plot - Tupper's self referential formulae - in MATLAB? -
i trying plot tupper's formulae in matlab. apparently seems since 'k' such large value, matlab may not accept it.
any suggestions ?
you can use symbolic toolbox compute big integers.
here code whipped plot tupper expression, inspired in part this discussion on @ metafilter:
% use symbolic toolbox represent big integer k k = sym(['960939379918958884971672962127852754715004339660129306651505519271702802395266424689642842174350' ... '718121267153782770623355993237280874144307891325963941337723487857735749823926629715517173716995' ... '165232890538221612403238855866184013235585136048828693337902491454229288667081096184496091705183' ... '454067827731551705405381627380967602565625016981482083418783163849115590225610003652351370343874' ... '461848378737238198224849863465033159410054974700593138339226497249461751545728366702369745461014' ... '655997933798537483143786841806593422227898388722980000748404719']); [x,y] = meshgrid(0:1:106, 0:1:16); % evaluate tupper formula tupper = rem(floor(floor((y+k)/17) .* 2.^(-17*x - rem((y+k), 17))), 2); % convert symbolic matlab's native double precision tupper = double(tupper); % display it! image(fliplr((1-tupper)*255)); colormap gray axis equal title('tupper''s (not-so-)self-referential formula!'); set(gca, 'xtick', [], 'ytick', []);
and results:
note: there's not self-referential formula; choosing differential value of k
, make display other image of same size. lot more exciting if actual quine!
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