Snowflake Curve
Construction of the Snowflake
You begin with an equilateral triangle, then divide each side into three equall segments. Remove the middle segment and outcrop another equilater triangle, with its sides measureing a third of the previous side. So for the first two figures, the triangle will have sides measuring 6 units, and the smaller triangles will have sides measuring 2 units and so on. The equtation for the perimeter of these snowfalkes Pn= P1 ( 4/3)^n-1
The Snowflake curve is a continuous and infinite iteration where an equilateral trianlge outcrops from each sideof the iteration, as shown on the left.. This sequence of growing figures has an infinite perimeter, but a finite area. The lengths of each equilater triangle are a third of the previous equilater triangle. An example is shown in the image below.
| vonkoch.zip | |
| File Size: | 205 kb |
| File Type: | zip |
