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Title	Blinking Ulam
ID	957060595
Created	Unknown
Updated	13 years ago, 1344643611306
Code	var cellSize = 51; //set the cell size var circleScale = 1; //scale of each circle relative to cell //make sure cell size doesn't get too small cellSize = max(3, cellSize); //find the total number of cells in each direction var xCells = round(400 / cellSize) + 1; //added one in previous line to make sure that we fill the canvas var yCells = xCells; //we need the same number of cells in the x and y directions //initialize 2-dimensional array that holds the cell values var cellArray = []; for(var i = 0; i < xCells + 1; i++) { cellArray[i] = []; } //initialize another 2-dimensional array to hold the cell state used for coloring var cellState = []; for(var i = 0; i < xCells + 1; i++) { cellState[i] = []; } //calculate the "center" cell in the matrix var curCellX = round(xCells / 2); var curCellY = round(yCells / 2); //determines the direction we are traveling in as we spiral var xDir = 1; var yDir = 0; //makes sure that the center cell exactly corressponds to the center of the canvas var offset = 200 - cellSize * curCellX; //determines the number of factors var numFactors = function(number) { if (number===1) { return 1; } var factorCount = 0; var sqrtNum = sqrt(number); for (var i = 1; i <= sqrtNum; i++) { if (number % i === 0) { factorCount++; } } if (number/round(sqrtNum)===sqrtNum) { return (2factorCount - 1); } else { return (2factorCount); } }; background(37, 48, 48); //fill in the values of the array in a spiral pattern var numCells = max(1, xCellsyCells); for (var number = 1; number < numCells; number ++) { var value = numFactors(number); cellArray[curCellX][curCellY] = value; cellState[curCellX][curCellY] = 0; //don't want to draw the boundaries of the circles if the cells are too small if (cellSize < 10) { noStroke(); } if (xDir === 1 && yDir === 0) { //going right if (!cellArray[curCellX][curCellY - 1]) { xDir = 0; yDir = -1; } } else if (xDir === 0 && yDir === -1) { //going up if (!cellArray[curCellX - 1][curCellY]) { xDir = -1; yDir = 0; } } else if (xDir === -1 && yDir === 0) { //going left if (!cellArray[curCellX][curCellY + 1]) { xDir = 0; yDir = 1; } } else { //going down if (!cellArray[curCellX + 1][curCellY]) { xDir = 1; yDir = 0; } } curCellX += xDir; curCellY += yDir; } noStroke(); //This animates by incrementing the color state by the number of factors. Resets at 255 var draw = function() { background(255, 255, 255); for (var i=0; i < xCells; i++) { for(var j=0; j < yCells; j++) { value = cellArray[i][j]; var prevState = cellState[i][j]; var newState = (prevState + value)%255; cellState[i][j] = newState; var avgState = (newState+cellState[i+1][j+1]+cellState[i+1][j]+cellState[i][j+1])/4; fill(avgState, avgState/value10, avgState/value/value20); rect(cellSizei+offset, cellSizej+offset, cellSize, cellSize); fill(newState, newState/value10, newState/value/value20); ellipse(cellSizei+offset, cellSizej+offset, cellSizecircleScale/sqrt(value), cellSize*circleScale/sqrt(value)); } } };
Folds
Fork	false
Key	ag5zfmtoYW4tYWNhZGVteXIUCxIKU2NyYXRjaHBhZBjzq67IAww
Votes	1203
Spin-Offs	236
Type
Width	400
Height	400
User Flagged	false
Origin Scratchpad	{"id":"956488031","title":"Ulam Spiral Fun","deleted":"false","official":"false"}
Hidden From Hotlist	false
Restricted Posting	false
By Child	false
Author Nick	Sal Khan
Author Name	sal
Author ID	kaid_326465577260382527912172
Author Profile Access	COACH

Archive Data

Added	1 years ago, 1707881057120
Updated	7 months ago, 1744820486079
Source Deleted	unknown