History of Mazes a Mind Boggling Collection Of
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Dill's Greenhouse Tour
DILL’S GREENHOUSE TOUR: The Dill’s Greenhouse Tour includes the Columbus Park of Roses in Whetstone Park, Dill’s Greenhouse, Gantz Farm, and the International Harvest Garden. Come smell the roses, learn about herbs, and even go on a hayride. Columbus Park of Roses at Whetstone Park This 13-acre park contains three unique rose gardens, an Earth-Kind® Rose Garden, Main Rose Garden and Heritage Garden as well as herb and perennial gardens. One of the largest public rose gardens in the United States, the Park of Roses in Whetstone Park has been among the most beautiful places in Columbus since 1953. It has grown to include 12,000 roses of more than 400 varieties. The park is a certified arboretum and ranked among the top 10 public rose gardens in the country by the All-American Rose Selections. (parkofroses.org) . Dill’s Greenhouse Dill’s Greenhouse is a local, family-owned business started in 1983. They have a knowledgeable team eager to share their love of gardening. They grow their own annuals, perennials, vegetable plants and hanging baskets. Nearly all the nursery stock is Ohio-grown increasing the success rate of its trees and shrubs. Our Tour will coincide with their annual Fall Fun Festival featuring a 5-acre corn maze, an indoor straw maze and (weather permitting) a hayride given by owner Jerry Dill. At Dill’s, “Only Nature Does It Better.” (dillsgreenhouse.net) . The Gardens at Gantz Farm After being a “hidden gem” of Grove City and the greater Columbus area for 26 years, The Garden at Gantz Farm is ready to take it’s spot in the limelight. -
English Turf Labyrinths Jeff Saward
English Turf Labyrinths Jeff Saward Turf labyrinths, or ‘turf mazes’ as they are popularly known in Britain, were once found throughout the British Isles (including a few examples in Wales, Scotland and Ireland), the old Germanic Empire (including modern Poland and the Czech Republic), Denmark (if the frequently encountered Trojaborg place-names are a reliable indicator) and southern Sweden. They are formed by cutting away the ground surface to leave turf ridges and shallow trenches, the convoluted pattern of which produces a single pathway, which leads to the centre of the design. Most were between 30 and 60 feet (9-18 metres) in diameter and usually circular, although square and other polygonal examples are known. The designs employed are a curious mixture of ancient classical types, found throughout the region, and the medieval types, found principally in England. Folklore and the scant contemporary records that survive suggest that they were once a popular feature of village fairs and other festivities. Many are found on village greens or commons, often near churches, but sometimes they are sited on hilltops and at other remote locations. By nature of their living medium, they soon become overgrown and lost if regular repair and re-cutting is not carried out, and in many towns and villages this was performed at regular intervals, often in connection with fairs or religious festivals. 50 or so examples are documented, and several hundred sites have been postulated from place-name evidence, but only eleven historic examples survive – eight in England and three in Germany – although recent replicas of former examples, at nearby locations, have been created at Kaufbeuren in Germany (2002) and Comberton in England (2007) for example. -
13. Mathematics University of Central Oklahoma
Southwestern Oklahoma State University SWOSU Digital Commons Oklahoma Research Day Abstracts 2013 Oklahoma Research Day Jan 10th, 12:00 AM 13. Mathematics University of Central Oklahoma Follow this and additional works at: https://dc.swosu.edu/ordabstracts Part of the Animal Sciences Commons, Biology Commons, Chemistry Commons, Computer Sciences Commons, Environmental Sciences Commons, Mathematics Commons, and the Physics Commons University of Central Oklahoma, "13. Mathematics" (2013). Oklahoma Research Day Abstracts. 12. https://dc.swosu.edu/ordabstracts/2013oklahomaresearchday/mathematicsandscience/12 This Event is brought to you for free and open access by the Oklahoma Research Day at SWOSU Digital Commons. It has been accepted for inclusion in Oklahoma Research Day Abstracts by an authorized administrator of SWOSU Digital Commons. An ADA compliant document is available upon request. For more information, please contact [email protected]. Abstracts from the 2013 Oklahoma Research Day Held at the University of Central Oklahoma 05. Mathematics and Science 13. Mathematics 05.13.01 A simplified proof of the Kantorovich theorem for solving equations using scalar telescopic series Ioannis Argyros, Cameron University The Kantorovich theorem is an important tool in Mathematical Analysis for solving nonlinear equations in abstract spaces by approximating a locally unique solution using the popular Newton-Kantorovich method.Many proofs have been given for this theorem using techniques such as the contraction mapping principle,majorizing sequences, recurrent functions and other techniques.These methods are rather long,complicated and not very easy to understand in general by undergraduate students.In the present paper we present a proof using simple telescopic series studied first in a Calculus II class. -
