Catalogue of Triangle Cubics

Each cubic in the resource is assigned a unique identification number of the form "Knnn" where "nnn" denotes three digits.

The identification number of the first entry in the catalogue is "K001" which is the Neuberg cubic of the reference triangle ABC.

The catalogue provides, among other things, the following information about each of the cubics listed: The equations of some of the cubics listed in the Catalogue are so incredibly complicated that the maintainer of the website has refrained from putting up the equation in the webpage of the cubic; instead, a link to a file giving the equation in an unformatted text form is provided.

GeoGebra, the software package for interactive geometry, algebra, statistics and calculus application has a built-in tool for drawing the cubics listed in the Catalogue.

[3] The command prints the n-th cubic in the Catalogue for the triangle whose vertices are the three points listed.

First six cubics in the Catalogue of Triangle Cubics
Tucker cubic (cubic K011 in the Catalogue) of triangle ABC drawn using the GeoGebra command Cubic(A,B,C,11) .