Edited by R. Takaki

Prelims (PDF 4.4 MB)
Preface (PDF 148 KB)
pp. v-vi.
Contents (PDF 160 KB)
pp. vii-x.

Chapter 1

• Introduction to Science of Pattern Formation
  R. Takaki
  Research of Pattern Formation, Edited by R. Takaki, pp. 1-10.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 2.5 MB)

  Chapter 2

• An Aspect of Katachi (Form)
  T. Ogawa
  Research of Pattern Formation, Edited by R. Takaki, pp. 11-22.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 2.4 MB)

• Generalization of Golden Ratio: Any Regular Polygon Contains Self-Similarity
  T. Ogawa
  Research of Pattern Formation, Edited by R. Takaki, pp. 23-42.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 840 KB)

• Projections of Four-Dimensional Regular Space Fillings
  K. Miyazaki and M. Shiozaki
  Research of Pattern Formation, Edited by R. Takaki, pp. 43-53.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 804 KB)

• Derivation of Some Equilateral Zonohedra and Star Zonohedra
  Y. Watanabe and T. Betsumiya
  Research of Pattern Formation, Edited by R. Takaki, pp. 55-62.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 640 KB)

• Topological Index and Some Counting Polynomials for Characterizing the Topological Structure and Properties of Molecular Graphs
  H. Hosoya
  Research of Pattern Formation, Edited by R. Takaki, pp. 63-75.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 748 KB)

• Map Fold a La Miura Style, Its Physical Characteristics and Application to the Space Science
  K. Miura
  Research of Pattern Formation, Edited by R. Takaki, pp. 77-90.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 4.9 MB)

• A Note on Intrinsic Geometry of Origami
  K. Miura
  Research of Pattern Formation, Edited by R. Takaki, pp. 91-102.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 628 KB)

  Chapter 3

• Theoretical Study of Growth Patterns of Snow Crystals
  E. Yokoyama and T. Kuroda
  Research of Pattern Formation, Edited by R. Takaki, pp. 103-110.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 552 KB)

• Morphology and Formation Mechanism of Snow Polycrystals
  Y. Furukawa
  Research of Pattern Formation, Edited by R. Takaki, pp. 111-119.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1.6 MB)

• Experimental Studies of Dendritic Ice Crystals Growing from the Vapor Phase
  T. Gonda
  Research of Pattern Formation, Edited by R. Takaki, pp. 121-130.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 4.4 MB)

• Monte Carlo Simulation and Single Nucleation Theory of Growth Shapes of a Crystal
  T. Ueta and Y. Saito
  Research of Pattern Formation, Edited by R. Takaki, pp. 131-154.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 3 MB)

• Mathematics of Crystal Growth
  Y. Shikata
  Research of Pattern Formation, Edited by R. Takaki, pp. 155-162.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 588 KB)

• Fractal Growth of Sodium Tartrate Crystals
  H. Ninomiya and S. Oki
  Research of Pattern Formation, Edited by R. Takaki, pp. 163-167.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1 MB)

  Chapter 4

• Experiments on Aggregations
  M. Matsushita
  Research of Pattern Formation, Edited by R. Takaki, pp. 169-175.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 584 KB)

• Hidden Singularities, Phase Transitions and Conservation Law in Multifractal Patterns
  K. Honda and M. Matsushita
  Research of Pattern Formation, Edited by R. Takaki, pp. 177-195.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1 MB)

• Percolation Pattern in Continuous Media and Its Topology
  H. Tomita and C. Murakami
  Research of Pattern Formation, Edited by R. Takaki, pp. 197-203.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1.1 MB)

• Various Growing Modes of Crystal in Diffusion Field
  H. Honjo
  Research of Pattern Formation, Edited by R. Takaki, pp. 205-215.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1.9 MB)

• Diffusion-Limited Aggregation and Crystal Growth
  S. Ohta
  Research of Pattern Formation, Edited by R. Takaki, pp. 217-238.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1.9 MB)

• Cluster Formation of Cr-Spinel during Magmatic Differnentiation in the Upper Mantle
  M. Toriumi
  Research of Pattern Formation, Edited by R. Takaki, pp. 239-257.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 2.2 MB)

• Vesicular Structure in a Lava Flow
  M. Obata and T. Mizuta
  Research of Pattern Formation, Edited by R. Takaki, pp. 259-263.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 304 KB)

  Chapter 5

• Formation and Transitions of Patterns in Thermal Convection
  O. Sano
  Research of Pattern Formation, Edited by R. Takaki, pp. 265-288.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 7.9 MB)

• The Motion of a Vortex Sheet in an Ideal Fluid
  Y. Kaneda
  Research of Pattern Formation, Edited by R. Takaki, pp. 289-299.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 584 KB)

