This is not a direct answer, but may I point you to an earlier question of Ryan Budneyan earlier question of Ryan Budney, and to the paper by Bennett Chow and David Glickenstein,
"Semidiscrete Geometric Flows of Polygons." American Mathematical Monthly. April 2007. (MAA link)
Under their discrete flow, every simple polygon converges to a point whose shape is asymptotically an affine transformation of a regular polygon.
This is not a direct answer, but may I point you to an earlier question of Ryan Budney, and to the paper by Bennett Chow and David Glickenstein,
"Semidiscrete Geometric Flows of Polygons." American Mathematical Monthly. April 2007. (MAA link)
Under their discrete flow, every simple polygon converges to a point whose shape is asymptotically an affine transformation of a regular polygon.
This is not a direct answer, but may I point you to an earlier question of Ryan Budney, and to the paper by Bennett Chow and David Glickenstein,
"Semidiscrete Geometric Flows of Polygons." American Mathematical Monthly. April 2007. (MAA link)
Under their discrete flow, every simple polygon converges to a point whose shape is asymptotically an affine transformation of a regular polygon.
This is not a completedirect answer, but may I point you to an earlier question of Ryan Budney, and to the paper by Bennett Chow and David Glickenstein,
"Semidiscrete Geometric Flows of Polygons." American Mathematical Monthly. April 2007. (MAA link)
Under their discrete flow, every simple polygon converges to a point whose shape is asymptotically an affine transformation of a regular polygon.
This is not a complete answer, but may I point you to an earlier question of Ryan Budney, and to the paper by Bennett Chow and David Glickenstein,
"Semidiscrete Geometric Flows of Polygons." American Mathematical Monthly. April 2007. (MAA link)
Under their discrete flow, every simple polygon converges to a point whose shape is asymptotically an affine transformation of a regular polygon.
This is not a direct answer, but may I point you to an earlier question of Ryan Budney, and to the paper by Bennett Chow and David Glickenstein,
"Semidiscrete Geometric Flows of Polygons." American Mathematical Monthly. April 2007. (MAA link)
Under their discrete flow, every simple polygon converges to a point whose shape is asymptotically an affine transformation of a regular polygon.
This is not a complete answer, but may I point you to an earlier question of Ryan Budney, and to the paper by Bennett Chow and David Glickenstein,
"Semidiscrete Geometric Flows of Polygons." American Mathematical Monthly. April 2007. (MAA link)
Under their discrete flow, every simple polygon converges to a point whose shape is asymptotically an affine transformation of a regular polygon.
