This article mainly introduces the implementation code of p5.js Pythagoras tree. Now I will share it with you and give you a reference.
This article introduces the implementation code of p5.js Pythagoras tree and shares it with everyone. The details are as follows:
The effect is as follows:
Main methods
translate()
rotate()
rect()
push()
pop()
map()
Main idea
Recursion
Sketch
Process Decomposition
1. Recursive function of Pythagoras tree
function Pythagorian(x){ noStroke(); fill(107, 142, 35,map(x, 0, a, 150, 255));//根据正方形边长设置填充色 rect(0,0,x,x);//绘制当前的正方形 if(x <= 3) return 0;//当正方形边长小于3时,结束递归 /* 绘制右上角的正方形 */ push(); rotate(PI / 2 - t);//坐标轴顺时针旋转约37deg translate(0,-x/5 * 3 - x/5*4);//坐标轴向上平移3边+4边的长度 Pythagorian(x/5*4);//递归调用毕达哥拉斯函数 pop(); /* 绘制左上角的正方形 */ push(); rotate( - t);//坐标轴逆时针旋转约53deg translate(0,-x/5 * 3);//坐标轴向上平移3边的长度 Pythagorian(x/5*3);//递归调用毕达哥拉斯函数 pop(); }
2. Declare variables and create canvas
var a = 100; //最大正方形边长 var t;//4边所对应的角度 function setup(){ t = 53.1301024 / 360 * 2 * PI;//约为53deg createCanvas(windowWidth, windowHeight);//创建画布 background(255); noLoop();//draw()函数只执行一次 }
3. Start drawing the Pythagoras tree
function draw(){ translate(windowWidth/2, windowHeight - a * 2);//将坐标系平移至画布中间底部 Pythagorian(a);//调用毕达哥拉斯递归函数 }
Complete code for drawing the Pythagoras tree
var a = 100; var t; function setup(){ t = 53.1301024 / 360 * 2 * PI; createCanvas(windowWidth, windowHeight); background(255); noLoop(); } function draw(){ translate(windowWidth/2, windowHeight - a * 2); Pythagorian(a); } function Pythagorian(x){ noStroke(); fill(107, 142, 35,map(x, 0, a, 150, 255)); rect(0,0,x,x); if(x <= 3) return 0; push(); rotate(PI / 2 - t); translate(0,-x/5 * 3 - x/5*4); Pythagorian(x/5*4); pop(); push(); rotate( - t); translate(0,-x/5 * 3); Pythagorian(x/5*3); pop(); }
The above is what I compiled for everyone. I hope it will be helpful to everyone in the future.
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