Simple Variations on the Tower of Hanoi to Guide the Study Of
Simple Variations on the Tower of Hanoi to Guide the Study of Recurrences and Proofs by Induction Saad Mneimneh Department of Computer Science Hunter College, The City University of New York 695 Park Avenue, New York, NY 10065 USA [email protected] Abstract— Background: The Tower of Hanoi problem was The classical solution for the Tower of Hanoi is recursive in formulated in 1883 by mathematician Edouard Lucas. For over nature and proceeds to first transfer the top n − 1 disks from a century, this problem has become familiar to many of us peg x to peg y via peg z, then move disk n from peg x to peg in disciplines such as computer programming, data structures, algorithms, and discrete mathematics. Several variations to Lu- z, and finally transfer disks 1; : : : ; n − 1 from peg y to peg z cas’ original problem exist today, and interestingly some remain via peg x. Here’s the (pretty standard) algorithm: unsolved and continue to ignite research questions. Research Question: Can this richness of the Tower of Hanoi be Hanoi(n; x; y; z) explored beyond the classical setting to create opportunities for if n > 0 learning about recurrences and proofs by induction? then Hanoi(n − 1; x; z; y) Contribution: We describe several simple variations on the Tower Move(1; x; z) of Hanoi that can guide the study and illuminate/clarify the Hanoi(n − 1; y; x; z) pitfalls of recurrences and proofs by induction, both of which are an essential component of any typical introduction to discrete In general, we will have a procedure mathematics and/or algorithms. -
Arxiv:0905.0015V3 [Math.CO] 20 Mar 2021
The Tower of Hanoi and Finite Automata Jean-Paul Allouche and Jeff Shallit Abstract Some of the algorithms for solving the Tower of Hanoi puzzle can be applied “with eyes closed” or “without memory”. Here we survey the solution for the classical Tower of Hanoi that uses finite automata, as well as some variations on the original puzzle. In passing, we obtain a new result on morphisms generating the classical and the lazy Tower of Hanoi. 1 Introduction A huge literature in mathematics and theoretical computer science deals with the Tower of Hanoi and generalizations. The reader can look at the references given in the bibliography of the present paper, but also at the papers cited in these references (in particular in [5, 13]). A very large bibliography was provided by Stockmeyer [27]. Here we present a survey of the relations between the Tower of Hanoi and monoid morphisms or finite automata. We also give a new result on morphisms generating the classical and the lazy Tower of Hanoi (Theorem 4). Recall that the Tower of Hanoi puzzle has three pegs, labeled I, II,III,and N disks of radii 1,2,...,N. At the beginning the disks are placed on peg I, in decreasing order of size (the smallest disk on top). A move consists of taking the topmost disk from one peg and moving it to another peg, with the condition that no disk should cover a smaller one. The purpose is to transfer all disks from the initial peg arXiv:0905.0015v3 [math.CO] 20 Mar 2021 to another one (where they are thus in decreasing order as well). -
Graphs, Random Walks, and the Tower of Hanoi
Rose-Hulman Undergraduate Mathematics Journal Volume 20 Issue 1 Article 6 Graphs, Random Walks, and the Tower of Hanoi Stephanie Egler Baldwin Wallace University, Berea, [email protected] Follow this and additional works at: https://scholar.rose-hulman.edu/rhumj Part of the Discrete Mathematics and Combinatorics Commons Recommended Citation Egler, Stephanie (2019) "Graphs, Random Walks, and the Tower of Hanoi," Rose-Hulman Undergraduate Mathematics Journal: Vol. 20 : Iss. 1 , Article 6. Available at: https://scholar.rose-hulman.edu/rhumj/vol20/iss1/6 Rose-Hulman Undergraduate Mathematics Journal VOLUME 20, ISSUE 1, 2019 Graphs, Random Walks, and the Tower of Hanoi By Stephanie Egler Abstract. The Tower of Hanoi puzzle with its disks and poles is familiar to students in mathematics and computing. Typically used as a classroom example of the important phenomenon of recursion, the puzzle has also been intensively studied its own right, using graph theory, probability, and other tools. The subject of this paper is “Hanoi graphs”,that is, graphs that portray all the possible arrangements of the puzzle, together with all the possible moves from one arrangement to another. These graphs are not only fascinating in their own right, but they shed considerable light on the nature of the puzzle itself. We will illustrate these graphs for different versions of the puzzle, as well as describe some important properties, such as planarity, of Hanoi graphs. Finally, we will also discuss random walks on Hanoi graphs. 1 The Tower of Hanoi The Tower of Hanoi is a famous puzzle originally introduced by a “Professor Claus” in 1883. -
