A fractal is a geometric object that has an complicated boundary and is self-similar at all scales. One property of fractals is that, as the complexity of the shape increases, the area or volume approaches a finite value and the length of the boundary approaches infinity.
Manipulative 1 is a representation of a Sierpinski triangle. A Sierpinski triangle starts as a equilateral triangle. At each iteration, an area in the shape of an upside-down equilateral triangle 1/4 the size of the triangle is removed from each triangle. At each iteration, the area decreases by 1/4 and the length of the boundary increases by 1/3.
All Math Words Encyclopedia is a service of
Life is a Story Problem LLC.
Copyright © 2018 Life is a Story Problem LLC. All rights reserved.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License