EPSOHQ

Shape Cycling

Shapes progress through a defined sequence: triangle → square → pentagon → circle, then repeat.

Understanding this pattern

Shape cycling substitutes one geometric shape for the next in a predefined sequence. A triangle becomes a square, then a pentagon, then resets to a triangle. The cycle length (3, 4, or 5 shapes) determines the periodicity. Often combined with a movement or colour rule, making the shape change easy to miss.

Example Question

Shape cycle across a diagonal q09_shape_cycle_diagonal
Question 9 Options A B C D E
Correct answer: C

Pattern Rule

Each panel has two fixed symbol positions: upper-right and lower-left. At both positions, the symbol advances one step through the same five-state cycle: filled circle → outline circle → filled square → outline diamond → four-point star → filled circle. Thus, after panel 5, the upper-right star becomes a filled circle, while the lower-left filled square becomes an outline diamond. The diagonal divider and all positions remain unchanged.

Explanation

Option C is correct. A repeats panel 5: upper-right star and lower-left filled square. B has the correct upper-right filled circle but the lower-left symbol remains a filled square. C has the required upper-right filled circle and lower-left outline diamond. D shows upper-right outline diamond and lower-left filled circle, matching panel 4 rather than the next state. E has the correct lower-left outline diamond but incorrectly retains an upper-right star.

How to spot it

  • A shape changes form but stays in roughly the same position
  • The number of sides increases (or decreases) systematically
  • After N frames, the same shape reappears (cycle detection)

Common traps

  • Missing the cycle reset — predicting the next shape instead of the first
  • Confusing shape cycle with size change (shapes morph vs grow)
  • Not noticing that the cycle combines with a separate position rule

Related tags

shape_cycle morph polygon

Question patterns using this concept (7)

q09_shape_cycle_diagonal q12_polygon_morphing q14_diagonal_band_distinct q19_mixed_shapes_grid q21_black_cutout_rotation q22_striped_block_decorations q24_quartered_disc