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Compare Tree Silhouettes and Branch Structures Across Species

Learn to compare conical, spreading, columnar, and weeping tree silhouettes by measuring branch angles and redrawing each type in blank boxes.

Free lesson
Four exercises
Worked answers

Object Drawing Lessons

Tree silhouettes differ mainly in overall outline and branch direction. This lesson teaches a repeatable comparison method: identify the crown shape, trace the main trunk, measure branch angles from vertical, and redraw each silhouette in a blank box using a simple convention. You will compare four labeled types—conical, spreading, columnar, and weeping—then apply the same checks to new examples. All measurements use a protractor or a printed angle guide; any numerical values here are hypothetical examples for practice, not equipment standards. The goal is not a single correct drawing but a defensible comparison supported by visible branch structure.

Practice materials: Printable downloads are not available for this lesson yet. Use the instructions and four exercises below.

Define the silhouette convention

Use a consistent drawing convention so comparisons are fair. Draw the trunk as a single vertical line from ground line to first major branch. Draw primary branches as straight lines from the trunk to the crown edge. Mark the branch angle as the acute angle between the branch line and the vertical trunk line, measured on the side where the branch rises. Record crown width as the horizontal distance between the leftmost and rightmost crown points at the widest level. Record crown height as the vertical distance from ground line to the highest crown point. These four records—trunk line, branch lines, width, and height—form the silhouette data set.

Letter styles and handwriting vary, so labels may be printed, cursive, or mixed. The convention fixes geometry, not lettering. A valid alternative is to draw branches as slightly curved lines if you also mark the straight chord from trunk to tip and measure that chord. State which convention you used beside the drawing.

  1. Draw a ground line and a vertical trunk line.
  2. Mark the first major branch point on the trunk.
  3. Draw primary branches to the crown edge and label each angle from vertical.
  4. Measure crown width at the widest level and crown height from ground to top.
  5. Write the convention used beside the silhouette.

Compare the four silhouette types

Conical: crown tapers to a point; primary branches angle upward and outward, often 30 to 50 degrees from vertical in a hypothetical example. Crown width is greatest near the base. Spreading: crown is broad and rounded; primary branches leave the trunk at wider angles, often 60 to 80 degrees from vertical, and lower branches may approach horizontal. Columnar: crown is narrow and tall; branches stay close to the trunk, often 10 to 25 degrees from vertical, and crown width is small relative to height. Weeping: main branches arch outward then downward; the upward chord angle may be 40 to 70 degrees, but branch tips fall below their attachment points.

Compare types by three checkable ratios: crown width divided by crown height, mean branch angle from vertical, and whether branch tips rise above or fall below attachment points. These ratios let you classify a new silhouette without relying on species names alone.

  1. Classify crown outline as tapering, rounded, narrow, or arching-downward.
  2. Measure three primary branch angles and compute the mean.
  3. Compute crown width divided by crown height.
  4. Note whether most branch tips rise above or fall below their attachment points.
  5. Assign the silhouette type and record the evidence.

Redraw in blank silhouette boxes

Each blank box should contain one silhouette drawn to the same convention. Keep the trunk vertical and the ground line horizontal. Use the measured mean branch angle and width-to-height ratio to guide the redrawing. Do not copy decorative details; the task is structural comparison. If your first drawing differs from the reference by more than 10 degrees in mean branch angle or by more than 0.1 in width-to-height ratio, revise the branch lines and remeasure.

Valid alternatives include drawing only the left half and mirroring it, or drawing branch chords without leaves. Both are acceptable if the convention is stated and the measurements are shown.

  1. Place the trunk line at the box center.
  2. Draw primary branches at the recorded mean angle.
  3. Set crown width using the recorded ratio.
  4. Mark branch tips above or below attachment points.
  5. Label the type and the two measured values.

Check and justify the comparison

A comparison is complete when each silhouette has a type label, a mean branch angle, a width-to-height ratio, and a tip-direction note. Check arithmetic: if three angles are 30, 40, and 50 degrees, the mean is 120 divided by 3, which equals 40 degrees. If crown width is 6 cm and crown height is 12 cm, the ratio is 0.5. Use the same units throughout. A difference of 5 degrees or 0.05 in ratio is within normal drawing variation and should not change the type label.

Justify each label with at least two pieces of evidence. For example, a narrow crown with a ratio of 0.2 and a mean angle of 15 degrees supports columnar. A broad crown with a ratio of 1.2 and a mean angle of 70 degrees supports spreading.

