Unit 7 Lab 1: Trees in a Forest, Page 4

Self-Check: `Tree` Variations

Tim points out that we are missing an "On this page" here. --MF, 5/23/20

We took this recursive tree version and changed it in different ways. Your goal is to figure out what we changed in the code. The original code and picture are shown below:
tree level:(level#) size:(size#){if(level=1){move(size) steps; move(-1*size) steps}else{move(size) steps; turn counterclockwise (15) degrees; tree level:(level-1) size:(size*0.75); turn clockwise(15) degrees; turn clockwise(15) degrees; tree level:(level-1) size:(size*0.75); turn counterclockwise (15); move(-1*size) steps}} tree level: (5) size: (100)-Upwards facing tree with trunk and four levels of branches

Tree with trunk and four levels of branches swaying to the left

Choose one:

We changed the turn amount between branches.

Nice!

We changed the scaling factor (how much the length decreases each time).

Notice how the branches are now tilted differently from those in the original image.

We added additional recursive calls to the function and other angle stuff to make it all work out.

There are still the same number of branches at each stage.

Tree with four branches instead of two splitting at each level

Choose one:

We changed the turn amount between branches.

We did change angles here, but those are not the only changes we made. Where did those extra branches come from?

We changed the scaling factor (how much the length decreases each time).

The branch lengths look pretty similar to the original.

We added additional recursive calls to the function and other angle stuff to make it all work out.

Correct! There are now five recursive calls (branches).

Choose one:

We changed the turn amount between branches.

The angles look pretty similar to the original.

We changed the scaling factor (how much the length decreases each time).

Right! At each stage, the branches are getting longer.

We added additional recursive calls to the function and other angle stuff to make it all work out.

There are the same number of branches, and the angles haven't changed.

Choose one:

We changed the turn amount between branches.

The angles look pretty similar to the original.

We changed the scaling factor (how much the length decreases each time).

Right! At each stage, the branches are staying the same length, rather than shrinking.

We added additional recursive calls to the function and other angle stuff to make it all work out.

There are the same number of branches, and the angles haven't changed.

Choose one:

We changed the turn amount between each branch.

Correct! The turning angles are 90 degrees in this case.

We changed the scaling factor (how much the length decreases each time).

It's a bit hard to tell, but the scale factor is the same as the original.

We added additional recursive calls to the function and other angle stuff to make it all work out.

There are the same number of branches in this tree.

Self-Check: Tree Variations

Self-Check: `Tree` Variations