The pseudo-terdragon is a 3-element tile, and hence has 6 meta-figure derivatives. These are reduced to 4 by symmetry considerations.
All these have a fractal dimension of 2, and tile the plane. They show a variety of connectivity and boundary properties.
The m2-pseudo-terdragon is connected and has a non-self-intersecting fractal boundary. 2 copies make a pseudo-terdragon, and hence this figure tiles the plane with 4 copies in the unit cell.
The m1-pseudo-terdragon is connected and has a fractal boundary with intersects itself at a single point. 2 copies make a pseudo-terdragon, and hence this figure tiles the plane with 4 copies in the unit cell.
The m12-pseudo-terdragon is connected and has a fractal boundary with intersects itself at an infinite number of points. 3 copies make a pseudo-terdragon, and hence this figure tiles the plane with 6 copies in the unit cell.
The m23-pseudo-terdragon is not connected and has a non-self-intersecting fractal boundary. 3 copies make a pseudo-terdragon, and hence this figure tiles the plane with 6 copies in the unit cell.
Related Fractals: pseudo-terdragon
Source: independent discovery.
Discovered in summer 2001,
© 2002 Stewart R. Hinsley