Fractal
碎形 : 藉由邊緣延伸新的型態
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2
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4
碎形從物體分裂再產生新的支脈創造新的形體 藉由碎形的原理利用正多面體模擬分裂後的狀態
Fractal
Examples :
Step1
Step2 Step3 Step4 Step5
碎形 : 產生生物性的生長樣態
Step First Original
Sample
Prototype
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Mirror First
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Mirror Second
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Mirror Third
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分裂的狀態下產生出新的形體, 藉由此操作來了解碎形形成的規則 Type 1
Type 2
Type 3
Type 4
柏拉圖柱式 Platonic Solids
由多面體所產生的面作為堆疊的基礎 產生出來的塊體作為連接整個柱狀結構的基本元素
Platonic Solids Icosahedron
Dodecahedron
Twenty faces
Twelve faces
Octahedron
Eight faces
Tetrahedron
Four faces
Cube
Six faces
Step 1
Step 2
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Study Model Rotate (Y) 45
Rotate (X) 45 Mirror twice
Mirror once
(Polyhedron)
Study Model (Pillar)
Icosahedron
Cube
Octahedron
Tetrahedron
Dodecahedron
L - System
藉由L - System 的系統, 作為一種規則模擬Project 中的植物 生長狀態, 將此系統帶入Model 中操作演化的狀態
Research
A : Updraft B : Downdraft
Study
L - System : 由此系統找出物體變化的規則 First : ( a )
0. a 1. aba 2. abaacaba 3. abacabaabacabaacaba
F = Move forward one step + = Turn Right - = Turn Left F+F-F ex : FF+(50)F+F
Michael Hansmeyer (case study)
Michael Hansmeyer : 此案例在描述 L - System下的物體生長與變化的規則
Model Study Top
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Type 2
Front
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Type 3
Mirror Study
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Type 4
Mapping Study
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Type 2
Mapping Top
Top
Front
Project 1 (Diagram)
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Top
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Front (Study)
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Unit 2 Top
(Study)
Front
Project 2 (Diagram)
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Top
(Study) Step 1
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Front (Study)
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Unit 3 Top
(Study)
Front
Project 3 (Diagram)
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Top
(Study) Step 1
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Front (Study)
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Unit 4 Top
(Study)
Front
Project 4 (Diagram)
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Top
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Front (Study)
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Unit 4 Top
(Study)
Front
Pillar 1
Top
Pillar 2
Top
Pillar 3
Top
Pillar 4
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Top
Front
Perspective Interior
Perspective Interior
Perspective Interior
Perspective outside
Perspective
Perspective