Fractal Examples / 1: |
The Triadic Cantor Dust / 1.1: |
The Sierpinski Gasket / 1.2: |
A Space of Strings / 1.3: |
Turtle Graphics / 1.4: |
Sets Defined Recursively / 1.5: |
Number Systems / 1.6: |
Remarks / 1.7: |
Metric Topology / 2: |
Metric Space / 2.1: |
Metric Structures / 2.2: |
Separable and Compact Spaces / 2.3: |
Uniform Convergence / 2.4: |
The Hausdorff Metric / 2.5: |
Metrics for Strings / 2.6: |
Topological Dimension / 2.7: |
Zero-Dimensional Spaces / 3.1: |
Covering Dimension / 3.2: |
Two-Dimensional Euclidean Space / 3.3: |
Inductive Dimension / 3.4: |
Self-Similarity / 3.5: |
Ratio Lists / 4.1: |
String Models / 4.2: |
Graph Self-Similarity / 4.3: |
Measure Theory / 4.4: |
Lebesgue Measure / 5.1: |
Method I / 5.2: |
Two-Dimensional Lebesgue Measure / 5.3: |
Metric Outer Measure / 5.4: |
Measures for Strings / 5.5: |
Fractal Dimension / 5.6: |
Hausdorff Measure / 6.1: |
Packing Measure / 6.2: |
Examples / 6.3: |
The Open Set Condition / 6.4: |
Graph Open Set Condition / 6.6: |
Other Fractal Dimensions / 6.8: |
Additional Topics / 6.9: |
Deconstruction / 7.1: |
Self-Affine Sets / 7.2: |
Self-Conformal / 7.3: |
A Multifractal / 7.4: |
A Superfractal / 7.5: |
Appendix / 7.6: |
Terms |
Notation |
Reading |
References |
Index |
Fractal Examples / 1: |
The Triadic Cantor Dust / 1.1: |
The Sierpinski Gasket / 1.2: |