The Entrance\n<\/h2>\n\n\n\n
You should review the Nonrepresentational Painting World functionality, and the mechanisms for selection and repetition previously presented in lecture and in lab. You might also like to adopt a frame of mind in which laying down shapes in the plane resonates with nonrepresentational art. Perhaps you would like to Google Klee, Stella, Hirst, and a number of other modern artists, in order to explore some of their images and ideas. <\/p>\n\n\n\n
Problem 1: The Cave<\/h2>\n\n\n\n
There is a style of top-down video game where you move through progressively narrowing, winding caves. This style of game first appeared as a text-based game. In this problem you’re going to generate a piece of a map for one of these games. If you don’t like that kind of thing, you can think of this as just generating a nice little text-based image.<\/p>\n\n\n\n
Write a program called CaveMap<\/tt> in your npw<\/tt> package that will (1) accept, from the standard input stream, data corresponding to the width of the map, and the width of the cave, and (2) print, to the standard output stream, the map made of stars to represent a wall, and white space to represent the cave. Your program should be consistent with the following set of three demos: <\/p>\n\n\n\n Moreover, your program should be consistent with the following Java program text. What we did was to write the program, and then delete the instructions within the main method, and the entire drawOneRow method. Your job is to add the instructions back. Or at least, instructions which will do the job. Other than adding instructions pertaining to these two methods, all of the executable code should remain exactly as in the accompanying program text. You should be able to use your program to generate the game maps that appear in my demo, and many others, as well. <\/p>\n\n\n\n Write a program called Entropy<\/tt> in your npw<\/tt> package to paint a series of vertical columns, each with several diamonds in them, with the diamonds exhibiting more randomness in terms of rotation, size, and location as they move to the right. The width and height of the canvas, as well as the scale of the diamonds, should be read from dialog boxes. Actually, we have written this one for you. What we would like for you to do is enter it carefully (don’t copy\/paste!<\/strong>), run it several times, and study it<\/strong>! It’s important that you understand how it works for later parts of this assignment.<\/p>\n\n\n\n Write a variant of the Entropy program which uses color, set by column. Your program might use randomized colors in some way, or it might use some range of colors to achieve some effect you like. The only constraint is that you must make some use of the chaosFactor variable in choosing your color. You should do this task as follows:<\/p>\n\n\n\n Of course you will want to run your program a number of times to be sure it’s doing what it’s supposed to.<\/p>\n\n\n\n Write a variant of your EntropyInColor<\/tt> class in your npw<\/tt> package which paints images like the one shown. Call this program HirstLattice<\/tt>. Moreover, do this task by: <\/p>\n\n\n\n Run your program a number of times to see that it is doing what it is supposed to do. <\/p>\n\n\n\n This one requires a couple clever thoughts! Be sure you have read and understand all of the code in the previous two problems.<\/p>\n\n\n\n Write a variant of your HirstLattice<\/tt> class in your npw<\/tt> package which paints images like the one shown. Call this program HirstDots<\/tt>. Moreover, do this task by: <\/p>\n\n\n\n Run your program a number of times to see that it is doing what it is supposed to do. <\/p>\n\n\n\n Write a program called Invention1<\/tt> in your npw<\/tt> package which paints an image subject to the following constraints. Do not just modify the above programs in 2-5 – make your own thing! Your invention should be significantly different from other students’ inventions!<\/strong><\/p>\n\n\n\n Run it (at least) twice to make sure the output is the same each time you run the program. <\/p>\n\n\n\n Write a program called Invention2<\/tt> in your npw<\/tt> package which paints an image subject to the following constraints. Do not just modify the above programs in 2-5 – make your own thing! Your invention should be significantly different from other students’ inventions!