Some Hedge Mazes. Ian Stark. Laboratory for Foundations of Computer Science 24 March
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1 Laboratory for Foundations of Computer Science 24 March
2 A Small Maze
3 A Small Maze and its Solution
4 Mazes on Computers Maze War, c.1974
5 Mazes on Computers Scratch, c.2008 Maze War, c.1974
6 Maze Robots UK Micromouse Contest 2007
7 Other Mazes in Computer Games
8 Other Mazes in Computer Games You You are are in in a maze of of twisty little passages, all all alike _
9 Hampton Court Palace
10 Hampton Court Maze
11 Egeskov Slot, Fyn, Denmark
12 Mazes at Egeskov
13 Maze at Egeskov
14 Maze Exit
15 Piet Hein
16 Superellipses n = 2 x a n + y b n = 1 n = 2.5 n = 5
17 Superelliptical Cityscape Sergel s Torv, Stockholm, Sweden
18 Superegg The Egg (2003) in Marselis Palace, Aarhus, Denmark
19 Uses for a Supercircle resembles but is legally distinct from
20 Uses for a Supercircle resembles but is legally distinct from
21 Cawdor Castle
22 Cawdor Castle Gardens
23 Cawdor Castle Gardens
24 Bad News (1/2)
25 Bad News (2/2) A long walk in a small place
26 Roman Mosaic, Conimbriga, Portugal This is a labyrinth It is not a maze
27 Labyrinths All these are unicursal, having a single route and no branching
28 Labyrinths vs. Mazes Labyrinths Single route Outcome predetermined, fixed Follow the paths as directed Obedience, submission Safety, predictability, certainty Since antiquity
29 Labyrinths vs. Mazes Labyrinths Mazes Single route Outcome predetermined, fixed Follow the paths as directed Obedience, submission Safety, predictability, certainty Since antiquity Many possible routes Outcome depends on route chosen Make choices and take responsibility Autonomy, reason, intellect Risk, adventure, discovery, invention, the unexpected Since C17
30 Labyrinths vs. Mazes Labyrinths Mazes Single route Outcome predetermined, fixed Follow the paths as directed Obedience, submission Safety, predictability, certainty Since antiquity Many possible routes Outcome depends on route chosen Make choices and take responsibility Autonomy, reason, intellect Risk, adventure, discovery, invention, the unexpected Since C17 Conjecture Hedge mazes are, are, in in fact, fact, the the light light recreational garden wing wing of of the the Enlightenment. Freedom to make use of one's reason in all matters Kant: What is Enlightenment?
31 Traquair Scotland s oldest inhabited house (1107)
32 Appealing Signage
33 Maze
34 Maze
35 Confident Mazewalker
36 Forthcoming Event Traquair Easter Egg Hunt Sunday 12 April pm Over 5,000 mini eggs will be hidden in the Maze. Only for those under 10, start at 1.30pm. Egg hunts in the old walled garden at 1.00pm and 4.00pm for those under 5. Also scavenger hunt, treasure hunt, etc.
37 Other Mazes Tropical house Tatton Hall, Cheshire Japanese garden
38 Tatton A souvenir of Hampton Court
39 Collodi Parco di Pinocchio, Collodi, Italy
40 Edinburgh Darwin Maze Edinburgh Zoo (demolished) Mirror Maze Edinburgh Dungeon
41 Hedge Mazes in Theme Parks Alice in Wonderland Disneyland Paris Tudor Maze Legoland Windsor
42 One-Way Maze Windsor Railway Station
43 Approaching Points
44 Scone Scone Palace, Perthshire
45 The Murray Star Maze
46 The End
47 Some References Alex Bogomolny. Mazes. In Cut The Knot! Mathematical Association of America, October Adrian Fisher. The Amazing Book of Mazes. Thames & Hudson, Martin Gardner. Mazes. In More Mathematical Puzzles and Diversions, Penguin, The Soma Cube. Ibid..Piet Hein's Superellipse. In Mathematical Carnival. Pelican, UK Micromouse contest. Technology Innovation Centre, Birmingham City University. Jorge Luis Borges. The Garden of Forking Paths. In Fictions. Penguin Classics, 2000.
48 Tricky Questions
Fun and G ames: M az es Perimeter and Area Beth Georg o ia Beth
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