Question 1 (Page 117) - Co-prime numbers (and art) - Chapter 5 Class 6 - Prime Time (Ganita Prakash)

Transcript

Question 1 (Page 117) Make such pictures for the following: a. 15 pegs, thread-gap of 10 b. 10 pegs, thread-gap of 7 c. 14 pegs, thread-gap of 6 d. 8 pegs, thread-gap of 3 Let’s do one by one a. 15 pegs, thread-gap of 10 Starting Point: The thread always starts at the highest numbered peg, which is Peg 15. First Jump (15 → 10): From Peg 15, we count 10 pegs forward. Since it's a circle, after 15 we wrap around to 1, 2, 3... Counting 10 pegs forward from 15 lands us on Peg 10. Path so far: 15 → 10 Second Jump (10 → 5): From Peg 10, we again count 10 pegs forward. This will take us past 15, wrap around, and land on Peg 5. Path so far: 15 → 10 → 5 Third Jump (5 → 15): From Peg 5, we count another 10 pegs forward. This brings us back to our starting point, Peg 15. Final Path: 15 → 10 → 5 → 15 b. 10 pegs, thread-gap of 7 c. 14 pegs, thread-gap of 6 d. 8 pegs, thread-gap of 3