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複製造形與創意 談對稱、碎形與仿自然

第二屆網頁小達人. 複製造形與創意 談對稱、碎形與仿自然. Ming Jang Chen 陳明璋 Informath 工作群 通識教育中心 交通大學 7/19/2007. 綱要. 結構式複製法 (Structural Cloning Method) 碎形 (Fractals) 對稱構圖 (Symmetrical Patterning) 仿自然 (Artificial Nature). 定框複製法 Structure/Line-Based 定線複製法 Structure/Frame-Based 轉圖 Convert/ToPNG 全群組

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複製造形與創意 談對稱、碎形與仿自然

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  1. 第二屆網頁小達人 複製造形與創意 談對稱、碎形與仿自然 Ming Jang Chen 陳明璋 Informath 工作群 通識教育中心 交通大學 7/19/2007

  2. 綱要 • 結構式複製法(Structural Cloning Method) • 碎形 (Fractals) • 對稱構圖(Symmetrical Patterning) • 仿自然(Artificial Nature)

  3. 定框複製法 Structure/Line-Based 定線複製法 Structure/Frame-Based 轉圖 Convert/ToPNG 全群組 Convert/Ground Group 數學簡報系統及使用手冊 MathPS  2.20e是以PowerPoint為平台，運用VBA所設計的增益集。 相關指令

  4. 啟動自訂 工具/自訂 移動功能 點選指令 Ctrl+ 移動至某一工具列上 關閉自訂 移動指令

  5. 選取 點選 圈選：範圍內有效 全選：Ctrl-A 按Shift，再點選、或圈選時，即可累積選取 按Shift，已經選取的物件若再選取一次，即產生取消選取的效果 若圈選所有的物件即產生互補的效用 按Ctrl控制選取時，若移動物件則同時可複製動作 選取 1 2 5 6 3 4

  6. 將generator 複製到剪貼簿上 選取 generator 按CTRL-C Frame-based Duplication Initiator Generator

  7. 執行複製 圈選右圖 initiator 方陣 Frame-based Duplication Initiator Generator

  8. 執行複製 圈選右圖 initiator 方陣 執行 frame-based，結果如右圖 Frame-based Duplication Initiator Generator

  9. Uniform Pictures Fig. 1.

  10. Uniform Pictures – 練習

  11. 練習

  12. Pattern Design

  13. Dn and Cn 十二條放射線 Generator symmetry

  14. 17 types of 2D Symmetrical Patterns p2 p1 pmm pm pgg pmg pg cmm cm p4 p4g p4m p3 p3m1 p31m p6 p6m

  15. 2D Symmetrical Patterns – p4 Series p4 p4g p4m

  16. 2D Symmetrical Patterns – p4 Series p4 p4g p4m p4m p4g P4?

  17. 2D Symmetrical Patterns – p4 Series p4 p4g p4m p4m p4m P4m

  18. 2D Symmetrical Patterns – p4 Series p4 p4g p4m p4m p4m P4m

  19. 2D Symmetrical Pattern - p4

  20. 2D Symmetrical Pattern - P4M

  21. p3 p3m1 p31m 2D Symmetrical Patterns – p3 Series

  22. 2D Symmetrical Patterns – p6 Series p6m p6

  23. 2D Symmetrical Patterns – p6 Series p6m p6

  24. 2D Symmetrical Patterns – p6 Series p6m p6

  25. 2D Symmetrical Patterns – p6 Series p6m p6

  26. Symmetrical Pattern - P6, P6M

  27. 2D Symmetrical Patterns – p6 Series p6

  28. 2D Symmetrical Patterns – p6 Series p6

  29. 2D Symmetrical Patterns – p6 Series p6

  30. 2D Symmetrical Patterns – p6 Series p6

  31. 定框複製法(Frame-based duplication) Recurrent substitution疊代法 先將生成子(generator)複製到剪貼簿(Clip board) 以後執行定框複製法即可

  32. 畫三正方形 圗色 群組 當做生成子(generator) 畫一大正方形當作啟始器(initiator) 練習 生成子(generator) 啟始器(initiator)

  33. 複製生成子(generator)至剪貼簿 點選啟始器(initiator) 執行定框複製法(frame-based duplication) Structure/grame-based 練習 生成子(generator) 啟始器(initiator)

  34. 複製生成子(generator)至剪貼簿 點選啟始器(initiator) 執行定框複製法(frame-based duplication) Structure/grame-based 練習 生成子(generator) 啟始器(initiator)

  35. 複製生成子(generator)至剪貼簿 點選啟始器(initiator) 執行定框複製法(frame-based duplication) Structure/grame-based 練習 生成子(generator) 啟始器(initiator)

  36. Frame-based Dup. - Queen Anne's Lace generator Initial

  37. Frame-based Dup. - Sierpinski Gasket

  38. Line-based Dup. - Snow Flake Generator

  39. Recurrent substitution - Pythagorean Tree Recurrent lines Square Pattern Base-line Generator

  40. Contraction Mapping

  41. Visual Design 0110

  42. Visual Design - Lavender-like

  43. Visual Design - Lavender-like

  44. Mountains

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