晋太元中,武陵人捕鱼为业。缘溪行,忘路之远近。忽逢桃花林,夹岸数百步,中无杂树,芳草鲜美,落英缤纷。渔人甚异之,复前行,欲穷其林。 林尽水源,便得一山,山有小口,仿佛若有光。便舍船,从口入。初极狭,才通人。复行数十步,豁然开朗。土地平旷,屋舍俨然,有良田、美池、桑竹之属。阡陌交通,鸡犬相闻。其中往来种作,男女衣着,悉如外人。黄发垂髫,并怡然自乐。 见渔人,乃大惊,问所从来。具答之。便要还家,设酒杀鸡作食。村中闻有此人,咸来问讯。自云先世避秦时乱,率妻子邑人来此绝境,不复出焉,遂与外人间隔。问今是何世,乃不知有汉,无论魏晋。此人一一为具言所闻,皆叹惋。余人各复延至其家,皆出酒食。停数日,辞去。此中人语云:“不足为外人道也。”(间隔 一作:隔绝) 既出,得其船,便扶向路,处处志之。及郡下,诣太守,说如此。太守即遣人随其往,寻向所志,遂迷,不复得路。 南阳刘子骥,高尚士也,闻之,欣然规往。未果,寻病终。后遂无问津者。
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load ('def.lefty');
definit ();
#
# initialize window data
#
canvas = defcanvas;
wrect = [0 = ['x' = 0; 'y' = 0;]; 1 = ['x' = 400; 'y' = 500;];];
setwidgetattr (canvas, ['window' = wrect;]);
sq = function (x) {
return x * x;
};
# data structures
#
length = 300;
center = ['x' = 200; 'y' = 250;];
radius = 2 * length / sqrt (12);
fractalangle = 0;
maxlevel = 2;
# drawing functions
#
# draw a Koch curve (a ``snowflake'' fractal)
#
# start with a triangle and keep replacing edges
# with the construct: _/\_
# until the recursion level reaches 'maxlevel'
#
fractal = function (level, length, angle) {
local nlength, newpenpos;
if (level >= maxlevel) {
newpenpos.x = penpos.x + length * cos (angle);
newpenpos.y = penpos.y + length * sin (angle);
line (canvas, null, penpos, newpenpos, ['color' = 1;]);
penpos = newpenpos;
return;
}
nlength = length / 3;
fractal (level + 1, nlength, angle);
fractal (level + 1, nlength, angle + 60);
fractal (level + 1, nlength, angle - 60);
fractal (level + 1, nlength, angle);
};
drawfractal = function () {
clear (canvas);
setpick (canvas, center, wrect);
penpos = [
'x' = center.x + cos (fractalangle + 210) * radius;
'y' = center.y + sin (fractalangle + 210) * radius;
];
fractal (0, length, fractalangle + 60);
fractal (0, length, fractalangle - 60);
fractal (0, length, fractalangle - 180);
remove ('penpos');
};
# editing functions
#
# transform the fractal.
#
# map point 'prevpoint' to point 'currpoint'
# with respect to the center of the fractal.
#
transformfractal = function (prevpoint, currpoint) {
local prevtan, currtan, prevradius, currradius;
prevtan = atan (prevpoint.y - center.y, prevpoint.x - center.x);
currtan = atan (currpoint.y - center.y, currpoint.x - center.x);
fractalangle = fractalangle + (currtan - prevtan);
prevradius = sqrt (
sq (prevpoint.y - center.y) + sq (prevpoint.x - center.x)
);
currradius = sqrt (
sq (currpoint.y - center.y) + sq (currpoint.x - center.x)
);
radius = radius / prevradius * currradius;
length = radius / 2 * sqrt (12);
};
# user interface functions
#
# bind changes to the fractal to user actions
#
leftup = function (data) {
transformfractal (data.ppos, data.pos);
drawfractal ();
};
dops = function () {
local s;
s = ['x' = 8 * 300; 'y' = 10.5 * 300;];
canvas = createwidget (-1, ['type' = 'ps'; 'size' = s;]);
setwidgetattr (canvas, ['window' = wrect;]);
drawfractal ();
destroywidget (canvas);
canvas=defcanvas;
};
transformfractal (['x' = 0; 'y' = 0;], ['x' = 0; 'y' = 0;]);
drawfractal ();