Form and organisation – THE FIBONACCI SEQUENCE

THE FIBONACCI SEQUENCE The Fibonacci Sequence is a recursive series of numbers, where each number in the sequence is the sum of the two numbers preceding it. A simple sequence beginning with 0 follows: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 … Any two adjacent numbers in the sequence may be…

Form and organisation – THE GOLDEN SECTION

THE GOLDEN SECTION The properties of proportion of the golden section have been employed by architects, artists, mathematicians, and musicians since the acient Greeks reconignized its proportional ordening in the human body. Even tody many believe it to contain mystical qualities, whose unique mathematical and geometrical relationships create a harmonic condition that is nature’s aesthetically…

Form and organisation – PROPORTIONING SYSTEMS

PROPORTIONING SYSTEMS Though proportions and ratios are often thought to be the same thing, ratios, in fact, indicate a relationship of quantity or size between or among more than one thing; proportions establish a balanced relationship of parts to each other or to a greater whole. In architecture, proportion provides visual and spatial order as…

Form and organisation – RHYTHM AND REPETITION

RHYTHM AND REPETITION Rhythm uses a regular or ordered repetition of dominant and subordinate elements or units to create an organizing series of like forms or spaces; Repetitive or recurring compositions may be used to create order and alignment or seeming disorder in an organized manner. repetition of elements may be used for decorative purposes,…

Form and organisation – ORGANIZING PRINCIPLES

Axis A line defined by two points in space and about which elements, spaces, and forms are arranged. Types of axes Symmetry A composition that is identical on opposite sides of a dividing line or central axis, creating a formal balance. Rotational Symmetry Symmetry about a Center Point Symetry of Order 4 (object matches itself…

Form and organisation – POLYHEDRA

POLYHEDRA A geometric polyhedron is a three-dimensional solid made up of a collection of polygons, usually joined at the edges. Geodesic spheres and domes are designed by filling each face of a solid, such as an icosahehedron, with a regular pattern of triangles, bulged out so that their vertices are not coplanar but are in…