Sierpinski Curve
There are several Fractal curves associated with Sierpinski. The above curve is one example, and theSierpinski Arrowhead Curve is another. The limit of the curve illustrated abovehas Area
The Area for a related curve illustrated by Cundy and Rollett (1989) is
See also Exterior Snowflake, Gosper Island, Hilbert Curve, Koch Antisnowflake, Koch Snowflake,Peano Curve, Peano-Gosper Curve, Sierpinski Arrowhead Curve
References
Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., pp. 67-68, 1989. Dickau, R. M. ``Two-Dimensional L-Systems.''http://forum.swarthmore.edu/advanced/robertd/lsys2d.html. Gardner, M. Penrose Tiles and Trapdoor Ciphers... and the Return of Dr. Matrix, reissue ed. New York: W. H. Freeman, p. 34, 1989. Wagon, S. Mathematica in Action. New York: W. H. Freeman, p. 207, 1991.
- Generalized Matrix Inverse
- Generalized Mean
- Generalized Remainder Method
- General Linear Group
- General Orthogonal Group
- General Position
- General Prismatoid
- General Unitary Group
- Generating Function
- Generation
- Generator (Digitaddition)
- Generator (Group)
- Genetic Algorithm
- Genocchi Number
- Gentle Diagonal
- Gentle Giant Group
- Genus (Curve)
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- Genus (Surface)
- Genus Theorem
- Geocentric Latitude
- Geodesic
- Geodesic Curvature
- Geodesic Dome
- Geodesic Equation