document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467849>Question 467849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the regular n-gons that have both 12 degree and 20 degree rotational symmetry.\r<BR>\n" );
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document.write( "Thank you.\r<BR>\n" );
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document.write( "Paul Moore </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327723 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not sure if I am interpreting this question correctly, but here is how I would approach it.\r<BR>\n" );
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document.write( "A regular n-gon with 30 sides would have a rotational symmetry at 12 degrees, a regualar n-gon with 18 sides would have rotational symetry at 20 degrees. \r<BR>\n" );
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document.write( "It seems to me that the smalled n-gon that would have rotatinoal symetry at 12 and 20 degree rotational degree symetry would have to be a divisor of 12, 20 and 360 degrees, the largest would be 4, this would result in 90 faces and vertices on a regular n-gon, the only other two I believe would fit this criteria would be n-gons with 180 faces and 360 faces.\r<BR>\n" );
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document.write( "That would be the way I would interpret this question.\r<BR>\n" );
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document.write( "Cleomenius. </SPAN>\n" );
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