Uploaded July 2026 | Updated September 2026, 2 weeks ago
In this video, we explore the fascinating world of fractals and discover how complex patterns emerge through simple repeated steps. Through examples like the Sierpinski Carpet and the Koch Snowflake, we learn to identify patterns, derive formulas, and understand the mathematical beauty hidden in nature and art.
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!
khanacademy.org/math/class-8-ncf/x7eef1bd24a76901b:exploring-some-geometric-themes?lang=en
Timestamps:
00:00 Introduction
00:46 Sierpinski Carpet
04:30 Sierpinski Triangle
06:39 The Koch Snowflake
07:50 Number of sides at nth step of Koch Snowflake
09:02 Perimeter of the Koch Snowflake at nth step
10:35 Fractals in Art and Culture
Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month.
Support Us: india.khanacademy.org/donate
In this video, we explore the fascinating world of fractals and discover how complex patterns emerge through simple repeated steps. Through examples like the Sierpinski Carpet and the Koch Snowflake, we learn to identify patterns, derive formulas, and understand the mathematical beauty hidden in nature and art.
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now!
khanacademy.org/math/class-8-ncf/x7eef1bd24a76901b:exploring-some-geometric-themes?lang=en
Timestamps:
00:00 Introduction
00:46 Sierpinski Carpet
04:30 Sierpinski Triangle
06:39 The Koch Snowflake
07:50 Number of sides at nth step of Koch Snowflake
09:02 Perimeter of the Koch Snowflake at nth step
10:35 Fractals in Art and Culture
Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month.
Support Us: india.khanacademy.org/donate

