Number Theory Pattern Explorer

Developer
Ben Matthews
Size
3,935 Kb
Views
20,240
  1. Number Theory Pattern Explorer Previews
  2. Number Theory Pattern Explorer HTML Codes
  3. Number Theory Pattern Explorer CSS Codes
  4. Number Theory Pattern Explorer JS Codes

How do I make an number theory pattern explorer?

Instructions: -Drag the mouse to navigate the graph --Drag motion is only responsive on release (to prevent the browser from hanging). What is a number theory pattern explorer? How do you make a number theory pattern explorer? This script and codes were developed by Ben Matthews on 10 September 2022, Saturday.

Number Theory Pattern Explorer Previews
IQ Test

Number Theory Pattern Explorer - Script Codes HTML Codes

<!DOCTYPE html>
<html class="https://github.com/processing/p5.js/releases/download/0.5.6/p5.min.js">
<head> <meta charset="UTF-8"> <title>Number Theory Pattern Explorer</title> <link rel="stylesheet" href="css/style.css">
</head>
<body> <label id="coordinates">0, 0</label> <script src='https://github.com/processing/p5.js/releases/download/0.5.6/p5.min.js'></script>
<script src='https://cdnjs.cloudflare.com/ajax/libs/dat-gui/0.6.2/dat.gui.min.js'></script> <script src="js/index.js"></script>
</body>
</html>

Number Theory Pattern Explorer - Script Codes CSS Codes

* { margin:0; padding:0; }
html, body { width:100%; height:100%; }
canvas { display:block; }
#coordinates { position: absolute; background-color: #EEEEEE; font-size: 20px; top: 5px; left: 10px;
}

