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darts in higher dimensions: a shrinking bullseye puzzle

"are you ready for a mind-bending challenge? join us as we explore the intriguing world of darts in higher dimensions, inspired by grant sanderson from 3blue1brown and his collaboration with numberphile. let's dive into this fascinating puzzle with a shrinking bullseye that will test your skills and stretch your imagination.\n\n## the shrinking bullseye puzzle\n\nimagine a dartboard where the bullseye starts as large as the entire board. each time you hit the bullseye, it shrinks based on the location of your shot. the goal is to hit as many bullseyes as possible before it becomes too small to hit. this puzzle combines elements of geometry, probability, and higher-dimensional mathematics, making it a perfect challenge for math enthusiasts and dart players alike.\n\n## the role of higher dimensions\n\nyou might be wondering, how do higher dimensions come into play? well, the puzzle can be extended to higher-dimensional dartboards, where the bullseye shrinks in multiple directions. this adds an extra layer of complexity and requires a deeper understanding of geometry and spatial reasoning.\n\n## the famous numbers in math\n\nas we delve into this puzzle, we'll encounter some of the most famous numbers in mathematics. these numbers play a crucial role in understanding the behavior of the shrinking bullseye and the probability of hitting it. get ready to meet pi, e, and other mathematical constants that will make your head spin.\n\n## the mathematical sciences research institute (msri)\n\nnumberphile is supported by the mathematical sciences research institute (msri), a leading center for mathematical research and education. the msri's involvement in this project highlights the importance of exploring mathematical puzzles and their applications in various fields.\n\n## science sandbox and math for america\n\nwe are also grateful for the support from science sandbox, a simons foundation initiative dedicated to engaging everyone with the process of science, and math for america, an organization that promotes excellence in mathematics teaching. their contributions help us bring you engaging and educational content like this.\n\n## brady haran and grant sanderson\n\nthis puzzle wouldn't be possible without the creative minds of brady haran and grant sanderson. brady, the mastermind behind numberphile, and grant, the genius behind 3blue1brown, have teamed up to bring you this captivating challenge. their collaboration showcases the power of storytelling and visual explanations in making complex mathematical concepts accessible and entertaining.\n\n## conclusion\n\nso, are you ready to take on the shrinking bullseye puzzle? gather your darts, sharpen your math skills, and let's see how many bullseyes you can hit in this mind-bending challenge. don't forget to check out the links below for more information and resources. happy darts and happy math!"

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