Fractals for the Classroom: Strategic Activities, Parte1

24 32 Boxcount Activity Sheets algorithm appear area at stage box dimension branches Cantor set Cellular automata chaos game color the cell coloring look-up table completed tree CONNECTIONS construction process corresponding Count the number data points dots double logarithmic plot endpoints entries exponential function fractal dimension fractal shape fully grown geometric sequence given stage graphing calculator Hartmut Jürgens Implicit Discoveries infinitum iterative process Koch curve Koch snowflake large without bound line segment linear graph log 1/x mathematics midpoints modulo move halfway number of pixels number of rolls number of shaded number of triangles number patterns Pascal's triangle path Peano curve pixels lit power function power relationship random self-similarity dimension semilogarithmic shown Sierpinski tetrahedron Sierpinski triangle skydiver Specific Directions Stage 1 Stage stage-2 triangle standard graph paper straight line strategic activities strictly self-similar string subsquares subtriangles successive stages underlying variables vertex vertical visual