How to draw all polygons, draw all polygons easily

Summary

In this tutorial, the process of drawing regular polygons with any number of sides is explained. Starting with a 50mm line, the method involves using a compass to create circles and marking key points along their circumference. By joining these points, polygons such as squares, pentagons, hexagons, and more are drawn step by step. The video also demonstrates how to find midpoints, divide lines, and apply these techniques to accurately construct any polygon, offering a simple yet effective approach to geometric drawing.

Takeaways

• 😀 To draw any polygon, start by drawing a line equal to the desired side length of the polygon.
• 😀 The length of the initial line can be any desired value, but in this example, it's 50 millimeters.
• 😀 Label the endpoints of the initial line as points A and B, and draw a perpendicular line at point B with the same length as AB.
• 😀 Use a compass to draw an arc with the radius equal to the length of AB, from point B to point C, and then connect points A and C with a straight line.
• 😀 Divide the length of the line AB into two equal parts using the middle point method with a compass.
• 😀 After dividing AB, apply the middle point method again to divide the segment between points 4 and 6 into two equal parts, labeling this point 5.
• 😀 Using a compass, create arcs to locate points 7, 8, and 9 along the vertical line, defining key center points for polygons.
• 😀 To draw a square, use the compass to draw a circle with the radius from point 4 to point A and connect the intersections of the circle with arcs from points A and B.
• 😀 Similarly, a pentagon can be drawn by adjusting the compass to the length between points 0.5 and A and drawing arcs from the center point 0.5.
• 😀 For hexagons, heptagons, octagons, and nonagons, adjust the compass to the corresponding points (6, 7, 8, and 9) and use the same arc-cutting method to complete the polygons.
• 😀 This method can be applied to draw any regular polygon, regardless of the number of sides, by adjusting the compass to different center points.

Q & A

What is the first step to drawing any polygon as described in the video?

The first step is to draw a line whose length is equal to the required side length of the polygon. In this case, the length is 50 millimeters.

How do you label the endpoints of the initial line drawn?

The endpoints of the initial line are labeled as points A and B.

What is the purpose of drawing a perpendicular line at point B?

The perpendicular line at point B should have the same length as the initial horizontal line, helping to create a reference for further construction.

How is the compass used in the process?

The compass is adjusted to the length of the line AB and is used to draw an arc from point A to point C, forming part of the construction for the polygon.

What is the 'middle point method' and how is it applied in the script?

The middle point method involves using a compass to find the midpoint between two points. In the script, it is applied to divide the line AB into two equal parts, and then again to divide the segment between points 4 and 6 into two halves.

How do you divide the segment between points 4 and 6 into halves?

By applying the middle point method again, drawing a line through the points where the arcs intersect, and labeling the resulting midpoint as point 5.

What is the role of the compass after finding point 5?

The compass is adjusted to the distance between points 5 and 6, and arcs are drawn on the vertical line, with the points being labeled as 7, 8, and 9. These points help define the center of the polygon.

How can you draw a square using the method described in the video?

To draw a square, use the compass to draw a circle with a radius equal to the length between point 4 and point A. Then, use the length AB to cut arcs on the circumference of the circle and join the resulting points to form the square.

What changes when drawing polygons with more sides, like pentagons or hexagons?

For polygons with more sides, you adjust the compass to the distance between points 5 and A for a pentagon, or points 6 and A for a hexagon, and use these lengths to draw circles and arcs at the respective centers.

How do you draw a nonagon using this method?

To draw a nonagon, adjust the compass to the length between point 9 and point A, draw a circle using point 9 as the center, and cut arcs on the circumference with the length AB. Join these points to form the nonagon.