History and Current State of Recreational Mathematics and Its Relation to Serious Mathematics
Charles University in Prague Faculty of Mathematics and Physics DOCTORAL THESIS Tereza B´artlov´a History and current state of recreational mathematics and its relation to serious mathematics Department of Mathematical Analysis Supervisor of the doctoral thesis: prof. RNDr. LuboˇsPick, CSc., DSc. Study programme: Mathematics Study branch: General Questions of Mathematics and Information Science Prague 2016 I declare that I carried out this doctoral thesis independently, and only with the cited sources, literature and other professional sources. I understand that my work relates to the rights and obligations under the Act No. 121/2000 Sb., the Copyright Act, as amended, in particular the fact that the Charles University in Prague has the right to conclude a license agreement on the use of this work as a school work pursuant to Section 60 subsection 1 of the Copyright Act. In Prague on June 28, 2016 Tereza B´artlov´a i Title: History and current state of recreational mathematics and its relation to serious mathematics Author: Tereza B´artlov´a Department: Department of Mathematical Analysis Supervisor: prof. RNDr. LuboˇsPick, CSc., DSc., Department of Mathematical Analysis Abstract: The present thesis is devoted to the study of recreational mathematics, with a particular emphasis on its history, its relation to serious mathematics and its educational benefits. The thesis consists of five papers. In the first one we investigate the history of recreational mathematics. We focus on the development of mathematical problems throughout history, and we try to point out the people who had an important influence on the progress of recreational mathematics. The second article is dedicated to Edwin Abbott Abbott and his book called Flatland. -
I Note on the Cyclic Towers of Hanoi
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector Theoretical Computer Science 123 (1994) 3-7 Elsevier I Note on the cyclic towers of Hanoi Jean-Paul Allouche CNRS Mathkmatiques et Informatique. lJniversit& Bordeaux I. 351 cows de la Lib&ration, 33405 Talence Cedex, France Abstract Allouche, J.-P., Note on the cyclic towers of Hanoi, Theoretical Computer Science 123 (1994) 3-7. Atkinson gave an algorithm for moving N disks from a peg to another one in the cyclic towers of Hanoi. We prove that the resulting infinite sequence obtained as N goes to infinity is not k-automatic for any k>2. 0. Introduction The well-known tower of Hanoi puzzle consists of three pegs and N disks of radius 1,2, I.. ) N. At the beginning, all the disks are stacked on the first peg in decreasing order (1 being the topmost disk). At each step one is allowed to pick up the topmost disk of a peg and to put it on another peg, provided a disk is never on a smaller one. The game is ended when all disks are on the same (new) peg. The classical (recursive) algorithm for solving this problem provides us with an infinite sequence of moves (with values in the set of the 6 possible moves), whose prefixes of length 2N - 1 give the moves which carry N disks from the first peg to the second one (if N is odd) or to the third one (if N is even). -
Hanoi, Counting and Sierpinski's Triangle Infinite Complexity in Finite
Hanoi, Counting and Sierpinski's triangle Infinite complexity in finite area Math Circle December 5, 2017 1. Per usual we are going to be watching a video today, but we aren't going to be watching it right at the beginning. Before we start the video, let's play a game. Figure 1: A schemetic for the Towers of Hanoi Puzzle. Taken from http://www. cs.brandeis.edu/~storer/JimPuzzles/ZPAGES/zzzTowersOfHanoi.html The towers of Hanoi is a very simple game, here are the rules. Start with three wooden pegs, and five disks with holes drilled through the center. Place the disks on the first peg such that the radius of the disks is de- scending. The goal of this game is to move all of the disks onto the very last peg so that they are all in the same order that they started. Here are the rules: • You can only move 1 disk at a time from one peg to another. • You can only move the top disk on a peg. If you want to move the bottom disk, you first have to move all of the other disks. • You can never place a larger disk on top of a smaller peg. For exam- ple, if in the picture above if you moved the top disk of peg A onto peg B, you could not then move top new top disk from A into peg B. 1 The question is, is it possible to move all of the disks from peg A to peg C? If it is, what is the minimum number of moves that you have to do? (a) Before we get into the mathematical analysis, let's try and get our hands dirty. -
The Shining Mazes Roberto Milazzi
