Mathematicians discover impossible problem in Super Mario games
Researchers concluded that it's mathematically impossible to determine if certain Super Mario Bros levels can be completed without playing them, highlighting challenges in predicting game outcomes and the nature of gameplay experiences.
Read original articleResearchers have determined that it is mathematically impossible to ascertain whether certain levels in the Super Mario Bros video game series can be completed without actually playing them. This conclusion was reached using principles from computational complexity theory. Even with the most advanced supercomputers and extensive time, the problem remains unsolvable. Erik Demaine from the Massachusetts Institute of Technology highlighted that while the concept of "fun" in games is difficult to quantify mathematically, the complexity of these problems may provide insights into the enjoyment derived from gaming. The findings underscore the inherent challenges in predicting game outcomes, emphasizing the unpredictable nature of gameplay experiences.
Related
Solving puzzles faster than humanly possible
The Opus Magnum challenge tasks players with automating puzzle-solving to optimize Cost, Cycles, and Area metrics. Participants submit solutions for evaluation, exploring automated vs. human strategies, hybrid approaches, scoring systems, mods, and bots.
With fifth busy beaver, researchers approach computation's limits
Researchers led by graduate student Tristan Stérin determined BB(5) as 47,176,870 using Coq software. Busy beavers, introduced by Tibor Radó, explore Turing machines' behavior. Allen Brady's program efficiently analyzes and classifies machines, advancing computational understanding.
The Zombie Misconception of Theoretical Computer Science
The blog post delves into misconceptions in theoretical computer science, focusing on computability and complexity theory. It clarifies the distinction between functions and questions, NP-hard problems, and the P versus NP dilemma. Emphasizing the importance of grasping fundamental principles, the author seeks reader input on combating these misunderstandings.
Generating sudokus for fun and no profit
Tom Nick created a free Sudoku application that generates puzzles based on human perception of difficulty, using advanced algorithms like CSP and Arc Consistency to improve solving efficiency and user experience.
Hero coder finds bug in Lunar Lander after 55 years
Martin C. Martin discovered a 55-year-old bug in the "Lunar Landing Game," which miscalculated landings due to a missing "divide by two" in the code, showcasing early programming complexities.
So they discovered what they intentionally introduced via breakage? It seems they couldn't find what they set out to for, and rather than writing that they just shoe horned the result they wanted into the game.
Sometimes the jokes write themselves :) But seriously, thank goodness for that. I don't want to see the products that come out of the corporations that would be extracting maximum mathematically-proven fun for their widget subscription services.
Related
Solving puzzles faster than humanly possible
The Opus Magnum challenge tasks players with automating puzzle-solving to optimize Cost, Cycles, and Area metrics. Participants submit solutions for evaluation, exploring automated vs. human strategies, hybrid approaches, scoring systems, mods, and bots.
With fifth busy beaver, researchers approach computation's limits
Researchers led by graduate student Tristan Stérin determined BB(5) as 47,176,870 using Coq software. Busy beavers, introduced by Tibor Radó, explore Turing machines' behavior. Allen Brady's program efficiently analyzes and classifies machines, advancing computational understanding.
The Zombie Misconception of Theoretical Computer Science
The blog post delves into misconceptions in theoretical computer science, focusing on computability and complexity theory. It clarifies the distinction between functions and questions, NP-hard problems, and the P versus NP dilemma. Emphasizing the importance of grasping fundamental principles, the author seeks reader input on combating these misunderstandings.
Generating sudokus for fun and no profit
Tom Nick created a free Sudoku application that generates puzzles based on human perception of difficulty, using advanced algorithms like CSP and Arc Consistency to improve solving efficiency and user experience.
Hero coder finds bug in Lunar Lander after 55 years
Martin C. Martin discovered a 55-year-old bug in the "Lunar Landing Game," which miscalculated landings due to a missing "divide by two" in the code, showcasing early programming complexities.