Home page  Catalogue  Classes  Tables  Glossary  Notations  Links  Bibliography  Thanks  Downloads  Related Curves 

too complicated to be written here. Click on the link to download a text file. 

X(80), X(2222) 

K230 is an example of cK60+. See Special Isocubics ยง8.6. It is an equilateral conicopivotal cubic with root X(14628) on the lines X(57)X(655), X(80)X(497), X(224)X(514), X(312)X(1016), etc. It has three concurring asymptotes at X(14629), the homothetic of X(2222) under h(X80, 1/3). K230 is actually a nodal stelloid with pivots X(80) counted twice and X(2222). Hence, any circle through X(80) and X(2222) must meet K230 again at the vertices of an equilateral triangle. See K028 for other stelloidal properties. More generally, any cK60+ must have its singularity on the tricircular sextic Q014. 
