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<DIV>I imagine that the question I will describe below is probably black letter
law (in halacha) just I am not aware of what it is. The clear halacha that
I am aware of is that of 3 X 3 tephachim of air would pasul a succah ketana (7 X
7) but in a succah gedola the succah would be kosher but one should not sit
beneath the open air. Similar halacha for 4 X 4 tephachim of sechach posul.
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<DIV>My question relates to how we calculate (mathematically integrate) the
density of the sechach for the law relating to the pesool of chamsa meruba
mitsilsa. So for example to keep it simple without gradual changes if we had a
succah that was 8 tephachim square, but had the sechach density different in the
four (4 X 4)quadrants such that they were alternating from 80% shade in one
quadrant, and only 40% shade in the next and so on. Or even better if three of
the quadrants were at 80% shade but the remaining quadrant was only 40% shade
would the succah be kosher? Would the single quadrant in the last case be
treated as sechach pasul of 4 X 4 or would we integrate over the entire succah
(8 X 8) thus making the entire succah tsilsa meruba michamsa? What if the last
square of 40 % was not 4 X 4 but only 3.5 X 3.5 tephachim? (Are we treating the
inadequate quantity of sechach kosher as though it were sechach posul?) Thus it
would not pasul the succah with less than 4 X 4? </DIV>
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<DIV>In general over how small an area are we concerned with tsilsa meruba
mechamsa? For example if you have a succah gedola with alternating square
of 2.5 tephachim square of air, with densely covered (say 90%) adjacent
rectangles say of 2.5 X 2.6 - would that be kosher? What if in the same
dimensions but different densities we put say 20% density instead of just air in
the 2.5 squares and just 51% cover in the 2.5 X 2.6 rectangles – what
then?</DIV>
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<DIV>Kol Tuv veChag Sameach</DIV>
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<DIV>Chaim Manaster</DIV>
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