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(a) Tne Triangle, or Chevron

Border. (4) The I.ozenge Border, (r) The Saltire Border. (d\ The Hexagon Border.

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It will be noticed that the same pattern results from repeating a series of ^'s n a horizontal line as from repeating a series of X's, so that in order to distinguish the lozenge border from the saltire border, it is necessary to introduce a vertical line between each pair of Xs. The hexagon border is derived from the lozenge bv omitting every other X.

It is a principle in geometrical ornament that for each pattern composed of lines there is a corresponding pattern in which bars of uniform width are substituted for lines. Another way of stating the same proposition is, that for each pattern composed of geometrical

- WsAZSZSZi mm

(a) Line Chevron Border. (5) Rar Chevron Border, (t) Surface Pattern, produced by repeating either of the preceding.

figures (squares or hexagons, for instance) there is a corresponding pattern produced by moving the figures apart iri a symmetrical manner so as to leave an equal interspace between them. This principle is illustrated by Fig. 3, where a zigzag bar is substituted for the zigzag line of the triangle or chevron border.

Then, again, another set of patterns may be derived from those composed of lines or plain bars, by shading alternate portions of the design as in chequer-work. Thus on Fig. 4 are shown three different ways of shading the chevron border, and on Fig. 5 the method of shading the patterns on Fig. 3.

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