10.1184/R1/6076061.v1 Ramesh Krishnamurti Ramesh Krishnamurti Mulling Over Shapes, Rules and Numbers Carnegie Mellon University 2015 Architecture 2015-09-01 00:00:00 Journal contribution https://kilthub.cmu.edu/articles/journal_contribution/Mulling_Over_Shapes_Rules_and_Numbers/6076061 <p>This paper explores the relationships between geometric constructability, numbers, shapes and shape grammars. Shapes are based on compositional constructs in geometry, which rely upon drawing instruments. Implementing shape grammars relies upon numeric encodings, properties of which specify whether shape algorithms are decidable and/or tractable.</p>