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Let's say your entire succah is made from very large bamboo poles, which are eligible to be used for schach. You decide to make a true 3-sided pyramid, where you lay the poles at an angle making a 3-sided base, but all the poles meet at a point on top. Essentially, there is no flat "roof", as your walls, in a sense, form the roof, and, as said, everything is shcach. Is this OK?

  • IIRC, an extremely similar case is discussed in the mishna, but with two sloped walls and one straight one. – Ypnypn Sep 18 '15 at 18:35
  • According to the answer in judaism.stackexchange.com/questions/64010/… no. – sabbahillel Sep 20 '15 at 0:23
  • @sabbahillel how do you get that from that answer? – Daniel Sep 20 '15 at 1:54
  • @Daniel succah must have a flat roof and one must sit under that roof. The pointed roof you mention is an extreme case. – sabbahillel Sep 20 '15 at 11:46
  • @sabbahillel I never said the roof must be flat. In this question the walls are made of kosher skhakh. In that question they (presumably) are not. – Daniel Sep 20 '15 at 11:49
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The Mechaber in סימן תרלא - סכה שחמתה מרבה מצלתה ויתר דיני הסכך says that if there's no roof then it's invalid, unless there's a square-Tefach of [horizontal] roof, or that there's a Tefach of vertical walls between the ground and the slanted wall-roof:

The Remo however, permits such a Sukka, on condition that there's the minimal 7x7 Tefachim area at a height of 10 Tefachim.

He adds that if the entire wall is made of valid S'chach, one may even sleep under the walls - i.e. the part below 10 Tefachim high.

The entire Se'if says:

י: סֻכָּה שֶׁאֵין לָהּ גַּג, כְּגוֹן שֶׁהָיוּ רָאשֵׁי הַדְּפָנוֹת דְּבוּקוֹת זוֹ בְּזוֹ כְּמִין צְרִיף, אוֹ שֶׁסָמַךְ רֹאשׁ הַדֹּפֶן שֶׁל סֻכָּה לַכֹּתֶל, פְּסוּלָה; וְאִם הָיָה לָהּ גַּג, אֲפִלּוּ טֶפַח, אוֹ שֶׁהִגְבִּיהַּ הַדֹּפֶן הַסָמוּךְ לַכֹּתֶל מִן הַקַּרְקַע טֶפַח, הֲרֵי זוֹ כְּשֵׁרָה. הגה: וְיֵשׁ אוֹמְרִים שֶׁהַטֶּפַח לֹא תִּהְיֶה אֲוִיר, רַק מִן הַדֹּפֶן אוֹ הַסְּכָךְ (הָרֹא''שׁ בְּשֵׁם ר''י וְהרה''מ פ''ד) וְצָרִיךְ שֶׁיִּהְיֶה בָּהּ ז' טְפָחִים עַל ז' בְּגֹבַהּ י' טְפָחִים (טוּר). גַּם צָרִיךְ שֶׁיִּהְיוּ הַדְּפָנוֹת לְאַחַר שֶׁהֵם גְּבוֹהִים עֲשָׂרָה עֲשׂוּיוֹת מִדָּבָר שֶׁמְּסַכְּכִין בָּהֶם, דְּהָא הֵם הַסְּכָךְ (רַ''ן ספ''ק דְּסֻכָּה). וְאִם כָּל הַדְּפָנוֹת מִדָּבָר שֶׁמְּסַכְּכִין בָּהֶם, מֻתָּר לִישַׁן אֲפִלּוּ תַּחַת הַדְּפָנוֹת (ס''ח בְּפֵרוּשׁ רַבֵּנוּ יְרוּחָם נ''א נ''ח).‏

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    You have a typo in your first sentence. You say "permits" but quote the Mechaber that it is pasul and the Remo allows sleeping under the walls only if there is a minimum amount of space under the roof to make it a valid succa. – sabbahillel Sep 20 '15 at 11:52
  • @sabbahillel - I edited the answer - hopefully closer to the original, now. – Danny Schoemann Sep 20 '15 at 12:07
  • וְיֵשׁ אוֹמְרִים שֶׁהַטֶּפַח לֹא תִּהְיֶה אֲוִיר, רַק מִן הַדֹּפֶן אוֹ הַסְּכָךְ means that hte space between the walls and the kosher schach must be a tefach or less and not empty space. וְצָרִיךְ שֶׁיִּהְיֶה בָּהּ ז' טְפָחִים עַל ז' means that the kosher schach part (the flat roof) must be 7x7 – sabbahillel Sep 21 '15 at 5:10
  • @sabbahillel (1): "a tefach or less"??? You surely mean a tefach or MORE! As the mechaber wrote אֲפִלּוּ טֶפַח. And (2) "the flat roof must be 7x7" - I don't think so - if you add the next words בְּגֹבַהּ י' טְפָחִים then it reads like I wrote; at a height of 10, you need a 7x7 area. – Danny Schoemann Sep 21 '15 at 7:32

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