{"id":13124,"date":"2021-12-06T18:48:04","date_gmt":"2021-12-06T23:48:04","guid":{"rendered":"https:\/\/carleton.ca\/scs\/?page_id=13124"},"modified":"2021-12-06T18:48:12","modified_gmt":"2021-12-06T23:48:12","slug":"tr-04-10-explorations-in-4-peg-tower-of-hanoi","status":"publish","type":"page","link":"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-2004\/tr-04-10-explorations-in-4-peg-tower-of-hanoi\/","title":{"rendered":"TR-04-10: Explorations in 4-peg Tower of Hanoi"},"content":{"rendered":"

Carleton University
\nTechnical Report<\/a> TR-04-10
\nNovember 2004<\/p>\n

Explorations in 4-peg Tower of Hanoi<\/h2>\n
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Ben Houston & Hassan Masum<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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Abstract<\/h3>\n

Finding an optimal solution to the 4-peg version of the classic Tower of Hanoi problem has been an open problem since the 19th century, despite the existence of a “presumed-optimal” solution. We verify that the presumed-optimal Frame-Stewart algorithm for 4-peg Tower of Hanoi is indeed optimal, for up to 20 discs. We also develop a distributed Tower of Hanoi algorithm, and present 2D and 3D representations of the state transition graphs. Finally, two variants (k-out-of-order and k-at-a-time) and an analogy with distributed agent software are suggested.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n

TR-04-10.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Carleton University Technical Report TR-04-10 November 2004 Explorations in 4-peg Tower of Hanoi Ben Houston & Hassan Masum Abstract Finding an optimal solution to the 4-peg version of the classic Tower of Hanoi problem has been an open problem since the 19th century, despite the existence of a “presumed-optimal” solution. We verify that the presumed-optimal […]<\/p>\n","protected":false},"author":49,"featured_media":0,"parent":12325,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":"","_links_to":"","_links_to_target":""},"yoast_head":"\nTR-04-10: Explorations in 4-peg Tower of Hanoi - School of Computer Science<\/title>\n<meta name=\"description\" content=\"Carleton University Technical Report TR-04-10 November 2004 Explorations in 4-peg Tower of Hanoi Ben Houston & Hassan Masum Abstract Finding an\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-2004\/tr-04-10-explorations-in-4-peg-tower-of-hanoi\/\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-2004\/tr-04-10-explorations-in-4-peg-tower-of-hanoi\/\",\"url\":\"https:\/\/carleton.ca\/scs\/research\/scs-technical-reports\/technical-reports-2004\/tr-04-10-explorations-in-4-peg-tower-of-hanoi\/\",\"name\":\"TR-04-10: Explorations in 4-peg Tower of Hanoi - 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