Practice 1
Write a function called equilateral_area(edge_length)
that computes the area of an equilateral triangle with the specified
edge length.
Practice 2
Copy and paste your solution to the previous exercise into this one,
and use it when writing a function
called sierpinski_area(edge_length) that computes the
area of a Sierpinski triangle of order one. A Sierpinski Triangle of
order one is an equilateral triangle with a triangular hole. The
vertices of the hole triangle are the mid points of the Sierpinski
triangle's edges. For example:
When working with functions, abstraction is key. You will soon find yourself in a position where you start thinking about problems in functions. Being able to break a complex problem, like an advanced drawing, into smaller and simpler problems which can be solved with a function can make your code a lot easier to write, and a lot easier to read.
Details
Create a function draw_tree(pen, x_location, y_location,
width) in a file called forest.py. This function
should take as a parameter a turtle object (pen) which can
be used to draw a tree to the turtle window. The base of the tree
should be centered around the point (x_location,y_location) and
the largest set of branches should have a width as
specified. Your tree should look like the tree in the picture in
the example below.
Notice that a tree is defined by a brown square, and four green
triangles which overlap each other. For this, define two additional
functions in the same file. The first should be called
draw_square(pen, x_location, y_location, side_length)
which draws a filled in brown square square centered around the
specified point. The second should be
called
draw_triangle(pen, x_location, y_location, side_length),
which creates an equilateral triangle with the specified side length
centered around the specified point.
It should also be noted that each triangle is 10% smaller than the triangle below.
Test your function by calling the function multiple times with different parameters. Make sure your code follows the course's code conventions.
Example Output
Hint
Challenge
Using a for loop, draw a full forest of trees. You should use a for loop to draw the following collection of trees.
Submission
Please show your source code and run your programs for the instructor or lab assistant. Only a programs that have perfect style and flawless functionality will be accepted as complete.