EPSOHQ

Dual Speed

Two properties change simultaneously at different rates. One moves every frame, the other every two frames.

Understanding this pattern

Dual-speed is one of the hardest pattern families. Two independent transformations operate at different frequencies: one changes every step, the other every two or three steps. You must track both independently. Frame 3 and frame 5 may look similar, but only one rule has reset while the other has advanced.

Example Question

Two independent rotations q05_dual_rotations
Question 5 Options A B C D E
Correct answer: C

Pattern Rule

Two independent changes occur. The hollow circle moves clockwise by one corner in every panel: top-left → top-right → bottom-right → bottom-left → top-left, so it next moves to top-right. Simultaneously, the arrow rotates 45° counterclockwise in every panel: down → down-right → right → up-right → up, so it next points up-left. Therefore the next panel has a hollow circle at the top-right and an arrow pointing up-left.

Explanation

Option C is correct because it shows the hollow circle at the top-right and the arrow pointing up-left. Option A has the correct circle position but its arrow points up-right. Option B has an upward arrow and the circle at the top-left. Option C has an up-left arrow and the circle at the top-right. Option D has the circle at the top-right but its arrow points down-left. Option E has the correct up-left arrow direction but places the circle at the bottom-left.

How to spot it

  • Some property changes every frame while another changes every other frame
  • Two independent elements behave on different rhythms
  • The sequence seems to have a period, but alternating frames break it

Common traps

  • Tracking only the faster-changing element and ignoring the slower one
  • Assuming both elements follow the same cycle length
  • Getting confused when one cycle resets mid-sequence

Related tags

dual_speed stacked

Question patterns using this concept (3)

q05_dual_rotations q07_sliding_ticks q10_two_subcircles