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blob62 |
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The blob in all its glory:
Twirl with your mouse
An an odd little shape that is a little less symmetric than it looks at first. It was made by an algebraic combination of two ellipsoids.
| Click on the snapshot to download the blob's stl file. |
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# name of the blob
project = "blob62";
# function at origin must be <0, and >0 far enough away. w=0 defines the surface
function w = f(x2,y2,z2,c,r) # three lobed toroid with low profile bumps and flat top
x = (x2-c(1))/r(1);
y = (y2-c(2))/r(2);
z = (z2-c(3))/r(3);
w = 0.111111.*((-0.25E1)+0.1E1.*x.^4+0.2E2.*y+(-0.5E1).*x.^2.*y+ ...
0.2E1.*x.^2.*y.^2+(-0.5E1).*y.^3+0.1E1.*y.^4+0.1375E2.*z.^2+ ...
0.45625E1.*x.^2.*z.^2+(-0.2E2).*y.*z.^2+0.45625E1.*y.^2.*z.^2+ ...
0.225E1.*z.^4);
endfunction;
# this is for distorting the grid before applying the function
# note that the undistorted grid will be used to make the stl file
# just set it to x3=x; y3=y; z3=z; if no warping is needed.
function [x3,y3,z3]= prewarp(x,y,z)
R =300; # center of sphere is at (R+X0,0,0) with radius R (passing through (X0,0,0) )
X0 = 60; # this means that parts of the blob near [X0,0,0] will stay near that point.
# calculate the inverted coordinate of each point in the 3D grid (x3,y3,z3)
x2 = x-R-X0; y2=y; z2 = z; # intermediate values
r2 = R*R./(x2.^2+y2.^2+z2.^2);
x3 = x2.*r2+R+X0; y3 = y2.*r2; z3 = z2.*r2;
endfunction;
c_outer = [0,0,0];
r_outer = [55,55,55]; # size
xmin = 0;
xmax = 250;
source("../octave/func2stl_v01.m"); # do all the calculations
GNU Octave