Study of the Control of Geometric Pattern Using Digital Algorithm (with Focus on Analysis and Application of the Islamic Star Pattern)

Table 1

Type-specific evaluation analysis.

	Side splitting		Single module expansion
Type
Surface type	Point on segment control; (Type A)	(Type B); Radius control (Type B)	Point on segment control; (Type C)	Side on segment control; (Type D)
Conceptual diagram
Characteristics	Controls each line individually: creates different module shapes in a finite number	(i) Controls only the radius: creates a greater number of regular modules than the point on segment control; (ii) Requires a complex mathematical formula to create an octagon	(i) Easy modulation for construction: allows for an economical production system; (ii) Can create different types of modules	(i) Easy modulation for construction: allows for an economical production system; (ii) Additional modification is difficult
Evaluation items
Modification possibility	○	△	○	△
Expandability	○	○	△	△
Construction convenience		△	○	○
Module diversity	○	△	○	△
Additional modification types
	Possible	Difficult	Possible	Difficult
Design convenience	Low < high
(program implementation supremacy)	Type A < Type C < Type D < Type B