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Hendecagram (Eleven-Pointed Star)

      A Swiss mathematician by the name of Ludwig Schlafli developed a notational system that defines all sorts of interesting shapes. For this discussion we are only interested in eleven-pointed stars. However, Schlafli's notational system can be used to define all sorts of complicated geometric patterns. As for hendecagrams, the notation always includes an eleven in the first spot, but the second number can be any number from two to ten, like so:


 {11/2}   {11/3}   {11/4}   {11/5}   {11/6}   {11/7}   {11/8}   {11/9}

By the way, {11/1} denotes a hendecagon, for your information. So, it's easy to see that the first number in this notation corresponds to the number of vertices in a hendecagram or hendecagon. What is less obvious, is that the second number defines the number of vertices skipped when connecting vertices. So, applying this idea, it's easy to see why {11/1} defines a hendecagon. Watch the video carefully and this system will make sense as it applies to hendecagrams and other two dimensional objects.



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Lyrics:

Eleven-pointed star
Four configurations
Eleven-pointed star
Four permutations

Hendecagrams are eleven-pointed
Or you could say that they're eleven-jointed
Perhaps in some way they may be annointed
And there is no way you'll be disappointed
Suffice it to say that they're eleven-pointed


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