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4Â¥: Originally posted by ÍëÍë¶ù2954 at 2016-01-28 09:14:49
ºÃÐÄÈËÄúºÃ£¬ÎÒ¿´ÁËÄúµÄ³ÌÐòÊÇ¿ÉÐеģ¬µ«ÊÇÎÒÏëҪͨ¹ý±È½ÏµÚ i ¸öÇòºÍÇ°ÃæÉú³ÉµÄ (i-1)µÄÇò°ë¾¶ºÍÓëÇòÐľàÀëµÄ´óСÀ´±ÜÃâÇòÌåÖ®¼äµÄÖغϣ¬ÔÚ×ÜÌå»ýСÓÚ±ÈÈç v µÄÇé¿öÏ£¬ÓÉÓÚpositionÖ»ÊÇÈÎÒâµÄ1*3Êý×飬²¢²»ÄÜ´æ´¢ ...

function spheres
clear
clc

n = 1000;
v = 0.5; % ×ÜÌå»ý
VSUM = 0;
Position = zeros( n, 3 ); % Ô¤Éè1000¸öÔ²ÇòÇòÐÄ×ø±ê
R = zeros( n, 1 ); % Ô¤Éè1000¸öÔ²Çò°ë¾¶
i = 1;
m = 1;
myflag = false;

while ( VSUM < v )
   
    m = m +1; % while Ñ­»·¼ÆÊý
   
    r = rand( 1 ) / 5; % Çò°ë¾¶
    position = rand( 1, 3 );  % ÇòÐÄ×ø±ê

    for k = 1 : i % ÅжÏÈÎÒâÇòÐľàÀëÓëÏàÓ¦Çò°ë¾¶ºÍ´óС
        D = sqrt( ( position(1) - Position( k, 1 ) ) ^ 2 + ( position(2) - Position( k, 2 ) ) ^ 2 + ( position(3) - Position( k, 3 ) ) ^ 2);
        Rr = r + R( k );
        if D < Rr % Èç¹ûÈÎÒâÁ½Çò°ë¾¶ºÍ´óÓÚÏàÓ¦µÄÇòÐľàÀë
            myflag = true; % É趨¼ÌÐøÑ°ÏÂÒ»¸öÇò°ë¾¶ºÍÇòÐĵıê¼Ç
            break; % Ìø³öforÑ­»·
        end
    end
   
    if myflag == true
        myflag = false;
        continue % ½øÐÐÏÂÒ»ÂÖwhileÑ­»·
    end
   
    Vtemp = VSUM + 4 * pi * r .^3 / 3;
    if Vtemp > v % ±È½Ï×ÜÌå»ýÓëÉ趨Ìå»ý´óС£¬ÕâÀïÐèÒªÌÖÂÛ£¨ÓпÉÄÜÕâ´ÎwhileÑ­»·ÖÐËæ»úÉú³ÉµÄ°ë¾¶½Ï´ó£¬¿ÉÒÔÉ趨Ìõ¼þ£©
        break
    end
    VSUM = VSUM + 4 * pi * r .^3 / 3;
    color_value = rand( 1, 3 ); % ÑÕÉ«
    [ x, y, z ] = unitsphere;
    x =  r * x + position( 1 );
    y =  r * y + position( 2 );
    z =  r * z + position( 3 );
    h = surf( x, y, z);
    set( h, 'EdgeColor', 'none', ...
         'FaceColor', color_value  );
     hold on
         
     Position( i, : ) =  position; % ¼Ç¼ÇòÐÄ×ø±ê
     R( i ) = r; % ¼Ç¼Çò°ë¾¶
     i = i + 1;

    if ( i > n ) || ( m > 10000) % µ±ÇòÊýÄ¿´ïÉ趨ÉÏÏÞ»òwhileÑ­»·´ïµ½ÉÏÏÞ£¬Í˳öwhileÑ­»·
        break
    end
end
axis equal

i
m
VSUM

function [ x, y, z ] = unitsphere

r = 1; % µ¥Î»Ô²
n = 20;

theta = ( -n : 2 : n ) / n * pi;
phi = ( -n : 2 : n )' / n * pi / 2;

cosphi = cos( phi );
cosphi( 1 ) = 0;
cosphi( n + 1 ) = 0;
sintheta = sin( theta );
sintheta( 1 ) = 0;
sintheta( n + 1 ) = 0;

x = r * cosphi * cos( theta );
y = r * cosphi * sintheta;
z = r * sin( phi ) * ones( 1, n + 1 );

function spheres

n = 100;
r = rand( 1, n ) / 10;

for i = 1 : n
    color_value = rand( 1, 3 ); % ÑÕÉ«
    position = rand( 1, 3 );  % ÇòÐÄ×ø±ê
     [ x, y, z ] = unitsphere;
     
     x =  r( i ) * x + position( 1 );
     y =  r( i ) * y + position( 2 );
     z =  r( i ) * z + position( 3 );
     
     h = surf( x, y, z);
     set( h, 'EdgeColor', 'none', ...
         'FaceColor', color_value  );
     hold on
end
axis equal

V = 4 * pi * r .^3 / 3;
VSUM = sum( V )

function [ x, y, z ] = unitsphere

r = 1; % µ¥Î»Ô²
n = 20;

theta = ( -n : 2 : n ) / n * pi;
phi = ( -n : 2 : n )' / n * pi / 2;

cosphi = cos( phi );
cosphi( 1 ) = 0;
cosphi( n + 1 ) = 0;
sintheta = sin( theta );
sintheta( 1 ) = 0;
sintheta( n + 1 ) = 0;

x = r * cosphi * cos( theta );
y = r * cosphi * sintheta;
z = r * sin( phi ) * ones( 1, n + 1 );

3Â¥: Originally posted by xiegangmai at 2016-01-27 16:41:01
¼òµ¥Ð´ÁËÏ´úÂ룬¥Ö÷²Î¿¼²Î¿¼¡£

function spheres

n = 100;
r = rand( 1, n ) / 10;

for i = 1 : n
    color_value = rand( 1, 3 ); % ÑÕÉ«
    position = rand( 1, 3 );  % ÇòÐÄ×ø±ê
      = unit ...