The Shining Mazes Roberto Milazzi Originally published in Caerdroia 41 (2012), p.49-51 “The Shining” was the third novel published by the American author Stephen King in January 1977, and three years later a film based on the novel, produced and directed by Stanley Kubrick and starring Jack Nicholson was released. The subject of this note is a key element featuring in the film, but not in the novel, a hedge maze.1 It plays a key role in the development of the plot, narrating the story of a family of three (Jack Torrance, his wife Wendy and their son Denny), set in and around the remote Overlook Hotel among the snowy mountains of Colorado. The position of caretaker is vacant and Jack secures the job, but is required to stay all winter long, when the extreme weather conditions prevent guests reaching the hotel. When the Torrance family arrives at the hotel we see them passing in front of the maze, right in front of the hotel, acknowledged by a plan of the maze on a notice board standing near its entrance. Later, while Wendy and Denny go outside to explore, we see Jack approaching a model of the maze set in the hotel’s lounge. Even if we may be not completely aware of it, its plan matches the one we saw earlier on the sign. Above: the Overlook Maze sign board Left: plan of the maze model and as shown on the sign Below: Jack studying the model in the hotel As the view shifts from an impersonal point of view to the one we assume to be Jack's own, we find ourselves drawn into what is seemingly an aerial view of the real maze, with Wendy and Denny crossing the central ‘chamber’ of the maze. -
Nurse Aide Employment Roster Report Run Date: 9/24/2021
Nurse Aide Employment Roster Report Run Date: 9/24/2021 EMPLOYER NAME and ADDRESS REGISTRATION EMPLOYMENT EMPLOYMENT EMPLOYEE NAME NUMBER START DATE TERMINATION DATE Gold Crest Retirement Center (Nursing Support) Name of Contact Person: ________________________ Phone #: ________________________ 200 Levi Lane Email address: ________________________ Adams NE 68301 Bailey, Courtney Ann 147577 5/27/2021 Barnard-Dorn, Stacey Danelle 8268 12/28/2016 Beebe, Camryn 144138 7/31/2020 Bloomer, Candace Rae 120283 10/23/2020 Carel, Case 144955 6/3/2020 Cramer, Melanie G 4069 6/4/1991 Cruz, Erika Isidra 131489 12/17/2019 Dorn, Amber 149792 7/4/2021 Ehmen, Michele R 55862 6/26/2002 Geiger, Teresa Nanette 58346 1/27/2020 Gonzalez, Maria M 51192 8/18/2011 Harris, Jeanette A 8199 12/9/1992 Hixson, Deborah Ruth 5152 9/21/2021 Jantzen, Janie M 1944 2/23/1990 Knipe, Michael William 127395 5/27/2021 Krauter, Cortney Jean 119526 1/27/2020 Little, Colette R 1010 5/7/1984 Maguire, Erin Renee 45579 7/5/2012 McCubbin, Annah K 101369 10/17/2013 McCubbin, Annah K 3087 10/17/2013 McDonald, Haleigh Dawnn 142565 9/16/2020 Neemann, Hayley Marie 146244 1/17/2021 Otto, Kailey 144211 8/27/2020 Otto, Kathryn T 1941 11/27/1984 Parrott, Chelsie Lea 147496 9/10/2021 Pressler, Lindsey Marie 138089 9/9/2020 Ray, Jessica 103387 1/26/2021 Rodriquez, Jordan Marie 131492 1/17/2020 Ruyle, Grace Taylor 144046 7/27/2020 Shera, Hannah 144421 8/13/2021 Shirley, Stacy Marie 51890 5/30/2012 Smith, Belinda Sue 44886 5/27/2021 Valles, Ruby 146245 6/9/2021 Waters, Susan Kathy Alice 91274 8/15/2019 -
Saffron Walden Mazes Records Show That by 1905 the Maze Was Open to the Public
Swan Meadow Maze The Saffron The town’s most recent Walden Mazes open-air maze was opened in August 2016 by world expert Jeff Saward to mark the beginning of the third Saffron Walden Maze Festival and, appropriately for a gateway to the town’s historic attractions, its internal layout announces that ‘Saffron Walden Amazes’. The use of reconstituted stone paving for the walkways, dark blue slate pieces to infill the subdivisions, woven willow for the fence enclosure and external ground cover The Jubilee Garden Labyrinth planting of pachysandra and miniature daffodils is intended to complement the natural surroundings of It was always the hope of the Saffron Walden Initiative willow trees and the nearby duck pond. committee members, who organised the second Saffron Miniature finger labyrinths and mazes are set into the Walden Maze Festival in 2013, that they would be able to tops of pre-cast planters featuring a Greek key design leave a permanent and tangible addition to the unique and provide the opportunity of added interaction for presence of two historic mazes in the town. After young children as they move around the turns of the investigating three other sites which proved maze’s pathways. There are two entry/exit points from incompatible with ancient monument restrictions or the adjacent public footpath, each of which link to the local authority plans for recreation, the centrally located north-east corner where a large angular head overlooks Jubilee Garden bandstand was proposed and approved the whole installation. by the Town Council. The form of the octagonal covered space suggested a Michael Ayrton’s Sun Maze Sculpture labyrinth made out of contrasting paving blocks laid over the existing concrete slab, which will permit its in The Fry Art Gallery continued use for music performances and art exhibitions.