LESSON 5.1 · 2:24 · CHAPTER 5 · PATTERNS
Closing a pattern
Each circuit lands its band a fixed step further around the equator. With N slots and a step s, the pattern visits every slot exactly once only when s and N share no common factor.
Predict · at 0:50 in the video
Twelve slots. A step of five covers all of them. What about a step of four?
Step four lands on four, eight, twelve, and then four again. Three slots, stacked thicker and thicker, and nine never touched. The rule: the step and the number of slots must share no common factor.
Further reading
This course is our own. These books go deeper.
- Composite Filament Winding, S. T. Peters (ed.), ASM International, 2011
- Filament Winding: a Unified Approach, S. Koussios, Delft University Press, 2004
About the numbers
Simulations in this lesson are our own. Where a number rests on an assumption, the video marks it with an asterisk and says where it comes from.
Up next · 5.2 · 2:21Circuits to cover