Have Tracy create a pyramid of circles with 3 circles on the bottom row, 2 on the middle row, and 1 on the top.

Question

Your pyramid should:

rest on the bottom of the canvas
be centered in the x direction
have circles of radius 50
use for loops
Hints:

It would be very helpful to plan out the placement of your pyramid on graph paper and label your coordinates before starting your code!
You can write one for loop to draw the row of 3 circles and reuse it to draw the row of 2 circles- just change the for loop value!
[Extra Challenge: Our circle pyramid has some space between each row (ie: The circle rows are not all touching). Determine a way to make your pyramid rows all touch.]

Answer 1

Sure! To create a pyramid of circles as you've described, you'll want to use a programming language that supports graphical output. Below, I'll provide a simple example using Python's Turtle graphics library. You can adapt the concept to whatever language you’re using.

Python Code (Turtle Graphics)

import turtle

# Function to draw a single circle
def draw_circle(x, y, radius):
    turtle.penup()
    turtle.goto(x, y - radius)  # Move to the starting point
    turtle.pendown()
    turtle.circle(radius)

# Function to draw the pyramid
def draw_pyramid():
    radius = 50
    # Row 1: 3 circles
    for i in range(3):
        draw_circle(i * radius * 2 - radius, 0, radius)  # Centering around origin

    # Row 2: 2 circles
    for i in range(2):
        draw_circle(i * radius * 2 - radius, -radius * 2, radius)  # Adjust y to lower row

    # Row 3: 1 circle
    draw_circle(0, -radius * 4, radius)  # Centering at origin, lower than the other rows

# Setup turtle
turtle.speed(0)  # Fastest drawing
turtle.bgcolor("white")  # Background color
draw_pyramid()  # Draw the pyramid
turtle.hideturtle()  # Hide the turtle
turtle.done()  # Finish

Breakdown of the Code:

1. Function draw_circle: This function draws a circle at a given (x, y) coordinate with the specified radius. It adjusts the turtle position to start drawing the circle from the bottom.

2. Function draw_pyramid: It contains the logic to draw the pyramid:

   • The first for loop draws three circles for the bottom row using the formula i * radius * 2 - radius to calculate x-coordinates so that they are properly spaced and centered.
   • The second for loop draws two circles for the middle row, adjusting the y-coordinate by lowering it by radius * 2 to add separation.
   • Finally, a single circle is drawn on the top.

Extra Challenge (Rows Touching):

If you want the circles to touch, you would remove the vertical spacing adjustment for the y-coordinates. So, you would draw the middle row at the same y-coordinate as the bottom row and adjust the top circle accordingly.

Note:

• Run this code with Python installed and the Turtle module available.
• You can change the radius variable to adjust the size of the circles if needed.