<\/strong><\/p>\n\n\n\n Run it twice to make sure the output is not the same each time you run the program. <\/p>\n\n\n\n Write a program called Pinwheel<\/tt> in your npw<\/tt> package which paints images like the ones just presented. The constraints are these: <\/p>\n\n\n\nrun:\nEnter the width of the game map: 8\nEnter the width of the cave (must be less than the game map width): 5\n ***\n* **\n** *\n*** \n** *\n* **\n ***\n\nEnter the width of the game map: 10\nEnter the width of the cave (must be less than the game map width): 4\n ******\n* *****\n** ****\n*** ***\n**** **\n***** *\n****** \n***** *\n**** **\n*** ***\n** ****\n* *****\n ******\n\nEnter the width of the game map: 5\nEnter the width of the cave (must be less than the game map width): 1\n ****\n* ***\n** **\n*** *\n**** \n*** *\n** **\n* ***\n ****<\/pre>\n\n\n\n
\n\/*\n * Program to draw a part of a map for a cave travelling game.\n * Game width and cave width are read from standard input.\n *\/\npackage npw;\n\nimport java.util.Scanner;\n\npublic class Cave {\n\n public static void main(String[] args) {\n }\n\n public static void drawMap(int caveWidth, int gameWidth){\n \/\/ Cave moving right...!\n for (int i = 0; i < gameWidth - caveWidth; i = i + 1){\n drawOneRow(i, caveWidth, gameWidth);\n System.out.println();\n }\n \/\/ Cave moving left...!\n for (int i = gameWidth - caveWidth; i >= 0; i = i - 1){\n drawOneRow(i, caveWidth, gameWidth);\n System.out.println();\n }\n }\n}\n <\/pre>\n\n\n\nProblem 2: Entropy<\/h2>\n\n\n
![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2023\/10\/Screenshot-2023-10-13-at-5.06.19-PM-1024x741.png\")
<\/figure>\n<\/div>\n\n\n\n\/*\n * A program to paint an artistic representation of entropy in the NPW.\n *\/\npackage npw;\n\nimport painter.SPainter;\nimport shapes.SCircle;\nimport shapes.SSquare;\n\nimport javax.swing.*;\nimport java.awt.*;\nimport java.util.Scanner;\n\npublic class Entropy {\n\n private void paintTheImage(){\n\n \/\/ determine the canvas dimensions\n int canvasHeight = getNumber(\"Canvas height\");\n int canvasWidth = getNumber(\"Canvas width\");\n\n \/\/ set up a circle (imagining a sphere-packing problem :)\n \/\/ and get the square inscribing the circle so that the lattice\n \/\/ will be just perfect.\n int radius = getNumber(\"Diamond scale\");\n SCircle invisibleCircle = new SCircle(radius);\n SSquare sq = invisibleCircle.inscribingSquare();\n\n \/\/ instantiate the painter and canvas\n SPainter cassatt = new SPainter(\"Entropy\", canvasWidth, canvasHeight);\n\n \/\/ frame the canvas: we want a 10 unit frame of white on all sides.\n int frameDepth = 10;\n\n \/\/ compute the number of columns needed\n \/\/ working canvas width \/ diameter of invisibleCircle\n int totalNumberOfColumns = (int) ((canvasWidth-2*frameDepth)\/invisibleCircle.diameter());\n\n \/\/ check the work and adjust horizontal frameDepth as needed.\n int horizFrameDepth = (int) ((canvasWidth - (totalNumberOfColumns * invisibleCircle.diameter())) \/ 2);\n\n \/\/ compute the number of squares needed per column\n int numberOfSquaresPerColumn = (int) ((canvasHeight - 2*frameDepth)\/invisibleCircle.diameter());\n\n \/\/ check the work and adjust the vertical frameDepth as needed\n int vertFrameDepth = (int) ((canvasHeight - (numberOfSquaresPerColumn * invisibleCircle.diameter())) \/ 2);\n\n \/\/ move the painter to the top left of the working canvas area\n \/\/ remember, painter began at center of canvas\n cassatt.mfd(0.5*canvasHeight-vertFrameDepth);\n cassatt.mlt(0.5*canvasWidth-horizFrameDepth);\n\n \/\/ center the painter over the first column\n cassatt.mrt(invisibleCircle.radius());\n\n \/\/ track the number of columns painted\n int colNumber = 0;\n\n \/\/ introduce a chaos factor to change things up\n double chaosFactor = 0;\n\n while (colNumber < totalNumberOfColumns){\n \/\/ set the color for the column\n cassatt.setColor(chooseColor());\n\n \/\/ paint a column\n paintOneColumn(cassatt,sq,numberOfSquaresPerColumn, chaosFactor);\n\n \/\/ center the painter over the next column\n cassatt.mrt(invisibleCircle.diameter());\n colNumber = colNumber + 1;\n chaosFactor = (1.0\/totalNumberOfColumns)*colNumber;\n }\n }\n\n private Color chooseColor() {\n return Color.BLACK;\n }\n\n private void paintOneColumn(SPainter cassatt, SSquare sq, int numberOfSquaresPerColumn, double chaosFactor) {\n \/\/ move down enough to paint the first square\n cassatt.mbk(sq.diagonal()*0.5);\n\n \/\/ track the amount of distance travelled\n double distanceTraveled = sq.diagonal()*0.5;\n\n \/\/ track the number of squares that get painted in the column\n int squareNumber = 0;\n while(squareNumber < numberOfSquaresPerColumn){\n\n \/\/ paint a square, but as a diamond\n paintOneDiamond(cassatt,sq,chaosFactor);\n\n \/\/ move down\n cassatt.mbk(sq.diagonal());\n\n \/\/ track distance covered\n distanceTraveled = distanceTraveled + sq.diagonal();\n\n \/\/ track number of squares painted so far\n squareNumber = squareNumber + 1;\n }\n\n \/\/ make sure the painter is invariant wrt position\n cassatt.mfd(distanceTraveled);\n }\n\n private void paintOneDiamond(SPainter cassatt, SSquare sq, double chaosFactor) {\n\n \/\/ set the default values\n double origSquareSide = sq.side();\n double rotationOffset = 0;\n double offsetDirection = 0;\n double offsetDistance = 0;\n\n \/\/ when the chaosFactor is high enough, redefine the key values (sometimes)\n if (chaosFactor > 0.3){\n \/\/ flip the coin!\n double probability = Math.random();\n\n \/\/ for a heads, offset the diamond rotation a bit\n if (probability > 0.5){\n rotationOffset = (Math.random()*30)-15;\n }\n }\n\n if(chaosFactor > 0.5){\n \/\/ flip the coin!\n double probability = Math.random();\n\n \/\/ for a heads, change the size of the diamond a little bit\n if (probability > 0.5){\n double shrinkRate = (1 - probability)*0.7;\n sq.resetSide((int) ((1-shrinkRate)*origSquareSide));\n }\n }\n\n if (chaosFactor > 0.75){\n \/\/ flip a coin!\n double probability = Math.random();\n\n if (chaosFactor > 0.9){\n if (probability > 0.5){\n offsetDirection = Math.random()*360;\n offsetDistance = (Math.random()*(sq.diagonal()*0.5))*chaosFactor;\n }\n } else {\n\n \/\/ for a heads, paint the diamond off center\n if (probability > 0.5) {\n offsetDirection = Math.random() * 360;\n offsetDistance = (Math.random() * (sq.diagonal() * 0.5)) * 0.4;\n }\n }\n }\n\n \/\/ move the painter off center from the circle\n cassatt.tr(offsetDirection);\n cassatt.mfd(offsetDistance);\n cassatt.tl(offsetDirection);\n\n \/\/ rotate so that the square becomes a diamond\n cassatt.tr(45+rotationOffset);\n\n \/\/ paint\n cassatt.paint(sq);\n\n \/\/ rotate back!\n cassatt.tl(45+rotationOffset);\n\n \/\/ move the painter back to the center of the circle\n cassatt.tr(offsetDirection);\n cassatt.mbk(offsetDistance);\n cassatt.tl(offsetDirection);\n\n \/\/ if the square's side was adjusted, put it back\n sq.resetSide((int) origSquareSide);\n }\n\n private static int getNumber(String prompt) {\n String nss = JOptionPane.showInputDialog(null,prompt+\"?\");\n Scanner scanner = new Scanner(nss);\n return scanner.nextInt();\n }\n\n \/\/ REQUIRED INFRASTRUCTURE\n\n public Entropy(){\n paintTheImage();\n }\n\n public static void main(String[] args){\n SwingUtilities.invokeLater(new Runnable(){\n public void run () {\n new Entropy();\n }\n });\n }\n}\n\n<\/pre>\n\n\n\nProblem 3: Entropy in Color<\/h2>\n\n\n\n
![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2023\/10\/Screenshot-from-2023-10-14-16-10-17-1002x1024.png\")
<\/figure>\n\n\n\n![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2023\/10\/Screenshot-2023-10-13-at-5.01.07-PM-1-1024x923.png\")
<\/figure>\n\n\n\n![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2023\/10\/Screenshot-2023-10-13-at-4.57.22-PM-1-853x1024.png\")
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Problem 4: Hirst Lattice<\/h2>\n\n\n
![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2023\/10\/Screenshot-from-2023-10-14-16-26-20-989x1024.png\")
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Problem 5: Hirst Dots <\/h2>\n\n\n\n
![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2019\/03\/image-4-1024x642.png\")
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Problem 6: Deterministic Invention <\/h2>\n\n\n\n
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Problem 7: Nondeterministic Invention <\/h2>\n\n\n\n
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Problem 8: Pinwheel<\/h2>\n\n\n\n
![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2023\/10\/pinwheel_1-993x1024.png\")
<\/figure>\n\n\n\n![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2023\/10\/pinwheel_2-993x1024.png\")
<\/figure>\n\n\n\n![\"\"](\"https:\/\/danielschlegel.org\/wp\/wp-content\/uploads\/2023\/10\/pinwheel_3-993x1024.png\")
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