing scales with diameter ratio. Intervals equal length divided by spacing; lines equal intervals plus one for the end lines.
Check: Recompute 1.5/3 = 0.5; 8/1 = 8; 4/0.5 = 8; add one to each interval count. Confirm units are centimeters throughout.
Exercise 2
A trunk is 12 cm long with a diameter of 4 cm. Use a trunk spacing of 1.5 cm. Compute trunk intervals and trunk lines. Then state one valid alternative spacing rule and its line count.
Show answer and check
Trunk intervals: 12 divided by 1.5 equals 8, so 9 lines. A valid alternative is 1 cm spacing: 12 divided by 1 equals 12 intervals, so 13 lines.
Why: The arithmetic check uses length divided by spacing. The alternative is valid because it states a spacing rule in centimeters and keeps units consistent.
Check: Verify 12/1.5 = 8 and 12/1 = 12; add one to each. Confirm the alternative rule is recorded in centimeters.
Exercise 3
A branch is 6 cm long with a diameter of 2 cm. The trunk spacing is 1 cm and the trunk diameter is 4 cm. Compute branch spacing, branch intervals, and branch lines. Describe how the lines should wrap around the branch.
Show answer and check
Branch spacing is 1 cm times 2/4, which equals 0.5 cm. Branch intervals: 6 divided by 0.5 equals 12, so 13 lines. Lines should curve around the branch's local axis, crossing the axis at approximately right angles in projection and closing cleanly on the outer contour.
Why: Spacing scales by diameter ratio. Wrapping direction follows the branch axis, not the trunk axis.
Check: Recompute 2/4 = 0.5; 6/0.5 = 12; add one. Check that each line curves around the branch and does not depict bark or leaves.
Exercise 4
A trunk is 9 cm long with a diameter of 3 cm. A branch is 3 cm long with a diameter of 1 cm. Use a trunk spacing of 1 cm. Compute all spacings, intervals, and lines. Then list two mistakes to avoid and how to fix them.
Show answer and check
Branch spacing is 1 cm times 1/3, which equals about 0.33 cm. Trunk intervals: 9 divided by 1 equals 9, so 10 lines. Branch intervals: 3 divided by 0.33 equals about 9, so about 10 lines. Mistakes to avoid: straight lines without curvature, fixed by curving lines around the form; adding bark texture, fixed by erasing texture and keeping only cross-contour lines.
Why: The branch spacing uses the diameter ratio 1/3. Rounding to 0.33 cm is acceptable if stated. The mistakes list matches the boundary and convention.
Check: Recompute 1/3 ≈ 0.33; 9/1 = 9; 3/0.33 ≈ 9; add one. Confirm the two mistakes are from the provided list and the fixes address the boundary.
Common mistakes
- Drawing straight horizontal lines across the trunk without curvature. Curve each line slightly to suggest the round surface, keeping the line's direction consistent with the form's axis.
- Adding bark texture or leaf shapes inside the cross-contour lines. Erase texture and leaf marks; the boundary excludes bark rendering and leaf detail.
- Using the same spacing on trunk and thin branches. Scale spacing to diameter: if a branch is half the trunk diameter, use half the trunk spacing.
- Leaving cross-contour lines open or crossing the outer contour messily. Close each line on itself or meet the outer contour cleanly, and redraw any line that crosses outside the form.
Self-check rubric
- Wrapping direction: lines curve around the trunk and branch surfaces (0-2 points).
- Spacing logic: spacing is stated in centimeters and scaled to diameter (0-2 points).
- Boundary compliance: no bark texture, leaf detail, or shading (0-2 points).
- Line closure: each cross-contour closes or meets the outer contour cleanly (0-2 points).
- Arithmetic check: line counts match the stated spacing rule (0-2 points).
- Valid alternative allowance: variation is explained and does not violate the convention (0-2 points).
Questions and answers
Do I need to draw every branch?
No. Draw the trunk and at least two main branches. Additional branches are optional if they remain within the boundary and do not add leaf detail.
Can I use a ruler for spacing?
Yes. Measure your actual paper and pencil, record spacings in centimeters, and keep units consistent. Rulers help with arithmetic checks but do not replace the curved wrapping direction.
What if my lines are not perfectly even?
Slight variation is acceptable if you state a spacing rule and the wrapping direction is clear. The rubric allows valid alternatives rather than a single universal answer.
Is shading allowed?
No. Shading is outside the boundary. Use only cross-contour lines and the outer contour.