Fig. 4.—(_a_) Line Chevron Border. (_b_, _c_, and _d_) Different Methods of Shading (_a_). Fig. 5.—(_a_) Bar Chevron Border. (_b_) The same as (_a_), but shaded. (_c_) Surface Pattern, produced by repeating (_b_). A few new patterns (see Fig. 6) may be produced by placing the chevron with the point of the V facing to the right or left, thus, =<= or =>=, instead of upwards or downwards, thus, =Λ= or =V=. [Illustration: Fig. 6. (_a_) Chevron Border, with V’s placed thus, => >=. (_b_) The same as (_a_), but with a horizontal line through the points of the =V=’s. (_c_) The same as (_a_), but shaded. (_d_) The same as (_b_), but shaded. ] Figs. 7 to 10 give the triangular patterns, plain and shaded, produced by repeating the chevron border (see Fig. 2. _a_). [Illustration: Fig. 7.] [Illustration: Fig. 8. Fig. 7.—(_a_) Single Border, composed of Triangles. (_b_) Double Border, composed of Triangles, with the points of all the Triangles meeting. (_c_) Surface Pattern, composed of Triangles, with the points of all the Triangles meeting. Fig. 8.—(_a_, _b_, and _c_) The Patterns shown on Fig. 7, shaded. ] [Illustration: Fig. 9.] [Illustration: Fig. 10. Fig. 9.—(_a_) Double Border, composed of Triangles, with the points of the Triangles in one row falling in the centres of the bases of Triangles in the row above. (_b_) Surface Pattern, composed of Triangles, arranged in the same way as in the preceding. Fig. 10.—(_a_ and _b_) The Patterns shown on Fig. 9, shaded. ] The patterns derived from the lozenge are shown on Figs. 11 to 18. [Illustration: Fig. 11. Fig. 11.—(_a_) Lozenge Border, composed of two sets of Chevrons, with their points facing in opposite directions. (_b_) The same as (_a_), but with the Chevrons set apart. (_c_) The same as (_a_), but with bars substituted for lines. (_d_) The same as (_b_), but with bars substituted for lines. ] [Illustration: Fig. 12. Fig. 12.—(_a_) Lozenge Border, with Triangles or Chevrons, shaded. (_b_) Lozenge Border, with Lozenges shaded. (_c_) The same as Fig. 11 (_c_), but shaded. (_d_) The same as Fig. 11 (_d_), but shaded. ] [Illustration: Fig. 13. Fig. 13.—(_a_) Surface Pattern, produced by repeating the Bar Chevron Border, so that the points of all the Chevrons meet. (_b_) The same as (_a_), but with the Chevrons set apart. ] [Illustration: Fig. 14. Fig. 14.—(_a_) The same as Fig. 13 (_a_), but shaded. (_b_) The same as Fig. 13 (_b_), but shaded. ] [Illustration: Fig. 15.] [Illustration: Fig. 16.]