document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251905>Question 251905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular tetrahedron is glued to each face of a regular octahedron so that the faces are perfectly aligned. The faces of the tetrahedrons are congruent to the faces of the octahedron. How many vertices does the resulting solid have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183608 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183608\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "The original octahedron has 6 vertices which are still there after the tetrahedrons are attached.  Each tetrahedron has 4 vertices, 3 of which each correspond to an existing vertex on the octahedron, so each of the eight tetrahedrons only adds one new vertex.  So, the original 6 plus 8 new equals 14.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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