JavaFX 3D - Heptagonal Dodecahedron (Type B) (Form 2)

以下是以JavaFX 8的TriangleMesh類別建構之Heptagonal Dodecahedron (Type B) (Form 2)，屬於Higher Genus Toroidal Solid之一。

The Higher Genus Toroidal Solids are a collection of toroidal solids. A toroidal solid is an orientable polyhedron without self-intersections that has genus greater than zero, meaning that it contains one or more holes. An orientable polyhedron's genus (G) is related to the number of vertices (V), faces (F), and edges (E) as:

V + F − E = 2 − 2 * G

float C0  = length *  0.0f;
float C1  = length *  1.0f;
float C2  = length *  3.0f;
float C3  = length *  5.0f;
float C4  = length *  6.0f;
float C5  = length *  7.0f;
float C6  = length *  8.0f;
float C7  = length *  9.0f;
float C8  = length * 12.0f;
float C9  = length * 13.0f;
float C10 = length * 16.0f;
float C11 = length * 24.0f;
float C12 = length * 27.0f;
float C13 = length * 32.0f;
float C14 = length * 40.0f;

// 建立TriangleMesh
TriangleMesh trianglemesh = new TriangleMesh();

// 設定頂點座標
trianglemesh.getPoints().addAll(
   C14,   C0,  C12,
  -C14,   C0,  C12,
    C0,  C14, -C12,
    C0, -C14, -C12,
   C10,  C14,   C3,
  -C10, -C14,   C3,
  -C14,  C10,  -C3,
   C14, -C10,  -C3,
   C10,  -C3,   C3,
  -C10,   C3,   C3,
    C3,  C10,  -C3,
   -C3, -C10,  -C3,
   C13,  -C7,   C7,
  -C13,   C7,   C7,
    C7,  C13,  -C7,
   -C7, -C13,  -C7,
    C6,   C8,   C2,
   -C6,  -C8,   C2,
   -C8,   C6,  -C2,
    C8,  -C6,  -C2,
   C11,  -C4,   C5,
  -C11,   C4,   C5,
    C4,  C11,  -C5,
   -C4, -C11,  -C5,
    C0,   C9,   C1,
    C0,  -C9,   C1,
   -C9,   C0,  -C1,
    C9,   C0,  -C1
);

// 設定貼圖座標
trianglemesh.getTexCoords().addAll(
  0.0f, 0.0f, // 0
  0.5f, 0.0f, // 1
  1.0f, 0.0f, // 2
  0.0f, 0.5f, // 3
  0.5f, 0.5f, // 4
  1.0f, 0.5f, // 5
  0.0f, 1.0f, // 6
  0.5f, 1.0f, // 7
  1.0f, 1.0f  // 8
);

// 設定各三角形的面
trianglemesh.getFaces().addAll(
   2, 0, 15, 3, 23, 1,  // Red
   2, 0, 23, 3, 10, 1,  // Red
   2, 0, 16, 3,  4, 1,  // Red
  10, 0, 23, 3, 22, 1,  // Red
  16, 1, 24, 5, 25, 2,  // Yellow
  16, 1, 25, 5, 20, 2,  // Yellow
  16, 1, 20, 5, 12, 2,  // Yellow
  16, 1, 12, 5,  8, 2,  // Yellow
  16, 1,  8, 5,  4, 2,  // Yellow
   4, 7,  8, 8, 19, 5,  // Blue
   4, 7, 27, 8, 14, 5,  // Blue
   4, 7, 14, 8,  2, 5,  // Blue
  14, 7,  3, 8,  2, 5,  // Blue
   3, 0, 14, 3, 22, 1,  // Red
   3, 0, 22, 3, 11, 1,  // Red
   3, 0, 17, 3,  5, 1,  // Red
  11, 0, 22, 3, 23, 1,  // Red
  17, 1, 25, 5, 24, 2,  // Yellow
  17, 1, 24, 5, 21, 2,  // Yellow
  17, 1, 21, 5, 13, 2,  // Yellow
  17, 1, 13, 5,  9, 2,  // Yellow
  17, 1,  9, 5,  5, 2,  // Yellow
   5, 7,  9, 8, 18, 5,  // Blue
   5, 7, 26, 8, 15, 5,  // Blue
   5, 7, 15, 8,  3, 5,  // Blue
  15, 7,  2, 8,  3, 5,  // Blue
   6, 7, 16, 8, 10, 5,  // Blue
   6, 7, 13, 8, 24, 5,  // Blue
   6, 7,  1, 8, 13, 5,  // Blue
  13, 7,  1, 8,  0, 5,  // Blue
  18, 1, 27, 5, 26, 2,  // Yellow
  18, 1, 22, 5, 27, 2,  // Yellow
  18, 1, 14, 5, 22, 2,  // Yellow
  18, 1, 10, 5, 14, 2,  // Yellow
  18, 1,  6, 5, 10, 2,  // Yellow
   1, 0, 20, 3, 12, 1,  // Red
   1, 0,  9, 3, 20, 1,  // Red
   1, 0,  6, 3, 18, 1,  // Red
   9, 0, 21, 3, 20, 1,  // Red
   7, 7, 17, 8, 11, 5,  // Blue
   7, 7, 12, 8, 25, 5,  // Blue
   7, 7,  0, 8, 12, 5,  // Blue
  12, 7,  0, 8,  1, 5,  // Blue
  19, 1, 26, 5, 27, 2,  // Yellow
  19, 1, 23, 5, 26, 2,  // Yellow
  19, 1, 15, 5, 23, 2,  // Yellow
  19, 1, 11, 5, 15, 2,  // Yellow
  19, 1,  7, 5, 11, 2,  // Yellow
   0, 0, 21, 3, 13, 1,  // Red
   0, 0,  8, 3, 21, 1,  // Red
   0, 0,  7, 3, 19, 1,  // Red
   8, 0, 20, 3, 21, 1   // Red
);   

// 設定各面的平滑參數
trianglemesh.getFaceSmoothingGroups().addAll(
  0, 0, 0, 0,
  0, 0, 0, 0, 0,
  0, 0, 0, 0,
  0, 0, 0, 0,
  0, 0, 0, 0, 0,
  0, 0, 0, 0,
  0, 0, 0, 0,
  0, 0, 0, 0, 0,
  0, 0, 0, 0,
  0, 0, 0, 0,
  0, 0, 0, 0, 0,
  0, 0, 0, 0
);

// 建立MeshView
MeshView meshview;

meshview = new MeshView(createMesh(3.6f));
...

【參考資料】

[1] Java Official Web Site：http://www.oracle.com/technetwork/java/index.html
[2] JavaFX：http://www.oracle.com/technetwork/java/javafx
[3] JavaFX 8.0 API Specification.
[4] Java Platform, Standard Edition 8 API Specification.
[5] JDK 8 Certified System Configurations.
[6] H. M. Cundy, A. P. Rollett, Mathematical Models, Tarquin Publications, 1981.
[7] G. Sellers, R. S. Wright, N. Haemel, OpenGL SuperBible: Comprehensive Tutorial and Reference (6th Edition), Addison-Wesley Professional, 2013.
[8] 黃嘉輝, JavaFX 8技術手冊, ISBN: 9789863474050, 碁峰資訊, 2014.

© Chia-Hui Huang