Regular star polygon graphs
I generated SVG images for all regular star polygons up to 50 sides, specifically {p/q}, q<p/2 and gcd(p,q)=1. It's VERY long for the article, so I put them here for reference. I copied ones up to 20 at List_of_regular_polytopes#Stars. Tom Ruen (talk) 09:35, 22 January 2015 (UTC)[reply]
{5/2}
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{7/2}
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{7/3}
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{8/3}
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{9/2}
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{9/4}
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{10/3}
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{11/2}
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{11/3}
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{11/4}
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{11/5}
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{12/5}
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{13/2}
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{13/3}
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{13/4}
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{13/5}
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{13/6}
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{14/3}
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{14/5}
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{15/2}
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{15/4}
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{15/7}
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{16/3}
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{16/5}
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{16/7}
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{17/2}
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{17/3}
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{17/4}
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{17/5}
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{17/6}
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{17/7}
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{17/8}
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{18/5}
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{18/7}
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{19/2}
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{19/3}
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{19/4}
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{19/5}
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{19/6}
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{19/7}
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{19/8}
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{19/9}
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{20/3}
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{20/7}
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{20/9}
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{21/2}
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{21/4}
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{21/5}
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{21/8}
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{21/10}
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{22/3}
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{22/5}
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{22/7}
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{22/9}
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{23/2}
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{23/3}
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{23/4}
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{23/5}
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{23/6}
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{23/7}
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{23/8}
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{23/9}
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{23/10}
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{23/11}
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{24/5}
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{24/7}
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{24/11}
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{25/2}
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{25/3}
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{25/4}
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{25/6}
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{25/7}
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{25/8}
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{25/9}
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{25/11}
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{25/12}
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{26/3}
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{26/5}
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{26/7}
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{26/9}
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{26/11}
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{27/2}
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{27/4}
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{27/5}
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{27/7}
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{27/8}
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{27/10}
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{27/11}
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{27/13}
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{28/3}
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{28/5}
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{28/9}
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{28/11}
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{28/13}
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{29/2}
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{29/3}
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{29/4}
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{29/5}
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{29/6}
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{29/7}
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{29/8}
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{29/9}
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{29/10}
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{29/11}
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{29/12}
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{29/13}
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{29/14}
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{30/7}
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{30/11}
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{30/13}
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{31/2}
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{31/3}
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{31/4}
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{31/5}
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{31/6}
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{31/7}
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{31/8}
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{31/9}
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{31/10}
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{31/11}
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{31/12}
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{31/13}
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{31/14}
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{31/15}
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{32/3}
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{32/5}
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{32/7}
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{32/9}
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{32/11}
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{32/13}
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{32/15}
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{33/2}
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{34/3}
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{34/5}
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{34/7}
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{34/9}
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{34/11}
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{34/13}
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{34/15}
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{35/2}
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{36/5}
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{37/2}
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{38/11}
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{39/2}
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{40/3}
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{40/7}
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{40/9}
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{40/11}
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{40/13}
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{40/17}
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{40/19}
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{41/2}
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{42/5}
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{42/11}
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{42/13}
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{42/17}
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{42/19}
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{43/2}
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{44/2}
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{46/3}
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{47/2}
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{48/5}
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{48/7}
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{48/11}
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{48/13}
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{48/17}
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{48/19}
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{48/23}
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{49/2}
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{50/3}
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{50/7}
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{50/9}
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{50/11}
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{50/13}
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{50/17}
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{50/23}
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{50/19}
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{50/21}
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{60/7}
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{60/11}
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{60/13}
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{60/17}
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{60/19}
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{60/23}
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{60/29}
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{64/3}
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{64/5}
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{64/7}
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{64/9}
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{64/11}
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{64/13}
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{64/15}
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{64/17}
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{64/19}
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{64/21}
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{64/23}
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{64/25}
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{64/27}
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{64/29}
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{64/31}
