Tower of Hanoi
Operation: Complete the moving task as required and see how many steps you used in total. Function Overview: The exhibit consists of a platform, three rods for the game, and corresponding movable rings, allowing visitors to experience the classic mathematical game Tower of Brahma. Visitors move the rings as required, aiming to move five rings from one rod to another with the fewest moves while keeping the order of large and small rings unchanged. The prerequisites for completing the move are: only one ring can be moved at a time; always keep the small ring on top and the large ring at the bottom; when moving, the ring can only be placed on another rod. Scientific Principle: This exhibit demonstrates the scientific principle behind the famous Tower of Brahma. The end of the world has always been a topic of great concern. According to legend, Brahma is one of the three principal gods of Hinduism in India and is the god of creation. When he created the world, he also placed a brass plate in the sacred temple of Benares in northern India. He inserted three gemstone needles into this brass plate and threaded sixty-four gold rings onto the first gemstone needle. The largest of these gold rings is at the bottom, and they get smaller toward the top, forming a tower shape, so people call it the Tower of Brahma. Brahma told the monks in the sacred temple that, whether day or night, one monk must move the gold rings between the three needles according to Brahma's rules. The rule is also very simple: only one gold ring can be moved at a time, and when moving, only a smaller gold ring can be placed on a larger gold ring, not a larger gold ring on a smaller one. The ultimate goal is to move all 64 gold rings to the third gemstone needle. Brahma also told the monks that they must, generation after generation, without stopping day or night, move the rings to maintain the operation of heaven and earth and nature. When the goal is reached, the end of the world will come. Let us simply calculate: the number of moves required to move one gold ring is one
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- 0.9×0.6×1.05 0.9×0.6×1.05Overall Dimensions: 0.9×0.6×1.05 Brand: PopsciCat Model: PopsciCat-Medium-082 Materials: ①Platform: 2.0mm cold-rolled steel plate, dimensions not less than 0.75×0.45×0.7m, surface baked paint (or electrostatic powder coating), reserved foot openings for later height adjustment and four-corner balance, reserved AC female socket position for power supply to electrical exhibits ②Tabletop: high-quality flame-retardant fiberglass material, total thickness with edges ≧100mm ③Instruction sign: acrylic UV high-precision printing, thickness ≧3mm ④Maintenance door: 2.0mm cold-rolled steel plate, surface baked paint (or electrostatic powder coating) ⑤Bracket: 304 stainless steel ⑥Rings: colored PE board Energy Requirements: None
Operation: Complete the moving task as required and see how many steps you used in total. Function Overview: The exhibit consists of a platform, three rods for the game, and corresponding movable rings, allowing visitors to experience the classic mathematical game Tower of Brahma. Visitors move the rings as required, aiming to move five rings from one rod to another with the fewest moves while keeping the order of large and small rings unchanged. The prerequisites for completing the move are: only one ring can be moved at a time; always keep the small ring on top and the large ring at the bottom; when moving, the ring can only be placed on another rod. Scientific Principle: This exhibit demonstrates the scientific principle behind the famous Tower of Brahma. The end of the world has always been a topic of great concern. According to legend, Brahma is one of the three principal gods of Hinduism in India and is the god of creation. When he created the world, he also placed a brass plate in the sacred temple of Benares in northern India. He inserted three gemstone needles into this brass plate and threaded sixty-four gold rings onto the first gemstone needle. The largest of these gold rings is at the bottom, and they get smaller toward the top, forming a tower shape, so people call it the Tower of Brahma. Brahma told the monks in the sacred temple that, whether day or night, one monk must move the gold rings between the three needles according to Brahma's rules. The rule is also very simple: only one gold ring can be moved at a time, and when moving, only a smaller gold ring can be placed on a larger gold ring, not a larger gold ring on a smaller one. The ultimate goal is to move all 64 gold rings to the third gemstone needle. Brahma also told the monks that they must, generation after generation, without stopping day or night, move the rings to maintain the operation of heaven and earth and nature. When the goal is reached, the end of the world will come. Let us simply calculate: the number of moves required to move one gold ring is one move; the number of moves to move two gold rings is 1+1+1, which is 3 moves. The number of moves to move three gold rings is the 3 moves for two gold rings + 1 move for one gold ring + 3 moves for two gold rings = 7 moves. By analogy, we can conclude that the number of moves required to move N gold rings is 2 to the power of N minus 1. Using this formula, the number of moves required to move each gold ring on the Tower of Brahma is 2 to the power of 64 minus 1. If calculated at a speed of moving one gold ring per second day and night, the time required to move all 64 gold rings is approximately 580 billion years.