[seqfan] A178789 Koch snowflake angles description

Kevin Ryde user42 at zip.com.au
Tue Dec 17 19:45:35 CET 2013


I found the description

  A178789 Koch snowflake: number of angles after n iterations.

a bit hard to understand exactly what it counted.  I thought first
"angles" might mean how many angles could be made by taking points
pairwise, but that's bigger.

I take it it refers to "acute" angles, which are the pointy points,
which are the right hand turns when going clockwise.  Eg. n=3 ascii art
below "*" points are a(3)=18.  Perhaps the description could be extended
or clarified somehow.

                          *
                         / \
                   *----@   @----*
                    \           /
            *        @         @        *
           / \      /           \      / \
     *----@   @----@             @----@   @----*
      \                                       /
       @                                     @
      /                                       \
     *----@                               @----*
           \                             /
            @                           @
           /                             \
     *----@                               @----*
      \                                       /
       @                                     @
      /                                       \
     *----@   @----@             @----@   @----*
           \ /      \           /      \ /
            *        @         @        *
                    /           \
                   *----@   @----*
                         \ /
                          *



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