The harmonic foliation structure is a type of global geometric structure studied by Fields Medal laureate William p. Thurston. Due to its abstract nature, it is hardly accessible to the general public. By designing and developing algorithms, I have captured the global properties of harmonic foliation structures, and then utilized computer graphics rendering techniques to enable intuitive visual appreciation and comprehension of the abstract beauty inherent in such structures.
This figure is generated based on the original geometric topology code platform "Geometric" developed by the Laboratory of Computational Discrete Global Geometric Structures.
I am organizing a global touring art exhibition to showcase these images.
The harmonic foliation structure is a type of global geometric structure studied by Fields Medal laureate Thurston. Due to its abstract nature, it is hardly accessible to the general public. By designing and developing algorithms, I have captured the global properties of harmonic foliation structures, and then utilized computer graphics rendering techniques to enable intuitive visual appreciation and comprehension of the abstract beauty inherent in such structures.
This figure is generated based on the original geometric topology code platform "Geometric" developed by the Laboratory of Computational Discrete Global Geometric Structures.
The Computational Harmonic foliation and Holomorphic Quadratic Differential
The harmonic foliation structure is a type of global geometric structure studied by Fields Medal laureate Thurston. Due to its abstract nature, it is hardly accessible to the general public. By designing and developing algorithms, I have captured the global properties of harmonic foliation structures, and then utilized computer graphics rendering techniques to enable intuitive visual appreciation and comprehension of the abstract beauty inherent in such structures.
A harmonic foliation determines a holomorphic quadratic differential.
