Question

Shown below are steps in creating a pattern. From the options given below, identify the element(s) that can be repeated in order to create this pattern.

• A. A
• B. B
• C. C
• D. D

Hint:

When a pattern grows from a tile, first decode the edge motif. Check the order “straight/curve/straight” and whether rotations can meet at right angles without gaps.

Answer 1

The Correct Option is B, D

Step 1: Read the base tile.
The first frame shows a scalloped hex/roundel built by joining the same edge–motif four times at right angles. Each edge of the tile consists of short straight + convex arc + short straight in that order.
Step 2: Identify the generating edge–motif.
Among the options, only the curly–bracket shapes (B) and (D) match that straight–arc–straight sequence. Rotating/translating this motif makes the full tile; repeating the tile in a grid yields the later frames.
Step 3: Eliminate (A) and (C).
(A) is straight–straight (no arc), which cannot create the scallop. (C) is only an arc with no straight flanges, so its joins won’t meet cleanly at the tile’s corners.
Hence the repeatable element(s) are \(\boxed{\text{(B) and (D)}}\).