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{70/3}
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{70/9}
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{70/11}
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{70/13}
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{70/17}
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{70/19}
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{70/23}
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{70/27}
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{70/29}
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{70/31}
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{70/33}
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{80/7}
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{80/9}
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{80/3}
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{80/19}
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{80/13}
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{80/11}
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{80/17}
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{80/27}
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{80/23}
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{80/29}
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{80/31}
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{80/21}
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{80/39}
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{80/37}
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{80/33}
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{90/7}
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{90/11}
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{90/13}
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{90/17}
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{90/23}
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{90/19}
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{90/31}
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{90/29}
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{90/43}
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{90/37}
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{90/41}
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{96/5}
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{96/7}
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{96/11}
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{96/13}
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{96/17}
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{96/19}
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{96/23}
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{96/25}
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{96/29}
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{96/31}
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{96/35}
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{96/37}
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{96/41}
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{96/43}
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{96/47}
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{100/3}
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{100/9}
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{100/7}
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{100/11}
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{100/13}
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{100/21}
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{100/19}
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{100/17}
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{100/27}
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{100/31}
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{100/29}
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{100/23}
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{100/41}
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{100/33}
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{100/37}
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{100/39}
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{100/43}
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{100/47}
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{100/49}
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Regular star figures graphs
Here's some star figures (compounds) too, n{p/q} with p=2..16, q=1..p/2, and n*p<32. I colored the edges, but looks like yellow was a poor color choice. Tom Ruen (talk) 10:52, 22 January 2015 (UTC) Digon compounds added in first row. Tom Ruen (talk) 18:56, 31 January 2015 (UTC)[reply]
2{2}
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3{2}
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4{2}
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5{2}
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6{2}
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7{2}
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8{2}
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9{2}
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10{2}
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2{3}
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3{3}
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4{3}
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5{3}
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6{3}
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7{3}
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8{3}
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9{3}
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10{3}
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2{4}
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3{4}
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4{4}
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5{4}
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6{4}
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7{4}
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2{5}
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3{5}
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4{5}
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5{5}
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6{5}
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2{5/2}
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3{5/2}
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4{5/2}
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5{5/2}
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6{5/2}
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2{6}
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3{6}
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4{6}
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5{6}
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2{7}
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3{7}
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4{7}
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2{7/2}
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3{7/2}
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4{7/2}
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2{7/3}
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3{7/3}
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4{7/3}
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2{8}
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3{8}
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2{8/3}
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3{8/3}
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2{9}
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3{9}
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2{9/2}
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3{9/2}
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2{9/4}
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3{9/4}
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2{10}
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3{10}
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2{10/3}
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3{10/3}
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2{11}
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2{11/2}
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2{11/3}
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2{11/4}
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2{11/5}
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2{12}
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2{12/5}
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2{13}
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2{13/2}
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2{13/3}
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2{13/4}
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2{13/5}
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2{13/6}
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2{14}
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2{14/3}
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2{14/5}
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2{15}
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2{15/2}
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2{15/4}
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2{15/7}
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6{7/2}
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20{5/2}
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Isogonal stars
These star polygons are isogonal (vertex-transitive), all solutions for equal-spaced vertices, p=3..16. They have two edge lengths in general, while some have equal edge lengths and are also regular: t{p/q}={2p/q} for odd(q), and t{p/(2p-q)}={2p/(2p-q)} for odd(2p-q). Tom Ruen (talk) 04:01, 29 January 2015 (UTC)[reply]
Isogonal star polygons as truncations of regular convex polygons
{3}:t2
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{4}:t2
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{4}:t3 t{4/3}={8/3}
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{5}:t2
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{5}:t3
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{6}:t2
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{6}:t3
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{6}:t4 t{6/5}={12/5}
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{7}:t2
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{7}:t3
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{7}:t4
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{8}:t2
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{8}:t3
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{8}:t4
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{8}:t5 t{8/7}={16/7}
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{9}:t2
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{9}:t3
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{9}:t4
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{9}:t5
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{10}:t2
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{10}:t3
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{10}:t4
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{10}:t5
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{10}:t6 t{10/9}={20/9}
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{11}:t2
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{11}:t3
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{11}:t4
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{11}:t5
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{11}:t6
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{12}:t2
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{12}:t3
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{12}:t4
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{12}:t5
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{12}:t6
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{12}:t7 t{12/11}={24/11}
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{13}:t2
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{13}:t3
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{13}:t4
