I want to learn the basics of fractal geometry after watching 毕导's video: 【毕导】这条线看得清摸得着，但你永远测不出它的长度……
A good science popularizer can convey the fun of a subject to the audience and stimulate their interest. Bi Dao's video successfully achieved this, sparking my interest in fractal geometry. The final line, "A flower, a world; a leaf, a Bodhi tree," is a stroke of genius, perfectly showcasing the wonder and beauty of fractals. (一个好的科普创作者可以把一个学科的趣味传递给观众，激发其观众的兴趣。毕导的这个视频成功地做到了这一点，他成功激发起了我对分形几何的兴趣。视频最后的“一花一世界，一叶一菩提”更是神来之笔，把分形的神奇和美丽完美地展现出来。)
Preparation:
If your goal is basic fractal geometry (Cantor/Koch/Sierpiński, IFS, basic dimension):
- Proof basics + sets
- Sequences/series + continuity
- Metric spaces + contraction mapping theorem
- Box-counting → then Hausdorff dimension (as you’re ready)
Recommended books for beginners:
- Friendly/visual entry: Barnsley, Fractals Everywhere (IFS-focused)
- More theory (still readable): Edgar, Measure, Topology, and Fractal Geometry
- Standard reference (more advanced): Falconer, Fractal Geometry
I want to learn the basics of fractal geometry after watching 毕导's video: 【毕导】这条线看得清摸得着，但你永远测不出它的长度……
A good science popularizer can convey the fun of a subject to the audience and stimulate their interest. Bi Dao's video successfully achieved this, sparking my interest in fractal geometry. The final line, "A flower, a world; a leaf, a Bodhi tree," is a stroke of genius, perfectly showcasing the wonder and beauty of fractals. (一个好的科普创作者可以把一个学科的趣味传递给观众，激发其观众的兴趣。毕导的这个视频成功地做到了这一点，他成功激发起了我对分形几何的兴趣。视频最后的“一花一世界，一叶一菩提”更是神来之笔，把分形的神奇和美丽完美地展现出来。)
Preparation:
If your goal is basic fractal geometry (Cantor/Koch/Sierpiński, IFS, basic dimension):
Recommended books for beginners: