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Mathmatics of snowflake ❄️ The Koch snowflake is a famous fractal curve, created by starting with an equilateral triangle and infinitely repeating a process of adding smaller triangles to the middle of each side, resulting in a shape with infinite perimeter but finite area, exhibiting self-similarity at any scale. Described by mathematician Helge von Koch in 1904, it's built by dividing sides into thirds, replacing the middle segment with two new segments forming a peak, and continuing forever.
0:14
Mathmatics of snowflake ❄️ The Koch snowflake is a famous fractal curve, created by starting with an equilateral triangle and infinitely repeating a process of adding smaller triangles to the middle of each side, resulting in a shape with infinite perimeter but finite area, exhibiting self-similarity at any scale. Described by mathematician Helge von Koch in 1904, it's built by dividing sides into thirds, replacing the middle segment with two new segments forming a peak, and continuing forever.
111 views4 months ago
FacebookSagesutr
The Koch Snowflake is one of the most famous fractals—a shape that repeats itself at every scale. It’s built using a very simple process, but leads to mind-blowing results. --- How it’s made : 1. Start with an equilateral triangle. 2. Divide each side into 3 equal parts. 3. Construct an equilateral triangle on the middle segment of each side. 4. Remove the base of that new triangle. 5. Repeat the process forever for every line segment. --- What’s crazy about it: 🧐 • Infinite Perimeter: Every ti
0:12
The Koch Snowflake is one of the most famous fractals—a shape that repeats itself at every scale. It’s built using a very simple process, but leads to mind-blowing results. --- How it’s made : 1. Start with an equilateral triangle. 2. Divide each side into 3 equal parts. 3. Construct an equilateral triangle on the middle segment of each side. 4. Remove the base of that new triangle. 5. Repeat the process forever for every line segment. --- What’s crazy about it: 🧐 • Infinite Perimeter: Every ti
1.6K views1 year ago
FacebookTHE GRAPHER
The Koch snowflake, first described in 1904, is a paradox made visible. It is a curve of infinite length enclosing a finite area. Starting with a simple triangle, it grows by repeatedly adding smaller triangles to its sides. With each step, its perimeter becomes longer, stretching towards infinity, yet it never escapes its bounded shape. This is the geometry of growth—a simple rule, repeated, giving rise to infinite complexity. It's how nature builds, from a coastline to a crystal. ​Hashtags: #K
0:08
The Koch snowflake, first described in 1904, is a paradox made visible. It is a curve of infinite length enclosing a finite area. Starting with a simple triangle, it grows by repeatedly adding smaller triangles to its sides. With each step, its perimeter becomes longer, stretching towards infinity, yet it never escapes its bounded shape. This is the geometry of growth—a simple rule, repeated, giving rise to infinite complexity. It's how nature builds, from a coastline to a crystal. ​Hashtags: #K
269 views6 months ago
Facebookૐ Psychedelia
A snowflake with infinite boundary length, finite area. That's the magic of the Koch snowflake—one of math's most beautiful paradoxes. This means it will take you forever to walk around this finite area shape. How is that even possible?! The secret? Every time you add detail, those tiny triangles contribute length but barely any space. It's the same trick nature uses in coastlines, snowflakes, and even your lungs—packing infinite complexity into limited space. Math isn't just numbers. It's a won
1:18
A snowflake with infinite boundary length, finite area. That's the magic of the Koch snowflake—one of math's most beautiful paradoxes. This means it will take you forever to walk around this finite area shape. How is that even possible?! The secret? Every time you add detail, those tiny triangles contribute length but barely any space. It's the same trick nature uses in coastlines, snowflakes, and even your lungs—packing infinite complexity into limited space. Math isn't just numbers. It's a won
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