蛋糕的由来:
某天在b站上看到某up主,用ipad手绘了一个蛋糕,当时觉得还不错,于是就想自己也画一个蛋糕出来。但奈何画画技术不行,于是就想到利用刚学完的python来实现。
下面我来展示我的代码:
import turtle as timport math as mimport random as rdef drawX(a, i):angle = m.radians(i)return a * m.cos(angle)def drawY(b, i):angle = m.radians(i)return b * m.sin(angle)# 设置背景颜色,窗口位置以及大小t.bgcolor("#d3dae8")t.setup(1000, 800)t.penup()t.goto(150, 0)t.pendown()# 1t.pencolor("white")t.begin_fill()for i inrange(360):x = drawX(150, i)y = drawY(60, i)t.goto(x, y)t.fillcolor("#fef5f7")t.end_fill()# 2t.begin_fill()for i inrange(180):x = drawX(150, -i)y = drawY(70, -i)t.goto(x, y)for i inrange(180, 360):x = drawX(150, i)y = drawY(60, i)t.goto(x, y)t.fillcolor("#f2d7dd")t.end_fill()
# 3t.pu()t.goto(120, 0)t.pd()t.begin_fill()for i in range(360):x = drawX(120, i)y = drawY(48, i)t.goto(x, y)t.fillcolor("#cbd9f9")t.end_fill()# 4t.begin_fill()t.pencolor("#fee48c")for i in range(540):x = drawX(120, i)y = drawY(48, i) + 70t.goto(x, y)t.goto(-120, 0)t.fillcolor("#cbd9f9")t.end_fill()# 5t.pu()t.goto(120, 70)t.pd()t.pencolor("#fff0f3")t.begin_fill()for i in range(360):x = drawX(120, i)y = drawY(48, i) + 70t.goto(x, y)t.fillcolor("#fff0f3")t.end_fill()# 6t.pu()t.goto(110, 70)t.pd()t.pencolor("#fff9fb")t.begin_fill()for i in range(360):x = drawX(110, i)y = drawY(44, i) + 70t.goto(x, y)t.fillcolor("#fff9fb")t.end_fill()# 7t.pu()t.goto(120, 0)t.pd()t.begin_fill()t.pencolor("#ffa79d")for i in range(180):x = drawX(120, -i)y = drawY(48, -i) + 10t.goto(x, y)t.goto(-120, 0)for i in range(180, 360):x = drawX(120, i)y = drawY(48, i)t.goto(x, y)t.fillcolor("#ffa79d")t.end_fill()# 8t.pu()t.goto(120, 70)t.pd()t.begin_fill()t.pensize(4)t.pencolor("#fff0f3")for i in range(1800):x = drawX(120, 0.1 * i)y = drawY(-18, i) + 10t.goto(x, y)t.goto(-120, 70)t.pensize(1)for i in range(180, 360):x = drawX(120, i)y = drawY(48, i) + 70t.goto(x, y)t.fillcolor("#fff0f3")t.end_fill()# 9t.pu()t.goto(80, 70)t.pd()t.begin_fill()t.pencolor("#6f3732")t.goto(80, 120)for i in range(180):x = drawX(80, i)y = drawY(32, i) + 120t.goto(x, y)t.goto(-80, 70)for i in range(180, 360):x = drawX(80, i)y = drawY(32, i) + 70t.goto(x, y)t.fillcolor("#6f3732")t.end_fill()# 10t.pu()t.goto(80, 120)t.pd()t.pencolor("#ffaaa0")t.begin_fill()for i in range(360):x = drawX(80, i)y = drawY(32, i) + 120t.goto(x, y)t.fillcolor("#ffaaa0")t.end_fill()# 11t.pu()t.goto(70, 120)t.pd()t.pencolor("#ffc3be")t.begin_fill()for i in range(360):x = drawX(70, i)y = drawY(28, i) + 120t.goto(x, y)t.fillcolor("#ffc3be")t.end_fill()# 12t.pu()t.goto(80, 120)t.pd()t.begin_fill()t.pensize(3)t.pencolor("#ffaaa0")for i in range(1800):x = drawX(80, 0.1 * i)y = drawY(-12, i) + 80t.goto(x, y)t.goto(-80, 120)t.pensize(1)for i in range(180, 360):x = drawX(80, i)y = drawY(32, i) + 120t.goto(x, y)t.fillcolor("#ffaaa0")t.end_fill()# 13t.pu()t.goto(64, 120)t.pd()t.pencolor("#b1c9e9")t.begin_fill()for i in range(360):x = drawX(4, i) + 60y = drawY(1, i) + 120t.goto(x, y)t.goto(64, 170)for i in range(540):x = drawX(4, i) + 60y = drawY(1, i) + 170t.goto(x, y)t.goto(56, 120)t.fillcolor("#b1c9e9")t.end_fill()t.pencolor("white")t.pensize(2)for i in range(1, 6):t.goto(64, 120 + 10 * i)t.pu()t.goto(56, 120 + 10 * i)t.pd()t.pu()t.goto(60, 170)t.pd()t.goto(60, 180)t.pensize(1)#t.pu()t.goto(64, 190)t.pd()t.pencolor("#f1add1")t.begin_fill()for i in range(360):x = drawX(4, i) + 60y = drawY(10, i) + 190t.goto(x, y)t.fillcolor("#f1add1")t.end_fill()# 14t.pu()t.goto(-56, 120)t.pd()t.pencolor("#b1c9e9")t.begin_fill()for i in range(360):x = drawX(4, i) - 60y = drawY(1, i) + 120t.goto(x, y)t.goto(-56, 170)for i in range(540):x = drawX(4, i) - 60y = drawY(1, i) + 170t.goto(x, y)t.goto(-64, 120)t.fillcolor("#b1c9e9")t.end_fill()t.pencolor("white")t.pensize(2)for i in range(1, 6):t.goto(-56, 120 + 10 * i)t.pu()t.goto(-64, 120 + 10 * i)t.pd()t.pu()t.goto(-60, 170)t.pd()t.goto(-60, 180)t.pensize(1)#t.pu()t.goto(-56, 190)t.pd()t.pencolor("#f1add1")t.begin_fill()for i in range(360):x = drawX(4, i) - 60y = drawY(10, i) + 190t.goto(x, y)t.fillcolor("#f1add1")t.end_fill()# 15t.pu()t.goto(0, 130)t.pd()t.pencolor("#b1c9e9")t.begin_fill()for i in range(360):x = drawX(4, i)y = drawY(1, i) + 130t.goto(x, y)t.goto(4, 180)for i in range(540):x = drawX(4, i)y = drawY(1, i) + 180t.goto(x, y)t.goto(-4, 130)t.fillcolor("#b1c9e9")t.end_fill()t.pencolor("white")t.pensize(2)for i in range(1, 6):t.goto(4, 130 + 10 * i)t.pu()t.goto(-4, 130 + 10 * i)t.pd()t.pu()t.goto(0, 180)t.pd()t.goto(0, 190)t.pensize(1)#t.pu()t.goto(4, 200)t.pd()t.pencolor("#f1add1")t.begin_fill()for i in range(360):x = drawX(4, i)y = drawY(10, i) + 200t.goto(x, y)t.fillcolor("#f1add1")t.end_fill()# 16t.pu()t.goto(30, 110)t.pd()t.pencolor("#b1c9e9")t.begin_fill()for i in range(360):x = drawX(4, i) + 30y = drawY(1, i) + 110t.goto(x, y)t.goto(34, 160)for i in range(540):x = drawX(4, i) + 30y = drawY(1, i) + 160t.goto(x, y)t.goto(26, 110)t.fillcolor("#b1c9e9")t.end_fill()t.pencolor("white")t.pensize(2)for i in range(1, 6):t.goto(34, 110 + 10 * i)t.pu()t.goto(26, 110 + 10 * i)t.pd()t.pu()t.goto(30, 160)t.pd()t.goto(30, 170)t.pensize(1)#t.pu()t.goto(34, 180)t.pd()t.pencolor("#f1add1")t.begin_fill()for i in range(360):x = drawX(4, i) + 30y = drawY(10, i) + 180t.goto(x, y)t.fillcolor("#f1add1")t.end_fill()# 17t.pu()t.goto(-30, 110)t.pd()t.pencolor("#b1c9e9")t.begin_fill()for i in range(360):x = drawX(4, i) - 30y = drawY(1, i) + 110t.goto(x, y)t.goto(-26, 160)for i in range(540):x = drawX(4, i) - 30y = drawY(1, i) + 160t.goto(x, y)t.goto(-34, 110)t.fillcolor("#b1c9e9")t.end_fill()t.pencolor("white")t.pensize(2)for i in range(1, 6):t.goto(-26, 110 + 10 * i)t.pu()t.goto(-34, 110 + 10 * i)t.pd()t.pu()t.goto(-30, 160)t.pd()t.goto(-30, 170)t.pensize(1)#t.pu()t.goto(-26, 180)t.pd()t.pencolor("#f1add1")t.begin_fill()for i in range(360):x = drawX(4, i) - 30y = drawY(10, i) + 180t.goto(x, y)t.fillcolor("#f1add1")t.end_fill()###随机color = ["#e28cb9", "#805a8c", "#eaa989", "#6e90b7", "#b8b68f", "#e174b5", "#cf737c", "#7c8782"]for i in range(80):t.pu()x = r.randint(-120, 120)y = r.randint(-25, 30)t.goto(x, y)t.pd()t.dot(r.randint(2, 5), color[r.randint(0, 7)])for i in range(40):t.pu()x = r.randint(-90, 90)y = r.randint(-35, 10)t.goto(x, y)t.pd()t.dot(r.randint(2, 5), color[r.randint(0, 7)])for i in range(40):t.pu()x = r.randint(-80, 80)y = r.randint(60, 90)t.goto(x, y)t.pd()t.dot(r.randint(2, 5), color[r.randint(0, 7)])for i in range(30):t.pu()x = r.randint(-50, 50)y = r.randint(45, 70)t.goto(x, y)t.pd()t.dot(r.randint(2, 5), color[r.randint(0, 7)])
for i in range(50):t.pu()x = r.randint(-500, 500)y = r.randint(120, 300)t.goto(x, y)t.pd()t.dot(r.randint(3, 5), color[r.randint(0, 7)])t.seth(90)t.pu()t.goto(0, 0)t.fd(210)t.left(90)t.fd(170)t.pd()t.write("Happy Birthday", font=("Curlz MT", 50))t.done()

好像上传不了视频,所以就不演示了,有兴趣的话可以拿源码去跑一下
其实这里需要注意的是这份代码写的比较low,有许多重复的代码,没有用函数封装起来,一点都不优雅。希望大家可以在以后写代码的时候可以注意一下这一点。
这里比较难的点,就是任意曲线的绘制。对于这个问题,我一开始也想了很多办法,也去网上查了很多资料,但是关于这方面的资料好像比较少。当时我在知乎等一些文章上发现一些大佬用本轮法进行图像的绘制,好像是轮子的个数越多,画出来的图像就越精准,其原理就是利用了高等数学下册的傅里叶变换。那时看了许多这种类型的文章,但是由于我们还没有学习傅里叶变换,也就看了一个寂寞。
后来我在看turtle库时,发现了一个goto函数,也就是在画板上以正中心为原点,右边为x轴的正方向,上边为y轴的正方向。于是我就想到了用我们高中学过的参数方程来实现任意曲线的绘制。大家可以尝试着用一下参数方程来绘制自己想要的图形

最后我想说的是,数学真的很重要!!!
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