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{13}:t5
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{13}:t6
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{13}:t7
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{14}:t2
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{14}:t3
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{14}:t4
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{14}:t5
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{14}:t6
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{14}:t7
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{14}:t8 t{14/13}={28/13}
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{15}:t2
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{15}:t3
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{15}:t4
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{15}:t5
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{15}:t6
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{15}:t7
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{15}:t8
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{16}:t2
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{16}:t3
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{16}:t4
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{16}:t5
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{16}:t6
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{16}:t7
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{16}:t8
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{16}:t9 t{16/15}={32/15}
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Isogonal star polygons as truncations of star polygons
t{5/3}={10/3}
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{5/3}:t2
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{5/3}:t3
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t{7/3}={14/3}
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{7/3}:t2
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{7/3}:t3
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{7/3}:t4
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t{7/5}={14/5}
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{7/5}:t2
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{7/5}:t3
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{7/5}:t4
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t{8/3}={16/3}
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{8/3}:t2
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{8/3}:t3
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{8/3}:t4
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{8/3}:t5 t{8/5}={16/5}
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t{9/5}={18/5}
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{9/5}:t2
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{9/5}:t3
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{9/5}:t4
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{9/5}:t5
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t{9/7}={18/7}
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{9/7}:t2
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{9/7}:t3
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{9/7}:t4
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{9/7}:t5
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t{10/3}={20/3}
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{10/3}:t2
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{10/3}:t3
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{10/3}:t4
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{10/3}:t5
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{10/3}:t6 t{10/7}={20/7}
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t{11/3}={22/3}
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{11/3}:t2
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{11/3}:t3
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{11/3}:t4
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{11/3}:t5
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{11/3}:t6
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t{11/5}={22/5}
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{11/5}:t2
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{11/5}:t3
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{11/5}:t4
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{11/5}:t5
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{11/5}:t6
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t{11/7}={22/7}
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{11/7}:t2
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{11/7}:t3
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{11/7}:t4
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{11/7}:t5
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{11/7}:t6
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t{11/9}={22/9}
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{11/9}:t2
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{11/9}:t3
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{11/9}:t4
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{11/9}:t5
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{11/9}:t6
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t{12/5}={24/5}
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{12/5}:t2
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{12/5}:t3
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{12/5}:t4
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{12/5}:t5
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{12/5}:t6
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{12/5}:t7 t{12/7}={24/7}
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t{13/3}={26/3}
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{13/3}:t2
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{13/3}:t3
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{13/3}:t4
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{13/3}:t5
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{13/3}:t6
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{13/3}:t7
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t{13/5}={26/5}
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{13/5}:t2
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{13/5}:t3
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{13/5}:t4
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{13/5}:t5
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{13/5}:t6
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{13/5}:t7
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t{13/7}={26/7}
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{13/7}:t2
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{13/7}:t3
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{13/7}:t4
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{13/7}:t5
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{13/7}:t6
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{13/7}:t7
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t{13/9}={26/9}
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{13/9}:t2
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{13/9}:t3
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{13/9}:t4
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{13/9}:t5
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{13/9}:t6
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{13/9}:t7
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t{13/11}={26/11}
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{13/11}:t2
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{13/11}:t3
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{13/11}:t4
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{13/11}:t5
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{13/11}:t6
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{13/11}:t7
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t{14/3}={28/3}
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{14/3}:t2
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{14/3}:t3
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{14/3}:t4
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{14/3}:t5
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{14/3}:t6
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{14/3}:t7
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{14/3}:t8 t{14/11}={28/11}
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t{14/5}={28/5}
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{14/5}:t2
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{14/5}:t3
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{14/5}:t4
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{14/5}:t5
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{14/5}:t6
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{14/5}:t7
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{14/5}:t8 t{14/9}={28/9}
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t{15/7}={30/7}
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{15/7}:t2
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{15/7}:t3
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{15/7}:t4
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{15/7}:t5
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{15/7}:t6
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{15/7}:t7
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{15/7}:t8
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t{15/11}={30/22}
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{15/11}:t2
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{15/11}:t3
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{15/11}:t4
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{15/11}:t5
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{15/11}:t6
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{15/11}:t7
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{15/11}:t8
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t{15/13}={30/13}
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{15/13}:t2
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{15/13}:t3
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{15/13}:t4
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{15/13}:t5
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{15/13}:t6
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{15/13}:t7
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{15/13}:t8
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t{16/3}={32/3}
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{16/3}:t2
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{16/3}:t3
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{16/3}:t4
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{16/3}:t5
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{16/3}:t6
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{16/3}:t7
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{16/3}:t8
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{16/3}:t9 t{16/13}={32/13}
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t{16/5}={32/5}
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{16/5}:t2
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{16/5}:t3
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{16/5}:t4
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{16/5}:t5
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{16/5}:t6
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{16/5}:t7
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{16/5}:t8
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{16/5}:t9 t{16/11}={32/11}
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t{16/7}={32/7}
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{16/7}:t2
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{16/7}:t3
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{16/7}:t4
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{16/7}:t5
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{16/7}:t6
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{16/7}:t7
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{16/7}:t8
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{16/7}:t9 t{16/9}={32/9}
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