Patterns act as reference points and help us to understand our environment. As human beings, we seek patterns continually, for patterns give order to our world, and it is through detecting these that understanding is possible. A pattern shows the repetition of actions, physical entities, feelings, measures or appearances. Thus, a pattern is deemed to have developed if repetition of an event (or other entity) is evident. To sighted individuals, obvious forms of pattern are visual, and understanding of these will be the principal focus of this book; but patterns may also be detected through other human senses: patterns of sound, texture, taste and temperature come to mind. Morse code is a pattern. Egyptian and Mayan hieroglyphs and Mesopotamian cuneiform are patterns. A sentence in any language is a pattern, and using and understanding that language depend on recognising various patterns, including rules of grammar and vocabulary. Patterns of relevance to the physical world are often expressed as numerical relationships (such as woven textiles, for example, where a structure can be converted to a numerical grouping).
As stated above, the principal focus of this book is on visual patterns and their understanding. Visual patterns can be found in both the natural and manufactured environments. Manufactured patterns, whether from industrial or craft sources, will be the principal focus here. In this book, the word āpatternā (or āpatternsā) will be used in the widest sense to refer to the visually creative āā¦imaginingsā (Petrie, 1990: 3) of cultures historically and in modern times, and the phrase āregular patternsā (or āregularly repeating patternsā) reserved to refer to a sub-category of two-dimensional designs which exhibit a strict repetition of a component (which retains its content, size, orientation and colour). At the same time, the fundamental compositional aspects of all visual arts will be considered, as it is believed that knowledge of these can inform the designer of regular patterns, particularly when making decisions relating to the format of individual repeating units.
Bosomworth (1995) provided an encyclopaedic collection of line drawings of motifs and regular patterns, making references to items sourced in Europe, Asia, Africa, North, Central and South America, and Australia as well as Oceania. Andersen and Salomon (2010) recognised the universal applicability of regular patterns in the early twenty-first century and presented an innovative consideration of regular patterns focused mainly on architectural uses. The all-embracing nature of regular patterns and their power as sources of inspiration were recognised by Murray and Winteringham (2015).
In this present book, the nature of many regular-pattern types is explored and several developments and achievements are reviewed. Fundamental geometrical components are identified and discussed, and systems of regular-pattern classification, derived from insights associated with crystallographers, are explained. It is proposed that various grid forms, derived from well-known brick- and window-lattice arrangements, be used to assist with regular-pattern construction. Overall, formal mathematical content is kept to a minimum. For readers wishing to explore the role of patterns in the transmission of mathematical knowledge, it is worth referring to Bier (2004), but the tendency to consider mathematical aspects of patterns directly will be avoided in this book.
Insights into the design and composition of regular patterns provided in relatively modern times (late twentieth and early twenty-first centuries) are recognised and, further to this, reference is made to work from an earlier period, as it is felt that observers such as Day (1999 [1903]), Fenn (1993 [1930]) and Christie (1969 [1910]), though long forgotten in the early twenty-first century, provided insights of value to the modern digital age.
In many of the treatises concerned with regular patterns published in the nineteenth and early twentieth centuries, the use of words such as ādecorationā or āornamentā was common. By the late twentieth century, however, these terms had acquired derogatory undertones, confirmed by the use of phrases such as āit is only decorationā or āit is only ornamentā. Also, it was common to describe the visual arts of āotherā (mainly non-European) cultures and civilisations as ādecorationā or āornamentā, with a seeming lack of awareness of the possibility that the relevant ādecorationā may have had a deeper, more intellectually inspired intention. Because of the implications mentioned, the use of terms such as āornamentā and ādecorationā will be avoided where possible and, as noted in the second paragraph to this Introduction, the term āregular patternā (or āregularly repeating patternā) will be used where appropriate; in the wider context, the term āvisual arts and designā will be used inclusively to cover all areas previously grouped under titles such as āfine arts and architectureā, āappliedā, ādecorativeā or āornamentalā arts, including āpatternsā which lack regular repetition.
Chapter 2 identifies and describes categories of regular patterns and motifs, as well as common themes and structures, and explains the importance of size and coverage. Important early twentieth-century publications which outline the nature of fundamentals are identified and discussed. A wide range of themes is identified, explained and discussed, and structural aspects of patterns are introduced.
Chapter 3 considers the fundamental elements associated with all visual arts and design (including regular-pattern design), invariably listed as: point, line, plane (including shapes), texture and colour. Attention is focused also on the nature of āregularityā (a term used here to denote systematic repetition of one or more component parts), āmodularityā (a term used to refer to the ways in which the component parts of a design can be re-arranged to give a different visual effect), as well as ācompositionā (a term used to refer to the relative positions of elements in a visual arrangement). The nature of āshape grammarā is explained and the influence of traditional Japanese visual composition on developments in Europe and North America is recognised. The applicability of various Gestalt principles to the visual arts in general is debated and relevant principles outlined and illustrated.
Chapter 4 identifies and illustrates various early forms of regular patterns. The nature of spirals, scrolls, arabesques, meanders, and key, step, counter-change and checkerboard designs is explained.
Chapter 5 introduces common regular-pattern varieties, including spots and medallions, stripes, checks and diaper patterns. The importance of networks (or grids) as structural guidelines is explained also.
Chapter 6 is concerned with square, rectangular and related figures, used often as measuring devices of great importance to regular-pattern construction, both historically and in relatively modern times. It is also explained how squares form the basis of numerous further constructions (such as golden-ratio and root rectangles) deemed by many observers to be of value to the visual arts in general. This chapter introduces various brick arrangements (or bonds) and argues that these could be helpful as frameworks to assist pattern design and composition.
Chapter 7 is concerned with various polygonal grids, including those based on triangles of various kinds, pentagons and hexagons. The importance of each is explained in the context of regular-pattern construction, both as unit cells in compositional grids as well as in providing a geometric structure for some motifs (the fundamental building blocks of many patterns).
Chapter 8 considers circles, arcs, curves and related structures (including ogee and scale forms). The nature of circles and circular forms in the visual arts is discussed and attention is focused on their application to regular-pattern construction.
Chapter 9 is concerned with a substantial group of designs known as ātilingsā, which exhibit geometric or symmetry characteristics like regular patterns. Often, regular tilings, when depicted visually, are shown in a āskeletonā state as grids with unit cells of enclosed polygons which cover the plane without gap or overlap. Meanwhile, regular patterns invariably have a thematic content, and are depicted often (though not always) with a foreground and background. This chapter introduces the reader to various forms of grid-like arrangements known as lattices, and it is argued that such structures can be of value in regular-pattern design and composition.
Chapter 10 is concerned with symmetry, a feature which dominates the visual arts in general and can be used in the classification and analysis of regular patterns. Definitions are numerou...