Danger Signal (1945) cast and crew credits, including actors, actresses, directors, writers and more. ĭanger Signal (1945) - Full Cast & Crew - IMDb. Danielle Cohn’s Post Danielle Cohn Innovation Leader, Board Member, Advisor, Entrepreneur - Making Waves in the Future of Community Living, Care and Travel 1d Report this post Report Report. That is what it looks like, the ends are no longer trapezoids but triangles.Danielle Cohn on LinkedIn: Greece Makes Hundreds of Beaches …. This makes sense if you are going for the tilting stripes later because they need a certain height to function properly, but as we ditched them, there is no benefit for us. Is that it, then? Wait, there is one last tweak: The parallel stripes regions do not extend as far as they could. Looks better, doesn't it? Numbers are also better at. But wait, the tilting stripes are clearly not optimal, be this because of my suboptimal implementation or because of principal finite size, no matter which, let's just get rid of them.Īnd fall back to the good old rectangle instead. However subtle the effect, in the end we are a few squares short of what we need at 999,467. Because it depends on the ratio of the space missing which equals 1 - the fractional part over the width of the compound which becomes more and more favorable with growing side length. This slope is the tilt of the parallel tilted stripes which depends on the fractional part of the side length and on the absolute size. This requires the height to change slowly, in other words the slope of the slanted side must be shallow. For it to be better than,say just regular grid arrangement leaving gaps at the diagonal edge the tilt range must be small. This can be understood as follows: The progressive tilting is not something we want, it is the least bad option. Looking at roughly the same area we can guess that the tilted stripes strategy suffers from finite size. Also, how to round asymptotic prescriptions to finite integers may make a slight difference. You can also see that my implementation is not optimized, for example, there is clearly space for a few more squares in the triangular cranny where the stripe pattern ends. We see that unit width stripes are used again but they are not parallel but sligthly tilt as the walls close in. Let us zoom in one more time to study the non rectangular components. Every square counts!Īt larger maginification we see that large parts of these are also covered in the "naive" way, using on grid rectangles of various dimensions. I'm emphasizing these numbers to drive home the point that in the end there is very little slack. Still, the tricky bit is squeezing out the missing permille from the four leftover trapezoid areas. Together, the three big structures account for 99.9% of the total. 9,943 in the horizontal structure at the top and 9,133 in the vertical structure at the right. The stripes are therefore slightly tilted and stacked. Zooming in at the top right corner we see that the two next largest structures are composed of tilted stripes each wide one square and long 812 squares which is just above the width left (811.25). Let's zoom in a bit for the next big chunk: The bulk-84,437,721-squares are arranged in the standard pattern in the large square. For this side length a straight forward non optimized implementation gives me 100,000,395 squares. Let us walk through the construction for 10,000.25. This is not a given because it is an asmptotic result and 1000.25 is a rather small number considering the construction works with the 11th root of that. Approach: Let's see whether we can get the construction proposed by everybody's favorite Hungarian frequent traveler and alluded to in several comments to work.
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