descomp        
r e s e a r c h
C o n s t r u c t i n g   D e s i g n   C o n c e p t s :   A Computational Approach to the Synthesis of Architectural Form
Kotsopoulos S, Ph.D. Dissertation, Massachusetts Institute of Technology, 2005











II.     Shape Computation Theory

      


     
1.  Introduction

     
2.  Computational Theory

     
3.  Computational Design Theory

     
4.  Shape Computation    
   
                        4. 1.  SHAPE CALCULUS

    
      4.2. SHAPE GRAMMAR     

     The general algebraic framework defined in
Stiny 1975 1980 1991 1992 allows shapes and their arrangements to
      be added, and taken apart with the aid of sum, product, difference, and the embedding relation, and to be moved or
      transformed with the Euclidean transformations. Within this spatial calculus the medium of shape rules is
      employed in the production and interpretation of spatial compositions.

    
4.2.1. What is a shape rule ?
    
    
4.2.2. What is a derivation ?

    
4.2 3.  What is a grammar ?

     4.2 4.  What is a shape rule schema ?