2020/6 EA4

Fractal

碎形 : 藉由邊緣延伸新的型態

1

2

3

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

1

Mirror First

2

Mirror Second

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Mirror Third

4

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

Step 3

Step 4

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

Type 1

Type 2

Front

Type 1

Type 3

Mirror Study

Type 2

Type 4

Mapping Study

Type 1

Type 2

Mapping Top

Top

Front

Project 1 (Diagram)

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Top

(Study) Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Front (Study)

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Unit 2 Top

(Study)

Front

Project 2 (Diagram)

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Top

(Study) Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Front (Study)

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Unit 3 Top

(Study)

Front

Project 3 (Diagram)

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Top

(Study) Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Front (Study)

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Unit 4 Top

(Study)

Front

Project 4 (Diagram)

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Top

(Study) Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Front (Study)

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Unit 4 Top

(Study)

Front

Pillar 1

Top

Pillar 2

Top

Pillar 3

Top

Pillar 4

Top

Top

Front

Perspective Interior

Perspective Interior

Perspective Interior

Perspective outside

Perspective

Perspective