David- I end up with a Sponge in the center of my sponge: a Beavis and Butthead tattoo scenario. Going to check my formula.
I'm guessing you've got 21 transforms instead of 20 i.e. you've left in the central cube
It's 20 transforms (checked it: no central checkpoint (0,0,0), 20 transforms). I could set it up to remove the central cube (if the pixel values are within the central cube, set my bail comparison variable to max_bailout+1) but that seems like cheating (it isn't, but if you got it with the 20 transforms, I should too). Haven't found a nice bail point either.
It's a whole recursive set within the set, within the set, within the set, within the set (which technically makes it something other than a Menger Sponge)...
Doyyyy <bouncing sound effect added> : in mid message, I decided to check my initial radius check, which was set too low. Incidentally, if you decide you want an infinitely recursive Menger Variant, set your initial radius checkpoint low.
If you haven't done it yet, setting bailout up this way (instead of magnitude bailout check) gives you a much crisper sponge:
if ( |sx|>|sy| && |sx|>|sz| ) // sx, sy, and sz values are the names of my x, y, and z post-calculation values
{ bail=|sx|;} // I check to see which has the highest absolute value, and set bail on that
else if (|sy|>|sz|) // if I haven't hit my iteration limit
{ bail= |sy|; }
else
{ bail= |sz|; } // the whole concept is: if one of the values is outside of the sponge, bail out man!
with your code: until bail>bailout instead of until |z| >bailout
With a sponge of "pseudo-volume" of 3^3 (3 is side length), I set bail check variable to 1.5 (side length/2) for a perfect Menger sponge:
<-- and I was all like "I M G !!!! /I M G"
February 18, 2014, 07:02:53 PM
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