FAME - Fractal Art Museum Enterprise - presenting:
     From Jo's Notebook
      Dr. Joseph Trotsky
     June, 2003
The T-Set Anti Fractals
IV. Presenting the first members of the T-Set and their Julia family.

 
T-Set Trigon (Z^2+C). Note the triangular body and the ovoid extensions emerging from each vertex.
  Julia of the T-Set Z^2. Note the massive body with 2 branches. Each branch is producing a 2nd branch.
 
T-Set Rhombus (Z^3+C). Note the inner massive Set square and the four ovoids emerging from the square vertexes.





  Julia of the T-Set z^3. Note the triangular body and the 3 branches spreading from the vertexes. Each branch has 2 zones: the proximal has a regular Julia droplet shape and the distal is a replica of the central triangular body. Notice also that the virtual surrounding line makes also a triangular shape. This scheme is repeated throughout the Julias line of the T-Set.

 
T-Set Pentagon (Z^4+C). Note the inner massive Set pentagon shape and the five ovoids emerging from the pentagon vertexes.
  Julia of the T-Set z^4. Note same pattern as above: inside square, four double branches and outside virtual surrounding line arranged in a square shape.

 
T-Set Hexagon (Z^5+C). Note the inner massive Set hexagon shape and the six ovoids emerging from the hexagon vertexes.

  Julia of the T-Set z^5. Note repeating pattern: a central pentagon with five double branches and outside virtual surrounding line arranged in a pentagonal shape.

 
T-Set Heptagon (Z^6+C). Note the inner massive Set heptagon shape and the seven ovoids emerging from the heptagon vertexes.

  Julia of the T-Set z^6. Note repeating pattern: a central polygon of the 6th order with six double branches and outside virtual surrounding line arranged in a hexagonal shape.

 
T-Set Octagon (Z^7+C). Note the inner massive Set Octagon shape and the eight ovoids emerging from the octagon vertexes.

  Julia of the T-Set z^7. Note repeating pattern: a central polygon of the 7th order with seven double branches and outside virtual surrounding line arranged in a heptagonal shape.

 
T-Set Nonagon (Z^8+C). Note the inner massive Set nonagon shape and the nine ovoids emerging from the nonagon vertexes.

  Julia of the T-Set z^8. Note repeating pattern: a central polygon of the 8th order with eight double branches and outside virtual surrounding line arranged in a octagonal shape.

Author:
Dr. Joseph Trotsky

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   Editor: Dr. Joseph Trotsky
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   Fractal Art Museum Enterprise Fractalis