• Chemically Driven Dynamic Patterns at an Oil-Water Interface: Experimental Analysis of Nonlinear Waves and Oscillations
  S. Kai, S. C. Müller, T. Mori, and M. Miki
  Research of Pattern Formation, Edited by R. Takaki, pp. 301-327.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 3.4 MB)

• Chemically Driven Dynamic Patterns at an Oil-Water Interface: Wave Form Analysis and Computer Simulation
  S. Kai, M. Miki, and T. Mori
  Research of Pattern Formation, Edited by R. Takaki, pp. 329-341.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 976 KB)

• Pattern Formations in Magnetically and Electrically Induced Freedericksz Transitions and in Multiplicative Stochastic Processes
  S. Kai, M. Imasaki, S. Yamaguchi, and F. Sagues
  Research of Pattern Formation, Edited by R. Takaki, pp. 343-361.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1.7 MB)

• Self-Induced Vibration of an Evaporating Drop
  R. Takaki, N. Yoshiyasu, Y. Arai, and K. Adachi
  Research of Pattern Formation, Edited by R. Takaki, pp. 363-375.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 2.1 MB)

  Chapter 6

• Mechanical Properties of Vertex Model for Two-Dimensional Random Cellular Structures
  K. Kawasaki, T. Okuzono, and T. Nagai
  Research of Pattern Formation, Edited by R. Takaki, pp. 377-387.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 692 KB)

• Dynamics of Cellular Pattern in Two Dimensions
  T. Nagai and K. Kawasaki
  Research of Pattern Formation, Edited by R. Takaki, pp. 389-400.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 788 KB)

• Elastic Instability of Gels upon Swelling
  K. Sekimoto and K. Kawasaki
  Research of Pattern Formation, Edited by R. Takaki, pp. 401-409.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 756 KB)

• Evolution of Antiphase Ordered Domain Structure and Phase Separation Activated by Ordering
  K. Shiiyama, H. Ninomiya, and T. Eguchi
  Research of Pattern Formation, Edited by R. Takaki, pp. 411-430.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 5.1 MB)

• Phase Transition, Spinodal Decomposition, and Pattern Formation in Polymer Gels
  S. Hirotsu
  Research of Pattern Formation, Edited by R. Takaki, pp. 431-443.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 2.8 MB)

  Chapter 7

• Selfsimilar Natures of Drainage Basins
  E. Tokunaga
  Research of Pattern Formation, Edited by R. Takaki, pp. 445-468.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1.3 MB)

• Application of the Variation Principle to Geographic Pattern Analysis
  M. Hirano
  Research of Pattern Formation, Edited by R. Takaki, pp. 469-483.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 3.2 MB)

  Chapter 8

• The Analysis of 3-D Organ Microstructure Assisted by Computers: Its Application to Histopathological Studies
  T. Takahashi, H. Yaegashi, T. Chiba, R. Chiba, and M. Suzuki
  Research of Pattern Formation, Edited by R. Takaki, pp. 485-495.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 2.8 MB)

• Cell Mosaic Patterns under the Direct Lateral Inhibition Rule of Differentiation
  H. Honda and M. Tanemura
  Research of Pattern Formation, Edited by R. Takaki, pp. 497-505.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1.5 MB)

• Particle Number and Sizes Estimated from Sections —A History of Stereology
  K. Miyamoto
  Research of Pattern Formation, Edited by R. Takaki, pp. 507-516.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 900 KB)

• Stereology on Crack Geometry
  M. Oda
  Research of Pattern Formation, Edited by R. Takaki, pp. 517-535.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1 MB)

  Chapter 9

• Role of Digital Image Processing in Morphology
  J. Toriwaki
  Research of Pattern Formation, Edited by R. Takaki, pp. 537-548.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 4 MB)

• The State of the Art of Medical 3-D Image Processing
  S. Yokoi and T. Yasuda
  Research of Pattern Formation, Edited by R. Takaki, pp. 549-564.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 5 MB)

• Image Analyzers: Its Development and New Application for 3-Dimentional Image Processing
  A. Kimura
  Research of Pattern Formation, Edited by R. Takaki, pp. 565-570.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 1.8 MB)

• 1/f Fluctuation in Japanese Brush Calligraphy
  S. Ozawa
  Research of Pattern Formation, Edited by R. Takaki, pp. 571-579.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 448 KB)

• A Study on Graphic Languages
  E. Izuhara
  Research of Pattern Formation, Edited by R. Takaki, pp. 581-590.
  © by KTK Scientific Publishers, Tokyo, 1994.
  [Full text] (PDF 804 KB)