The Koch Snowflake

Students will analyze the perimeters of stages of the Koch Snowflake and note that the perimeter grows by a factor of 4/3 from one stage to the next. This means that the perimeter of this figure grows without bound even though its area is bounded. This effect was noted in the late 1800's and has been called the Coastline Paradox.

Resource ID#: 124472 Type: Worksheet

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General Information

Subject(s): Mathematics

Grade Level(s): 9, 10, 11, 12

Intended Audience: Educators

Suggested Technology: Basic Calculators

Instructional Time: 50 Minute(s)

Keywords: Koch snowflake, Snowflake, Perimeter, Fractal, Coastline paradox

Instructional Component Type(s): Worksheet

Instructional Design Framework(s): Structured Inquiry (Level 2)

Resource Collection: Integrated STEM Centered on Geometry Follow-up Program

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