{"id":856,"date":"2017-09-06T18:57:09","date_gmt":"2017-09-06T22:57:09","guid":{"rendered":"https:\/\/geekhaus.com\/math103_fall2017\/?p=856"},"modified":"2017-10-11T11:21:13","modified_gmt":"2017-10-11T15:21:13","slug":"koch-snowflake-fractal-2","status":"publish","type":"post","link":"https:\/\/geekhaus.com\/math103_fall2017\/2017\/09\/06\/koch-snowflake-fractal-2\/","title":{"rendered":"Koch Snowflake"},"content":{"rendered":"

The first fractal I want to print is the Koch Snowflake. According to Wikipedia, the Koch Snowflake<\/a>\u00a0is a mathematical curve and one of the earliest fractal curves to have been described. It is based on the Koch Curve which appeared in a 1904 paper titled “On a continuous curve without tangents, constructible from elementary geometry”.\u00a0The progression for the area of the snowflake converges to\u00a08\/<\/span>5<\/span>\u00a0times the area of the original triangle, while the progression for the snowflake’s perimeter diverges to infinity. Here’s an illustration from the same Wikipedia page article where you can see the repeating pattern of the Koch Snowflake.<\/p>\n

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This Khan Academy video<\/a> goes into depth about the Koch Snowflake’s perimeter, area, and volume. They say this a\u00a0shape that has an infinite perimeter but finite area. The thing I found interesting about the Koch Snowflake was that it looks the same or very similar at any scale you look at it.<\/p>\n