
Составить линейный алгоритмчертёжника , который изображает звезду


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Программа на PascalABC.NET:
uses DrawMan;
const zvezda: array[1..10, 1..2] of integer = ((7, 13), (10, 18), (13, 13), (19, 12), (15, 7), (16, 1), (10, 3), (4, 1), (5, 7), (1, 12));
begin
Field(20, 20);
ToPoint(1, 12);
PenDown;
for var i := 1 to 10 do
ToPoint(zvezda[i, 1], zvezda[i, 2]);
end.



Drawing a Star: Linear Algorithm for a Draftsman
To draw a star using a linear algorithm, we can break down the process into several steps. Here's a step-by-step guide:
1. Determine the size and shape of the star you want to draw. This will help you determine the number of points and the angles between them.
2. Start by defining the center point of the star. This will be the reference point for all other calculations.
3. Calculate the coordinates of the outer points of the star. To do this, you can use trigonometric functions such as sine and cosine. The formula for calculating the coordinates of a point on a circle is:
``` x = centerX + radius * cos(angle) y = centerY + radius * sin(angle) ```
In this formula, `centerX` and `centerY` are the coordinates of the center point, `radius` is the distance from the center to the outer points, and `angle` is the angle between each point.
4. Iterate through the angles and calculate the coordinates of each outer point using the formula mentioned above. Store these coordinates in an array or list.
5. Connect the points to form the star shape. You can do this by drawing lines between consecutive points in the array.
6. Finally, you can add any additional details or decorations to the star, such as filling it with color or adding texture.
Here's a sample implementation in Python:
```python import math
def draw_star(centerX, centerY, radius, num_points): angle = 2 * math.pi / num_points points = []
for i in range(num_points): x = centerX + radius * math.cos(i * angle) y = centerY + radius * math.sin(i * angle) points.append((x, y))
# Connect the points to form the star shape for i in range(num_points): next_point = (i + 2) % num_points draw_line(points[i], points[next_point])
def draw_line(point1, point2): # Code to draw a line between two points pass
# Example usage draw_star(0, 0, 100, 5) ```
This algorithm calculates the coordinates of the outer points of the star using trigonometry and then connects them to form the star shape. You can adjust the parameters, such as the center point, radius, and number of points, to create stars of different sizes and shapes.
Please note that the `draw_line` function is a placeholder, and you would need to replace it with the appropriate code for your specific drawing environment or framework.
I hope this helps you create your star drawing! Let me know if you have any further questions.


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