Number Theory Pattern Explorer - Script Codes JS Codes

window.addEventListener('resize', resize, false);
var coordLabel = document.getElementById("coordinates");
function getPresetJSON(){ return { "preset": "twin_primes", "remembered": { "Default": { "0": { "cellSize": 8, "show_1": true, "show_2": true, "show_3": true, "pattern_explorer": "", "OR_1": "", "OR_2": "", "OR_3": "", } }, "pattern_example": { "0": { "cellSize": 8, "show_1": true, "pattern_explorer": "010101010", "OR_1": "111101111", "OR_2": "", "OR_3": "", } }, "twin_primes": { "0": { "cellSize": 8, "show_2": true, "pattern_explorer": "111000111", "OR_1": "111101111", "OR_2": "111001111", "OR_3": "111100111", } }, "LRUD": { "0": { "cellSize": 8, "show_1": true, "pattern_explorer": "000101010", "OR_1": "010101000", "OR_2": "010001010", "OR_3": "010100010", } }, "corners": { "0": { "cellSize": 8, "show_3": true, "pattern_explorer": "111101110", "OR_1": "111101011", "OR_2": "110101111", "OR_3": "011101111", } } }, "closed": false, "folders": { "OR": { "preset": "Default", "closed": false, "folders": {} } } };
}
var cellSize = 8;
var alpha_mod = 70;
var show_1 = true;
var show_2 = true;
var show_3 = true;
var gui;
var xOffSet = 0;
var yOffSet = 0;
var xStartDrag = 0;
var yStartDrag = 0;
var pattern_explorer = ""; //must be a sting of 1s and 0s of length 9
var OR_1 = "";
var OR_2 = "";
var OR_3 = "";
var patterns = [];
var negPatterns = [];
var colors = [];
var gcd = function(a, b) { if ( ! b) { return a; } return gcd(b, a % b);
};
function setup(){ createCanvas(); colorMode(HSB, 360, 100, 100, 100); var guiItems = []; gui = new dat.GUI({ load: getPresetJSON(), preset: 'Default', }); gui.remember(this); guiItems.push(gui.add(this, "cellSize", 3, 20)); guiItems.push(gui.add(this, "alpha_mod", 50, 100)); guiItems.push(gui.add(this, "show_1")); guiItems.push(gui.add(this, "show_2")); guiItems.push(gui.add(this, "show_3")); guiItems.push(gui.add(this, "pattern_explorer")); var folder = gui.addFolder("OR"); guiItems.push(folder.add(this, "OR_1")); guiItems.push(folder.add(this, "OR_2")); guiItems.push(folder.add(this, "OR_3")); folder.close(); guiItems.push(gui.add(this, "reset")); for (var i = 0; i < guiItems.length; i++){ guiItems[i].onFinishChange(preDraw); } patterns = []; negPatterns = []; colors = []; for (var i = 0; i < 3; i++){ patterns.push([]); negPatterns.push([]) colors.push([]); } for (var i = 0; i < 3; i++){ var thresh = pow(2, 4+i*2); for (var j = 0; j <= thresh; j++){ var ratio = j/thresh; colors[i].push(color(ratio*300, 100, 100, alpha_mod)); } } resize(); preDraw();
}
function reset(){ cellSize = 8; show_1 = true; show_2 = true; show_3 = true; pattern_explorer = ""; OR_1 = OR_2 = OR_3 = ""; xOffSet = 0; yOffSet = 0; for (var i in gui.__controllers) { gui.__controllers[i].updateDisplay(); }
}
function preDraw(){ background(200, 40, 100); noStroke(); for (var i = xOffSet*3; i < xOffSet*3 + width/cellSize; i++){ for (var j = yOffSet*3; j < yOffSet*3 + height/cellSize; j++){ fill(100); if (gcd(i+1, j+1) == 1) fill(0); rect((i - xOffSet*3)*cellSize, (j- yOffSet*3)*cellSize, cellSize, cellSize); } } overlay();
}
function overlay(){ for (var x = xOffSet; x < xOffSet + width/cellSize; x++){ for (var y = yOffSet; y < yOffSet + height/cellSize; y++){ var negativeFlag = false; var pat = (x%2)+(y%2); if (pat < 0){ pat = abs(pat); negativeFlag = true; } if (!show_1 && pat==0) continue; if (!show_2 && pat==1) continue; if (!show_3 && pat==2) continue; var xStart = x*3 + 1; var yStart = y*3 + 1; var s = ""; if (y < x){ for (var i = 0; i < 3; i++){ for (var j = 0; j < 3; j++){ if (gcd(xStart+i+1, yStart+j+1) == 1) s+= "1"; else s += "0" } } } else { for (var j = 0; j < 3; j++){ for (var i = 0; i < 3; i++){ if (gcd(xStart+i+1, yStart+j+1) == 1) s+= "1"; else s += "0" } } } if (pattern_explorer.length == 9 && s != pattern_explorer && s != OR_1 && s != OR_2 && s!= OR_3) continue; var index = 0; if (negativeFlag){ index = patterns[pat].indexOf(s); if (index == -1){ patterns[pat].push(s); index = patterns[pat].length - 1; } } else { index = negPatterns[pat].indexOf(s); if (index == -1){ negPatterns[pat].push(s); index = negPatterns[pat].length - 1; } } index %= colors[pat].length; fill(colors[pat][index]); rect(((x-xOffSet)*3 + 1)*cellSize, ((y - yOffSet)*3 + 1)*cellSize, cellSize*3, cellSize*3); } }
}
function mouseMoved(){ var xCoord = floor(mouseX/cellSize) + xOffSet*3 + 1; var yCoord = floor(mouseY/cellSize) + yOffSet*3 + 1; coordLabel.innerHTML = xCoord + ", " + yCoord;
}
function mousePressed(){ xStartDrag = mouseX; yStartDrag = mouseY;
}
function mouseReleased(){ xOffSet += floor((xStartDrag - mouseX)/(3*cellSize)); yOffSet += floor((yStartDrag - mouseY)/(3*cellSize)); preDraw();
}
function draw(){
}
function resize(){ resizeCanvas(window.innerWidth, window.innerHeight); preDraw();
}
Number Theory Pattern Explorer - Script Codes
Number Theory Pattern Explorer - Script Codes
Home Page Home
Developer Ben Matthews
Username tsuhre
Uploaded September 10, 2022
Rating 3
Size 3,935 Kb
Views 20,240
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