今天7月8号,恰逢儿子生日,我来画个爱心向他表达一下爱意吧:
>>> print('\n'.join([''.join([('ILoveYangCheng'[(x-y)%len('ILoveYangCheng')] if((x*0.05)**2+(y*0.1)**2-1)**3-(x*0.05)**2*(y*0.1)**3<=0 else' ') for x in range(-30,30)]) for y in range(13,-12,-1)]))
oveYangCh gChengILo
gILoveYangChengIL YangChengILoveYan
ngILoveYangChengILoveYangChengILoveYangCh
ngILoveYangChengILoveYangChengILoveYangChen
ngILoveYangChengILoveYangChengILoveYangChengI
gILoveYangChengILoveYangChengILoveYangChengIL
ILoveYangChengILoveYangChengILoveYangChengILo
LoveYangChengILoveYangChengILoveYangChengILov
oveYangChengILoveYangChengILoveYangChengILove
veYangChengILoveYangChengILoveYangChengILoveY
YangChengILoveYangChengILoveYangChengILoveY
ngChengILoveYangChengILoveYangChengILoveY
gChengILoveYangChengILoveYangChengILoveYa
engILoveYangChengILoveYangChengILoveY
gILoveYangChengILoveYangChengILoveY
LoveYangChengILoveYangChengILoveY
eYangChengILoveYangChengILove
ngChengILoveYangChengILov
hengILoveYangChengILo
ILoveYangChengI
eYangChen
gCh
h
>>>
网上流传了很多类似这种“一行代码画爱心”的文章,但大多数都没作深入研究,有的甚至是收费栏目中还有改错代码的,比如 %‘字串实际长度’ 都直接‘%8’。下面,我来对此代码作点解析,告诉小白们爱心到底是怎么画出来的?
探究一:去掉字符串,全部用'.'代替
>>> print('\n'.join([''.join([('.' if((x*0.05)**2+(y*0.1)**2-1)**3-(x*0.05)**2*(y*0.1)**3<=0 else' ') for x in range(-30,30)]) for y in range(13,-12,-1)]))
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>>>
探究二:其实就是心形线的函数式在起作用,换成直线看效果
>>> print('\n'.join([''.join([('.' if y==x+1 else' ') for x in range(-30,30)]) for y in range(15,-15,-1)]))
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>>> # 直线方程 y = x + 1
直线方程 y = x+1 斜率1的倾角看上去不是45度,是因为x,y的长度比不是1:1。
方程式换成不等式 y > = x + 1 图像就成为一个区域,换个抛物线试试效果:
>>> print('\n'.join([''.join([('.' if y>=0.035*x**2-12 else' ') for x in range(-30,30)]) for y in range(15,-15,-1)]))
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>>> 抛物线内部区域: y >= 0.035 x2 - 12
探究三:换个心形方程式
网上随便搜索了一张心形方程式的图片:

方程x,y的取值范围有点小,可以先放大10倍:?0.01*x*x+(0.1*y-pow(0.01*x*x,1/3))**2-1=0
由于纵横比不为1,再适当调整各个系数的大小;还有我们的坐标系是整数点,想和直线方程一样显示边界点不太现实,所以只能以?f(x,y)<=0的形式显示图形区域。若<=换成>=,则相当于图章的阳刻和阴刻的区别。
>>> print('\n'.join([''.join([('HannYang'[(x+y+78)%8] if 0.003*x*x+(0.075*y-pow(0.0015*x*x,1/3))**2-0.6<=0 else' ') for x in range(-30,30)]) for y in range(15,-12,-1)]))
annYang annYang
gHannYangH ngHannYang
angHannYangH YangHannYang
YangHannYangH nnYangHannYan
nnYangHannYangHannYangHannYan
annYangHannYangHannYangHannYa
HannYangHannYangHannYangHannY
HannYangHannYangHannYangHan
gHannYangHannYangHannYangHa
ngHannYangHannYangHannYangH
ngHannYangHannYangHannYan
angHannYangHannYangHannYa
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>>> #字符串的索引号表达式也可以修改:str[(表达式)&len(str)]
print('\n'.join([''.join([('HannYang'[x%8-2] if 0.003*x*x+(0.075*y-pow(0.0015*x*x,1/3))**2-0.6>=0 else' ') for x in range(-30,30)]) for y in range(16,-12,-1)]))
HannYangHannYangHannYangHannYangHannYangHannYangHannYangHann
HannYangHannYangHannYangHannYangHannYangHannYangHannYangHann
HannYangHannYangHan nnYangHan nnYangHannYangHann
HannYangHannYangHa YangH nYangHannYangHann
HannYangHannYangH ang YangHannYangHann
HannYangHannYangH n YangHannYangHann
HannYangHannYang angHannYangHann
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HannYangHannYang angHannYangHann
HannYangHannYangH YangHannYangHann
HannYangHannYangH YangHannYangHann
HannYangHannYangH YangHannYangHann
HannYangHannYangHa nYangHannYangHann
HannYangHannYangHa nYangHannYangHann
HannYangHannYangHan nnYangHannYangHann
HannYangHannYangHann annYangHannYangHann
HannYangHannYangHann annYangHannYangHann
HannYangHannYangHannY HannYangHannYangHann
HannYangHannYangHannYa gHannYangHannYangHann
HannYangHannYangHannYan ngHannYangHannYangHann
HannYangHannYangHannYang angHannYangHannYangHann
HannYangHannYangHannYangH YangHannYangHannYangHann
HannYangHannYangHannYangHa nYangHannYangHannYangHann
HannYangHannYangHannYangHann annYangHannYangHannYangHann
HannYangHannYangHannYangHannY HannYangHannYangHannYangHann
HannYangHannYangHannYangHannYa gHannYangHannYangHannYangHann
HannYangHannYangHannYangHannYa gHannYangHannYangHannYangHann
HannYangHannYangHannYangHannYangHannYangHannYangHannYangHann
>>>
探究四:字符串换成中文汉字 需要把?else 后的填充空格换成2个半角空格或1个全角空格
>>> print('\n'.join([''.join([('我爱杨程'[(x-y)%4-3] if((x*0.08)**2+(y*0.1)**2-1)**3-(x*0.08)**2*(y*0.1)**3<=0 else ' ') for x in range(-20,20)]) for y in range(13,-12,-1)]))
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程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱
我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨
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程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨程
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杨程我爱杨程我爱杨程我爱杨程我爱杨程我爱杨
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>>>
如此,掌握了原理,就去网上找各种方程式来创作你自己的图形吧!大胆去向心爱的人表白吧!!
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