Stepping Stones Puzzle Concepts

What is the main objective of the stepping stones puzzle?

• To place stones in a spiral pattern

• To place as many brown stones as possible

• To achieve the highest number with white stones placed in order

• To cover the entire chessboard with stones

In the puzzle, when can you place a white stone labeled '2'?

• When it is placed at the edge of the board

• When it is surrounded by four brown stones

• When it has two neighboring squares of value 1

• When it is adjacent to a stone labeled '3'

What is the highest number achievable with two brown stones?

• 18

• 14

• 16

• 20

What is the known result for the maximum number achievable with four brown stones?

• 28

• 38

• 60

• 49

What is the main challenge in finding the configuration for seven brown stones?

• The rules change for seven stones

• No one has been able to work it out yet

• The stones are not distinct

• The board is too small

According to Andrew Howroyd's construction, how many additional steps can each brown stone provide?

• Six

• Five

• Four

• Three

What is the formula for the lower bound of the puzzle's growth?

• 6n - 5

• 5n - 4

• 3n + 2

• 4n - 3

What is the theoretical upper bound for the maximum number achievable with n brown stones?

• 1000n

• 500n

• 714n

• 300n

What is the significance of the number 65,000 in the context of the puzzle?

• It is the number of configurations possible with three stones

• It is the number of stones needed to cover the board

• It represents a theoretical high point used in an argument

• It is the maximum number achievable with two brown stones

What does Robert Gerbicz's argument suggest about the puzzle's growth?

• It grows linearly

• It grows exponentially

• It has a quadratic growth

• It has a logarithmic growth