JSL 制作了此 4K 60 FPS 动画的图像。
扭曲的链接相当简单。 现在我正在考虑辫子。 有一个团体一群喜欢扎辫子的数学家。 我学到的东西已经足够危险了。 这是一个用来画五股辫子的小 JSL。 我相信下图中的所有三种变体都是相等的。
drawpattern = Function( {pattern, gb},
channelToYPos = ["A" => 1, "B" => 2, "C" => 3, "D" => 4, "E" => 5]; // static
channelToStrandID = ["A" => 1, "B" => 2, "C" => 3, "D" => 4, "E" => 5]; // braiding swaps these around
strandIDToColor = Heat Color( (1 :: 5) / 6, "jet" );
erasecolor = gb[Framebox( 1 )] << getbackgroundcolor;
xleft = 1;
xstep = 1 / N Items( pattern );
circlesize = .20;
pensize = 15;
For( x = 1, x <= 10, x += 1,
For Each( {row}, pattern,
notfound = Associative Array( channelToYPos << getkeys );
For Each( {swapchans}, row,
channel_over = Substr( swapchans, 1, 1 );
channel_under = Substr( swapchans, 2, 1 );
// get Y positions of the two adjacent channels that will swap strands...
channel_over_ypos = channelToYPos[channel_over];
channel_under_ypos = channelToYPos[channel_under];
// get the strand ids currently in those channels
channel_over_StrandID = channelToStrandID[channel_over];
channel_under_StrandID = channelToStrandID[channel_under];
// get the colors of the strand ids
channel_over_Color = strandIDToColor[channel_over_StrandID];
channel_under_Color = strandIDToColor[channel_under_StrandID];
// render this swap
Pen Size( pensize );
Pen Color( channel_under_Color );
Line( {xleft, channel_under_ypos}, {xleft + xstep, channel_over_ypos} ); // draw under first
Fill Color( channel_under_Color );
Circle( {xleft, channel_under_ypos}, circlesize, "FILL" );
Pen Size( pensize * 2 - 1 );// erase a wider line before drawing to make the
Pen Color( erasecolor ); // overpass effect...
Line( {xleft, channel_over_ypos}, {xleft + xstep, channel_under_ypos} ); // draw over last, erase wider
Pen Size( pensize );
Pen Color( channel_over_Color );
Line( {xleft, channel_over_ypos}, {xleft + xstep, channel_under_ypos} ); // draw over last, within erased
Fill Color( channel_over_Color );
Circle( {xleft, channel_over_ypos}, circlesize, "FILL" );
// swap
channelToStrandID[channel_over] = channel_under_StrandID;
channelToStrandID[channel_under] = channel_over_StrandID;
notfound[channel_over] = 0;
notfound[channel_under] = 0;
);
For Each( {chan}, notfound,
ypos = channelToYPos[chan];
strandID = channelToStrandID[chan];
color = strandIDToColor[strandID];
Pen Size( pensize );
Pen Color( color );
Line( {xleft, ypos}, {xleft + xstep, ypos} ); // draw uncrossed strand
Fill Color( color );
Circle( {xleft, ypos}, circlesize, "FILL" );
);
xleft += xstep;
)
);
// endcaps, just for pretty
For Each( {chan, ypos}, channelToYPos,
strandID = channelToStrandID[chan];
color = strandIDToColor[strandID];
Fill Color( color );
Circle( {xleft, ypos}, circlesize, "FILL" );
);
);
New Window( "braidtest",
V List Box(
window:gb1 = Graph Box(
X Scale( 0, 12 ),
Y Scale( 0, 6 ),
framesize( 1800, 300 ),
xname( "" ),
yname( "" ),
suppressaxes,
<<BACKGROUNDCOLOR></BACKGROUNDCOLOR>
JSL 正在使用渠道A、B、C、D、E 指水平直行，股1, 2, 3, 4, 5 指的是在通道之间来回穿梭的五根彩色弦，穿过另一根弦的上方/下方。 这三个变体由一个模式定义；中间的一个是</CODE></P>
<PRE><CODE class=" language-jsl">drawpattern( {{"CB"}, {"AB", "ED"}, {"CD"}}, window:gb2 );
这意味着通道 C 和 B 交换链，来自 C 的链越过来自 B 的链。 然后，通道 A 通过 B 上方，同时通道 E 通过 D 上方。最后，交换 C 和 D，再次与上方的 C 交换。
Colorful braids. The top one is smoothest.五颜六色的辫子。 最上面那一层是最光滑的。
如果您运行附加的代码，请将 AntiAlias = 4 更改为 AntiAlias = 1 以加快运行速度，直到您需要高质量的图像。