  1. Recompute each mean angle and ratio.
  2. Compare each value with the type ranges.
  3. State two evidence items per label.
  4. Flag any value within 5 degrees or 0.05 of a boundary.
  5. Record the final classification table.

Worked example

A silhouette has crown width 8 cm, crown height 10 cm, and three primary branch angles of 60, 70, and 80 degrees from vertical. Most branch tips rise above their attachment points. Classify the silhouette and justify the label.

Worked answer

Mean angle is (60 + 70 + 80) divided by 3, which equals 70 degrees. Width-to-height ratio is 8 divided by 10, which equals 0.8. A broad crown with a ratio near 0.8 and a mean angle near 70 degrees supports the spreading type. The upward tip direction rules out weeping. Justification: ratio 0.8 is broad, and mean angle 70 degrees is wide; both match spreading.

Four practice exercises

Exercise 1

A silhouette has crown width 4 cm, crown height 16 cm, and branch angles of 10, 20, and 30 degrees from vertical. Branch tips rise above attachment points. Classify the silhouette and justify with two evidence items.

Show answer and check

Columnar. Mean angle is (10 + 20 + 30) divided by 3, which equals 20 degrees. Width-to-height ratio is 4 divided by 16, which equals 0.25. A narrow ratio of 0.25 and a small mean angle of 20 degrees support columnar.

Why: The narrow crown and near-vertical branches match the columnar range. Upward tips rule out weeping. Two evidence items are the ratio and the mean angle.

Check: Recompute 60 divided by 3 equals 20 degrees, and 4 divided by 16 equals 0.25. Confirm both values fall in the columnar ranges stated in the lesson.

Exercise 2

A silhouette has crown width 12 cm, crown height 10 cm, and branch angles of 50, 60, and 70 degrees from vertical. Most branch tips fall below attachment points. Classify the silhouette and justify with two evidence items.

Show answer and check

Weeping. Mean angle is (50 + 60 + 70) divided by 3, which equals 60 degrees. Width-to-height ratio is 12 divided by 10, which equals 1.2. Downward tips and a broad ratio of 1.2 support weeping.

Why: The tip direction is the decisive evidence because upward angles alone could suggest spreading. The broad ratio and downward tips together match weeping.

Check: Recompute 180 divided by 3 equals 60 degrees, and 12 divided by 10 equals 1.2. Confirm that most tips are below attachment points.

Exercise 3

A silhouette has crown width 6 cm, crown height 12 cm, and branch angles of 30, 40, and 50 degrees from vertical. The crown tapers to a point and tips rise above attachment points. Classify the silhouette and justify with two evidence items.

Show answer and check

Conical. Mean angle is (30 + 40 + 50) divided by 3, which equals 40 degrees. Width-to-height ratio is 6 divided by 12, which equals 0.5. A tapering crown and a mean angle of 40 degrees support conical.

Why: The tapering outline distinguishes conical from columnar, which stays narrow without a pointed taper. The ratio and mean angle are secondary evidence.

Check: Recompute 120 divided by 3 equals 40 degrees, and 6 divided by 12 equals 0.5. Confirm the crown outline tapers to a point.

Exercise 4

Two silhouettes are compared. Silhouette A has mean angle 45 degrees and ratio 0.6. Silhouette B has mean angle 50 degrees and ratio 0.65. Both have upward tips. Are they different types under the 5-degree and 0.05 allowance? Justify.

Show answer and check

They are not reliably different types under the stated allowance. The angle difference is 5 degrees and the ratio difference is 0.05, both at the allowance boundary. Without additional evidence such as crown outline, classify them as the same type or as uncertain.

Why: The lesson allows a 5-degree angle difference and a 0.05 ratio difference before changing a label. Both differences sit exactly at the boundary, so the comparison is inconclusive.

Check: Subtract 45 from 50 to get 5 degrees, and subtract 0.6 from 0.65 to get 0.05. Compare each difference with the allowance.

Common mistakes

Self-check rubric

Questions and answers

Do I need a protractor?

A protractor is useful, but you can also print an angle guide or estimate from a grid. State the method used so the comparison remains checkable.

Can I draw curved branches?

Yes, if you also mark the straight chord from trunk to tip and measure the chord angle. State this convention beside the drawing.

How many branches should I measure?

Measure at least three primary branches per silhouette and compute the mean. More branches improve reliability but are not required.

What if two silhouettes have similar ratios?

Use tip direction and crown outline as secondary evidence. A columnar and a conical tree may share a small ratio, but conical tapers to a point while columnar stays narrow and tall.

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