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Halacha 1
[There are requirements regarding] the s'chach of a sukkah, and not all substances are acceptable [to be used for this purpose]. For s'chach, we may use only a substance which grows from the ground, has been detached from the ground, is not subject to contracting ritual impurity, does not have an unpleasant odor, and does not have elements which fall off and wither constantly.
Halacha 2
When a person uses as s'chach a substance which does not grow from the ground, is still connected to the ground, or is subject to contracting ritual impurity, [the sukkah] is not acceptable.
However, if he transgressed and used as s'chach a substance which has elements which fall off and wither, or which possesses an unpleasant odor, it is kosher. [Our Sages] said only that one should not use these as s'chach lest one leave one's sukkah and depart. One must take care that the branches and leaves should not descend within ten handbreadths of the ground, so that one will not be uncomfortable when using the sukkah.
If one used metals, bones, or hides as s'chach, it is unacceptable because these do not grow from the ground. If one suspended vines and the like over it until they made a sukkah, it is unacceptable, because they were not uprooted [from the ground].
Should one use wooden utensils, mats that were made to lie on, and the like as s'chach, it is unacceptable, because they are subject to contracting ritual impurity. Similarly, using broken and worn out utensils as s'chach is unacceptable. Since these substances were subject to ritual impurity, [the latter law was instituted] lest one use broken pieces which have not yet attained a state of [unquestionable] purity.
Halacha 3
If one used foods as s'chach, it is unacceptable, because they are subject to contracting ritual impurity. [When one uses] branches from a fig tree which contain figs, runners from a grape vine which contain grapes, branches of a date palm which contain dates and the like, [the following rules apply:] We see - if the waste is more than the food; then we may use them as s'chach. If not, we may not use them as s'chach.
If one uses as s'chach vegetables which, when they dry up, will wither, and none of their substance will remain, even though they are now fresh, their place is considered to be vacant, as though they did not exist.
Halacha 4
If one used as s'chach branches of flax which were not crushed and combed, they are kosher, because they are still considered to be wood. After the flax has been crushed and combed, it may not be used as s'chach, since its form has changed and it is as though it is no longer a product of the earth.
One may use ropes made from palm bast or hemp and the like as s'chach, since their original form is unchanged and ropes are not considered to be utensils.
Halacha 5
[The following rules apply] when one uses arrows as s'chach. Those which are "male" are kosher; those which are "female" are not acceptable. Even though [ultimately,] they will be filled with iron, they have a receptacle. Hence, they are susceptible to contracting ritual impurity, as are all utensils with receptacles.
Halacha 6
A mat of reeds, of raw rubber, or of hemp - if it is small, we may assume that it was made to lie on. Therefore, it may not be used for s'chach unless it was [explicitly] made for this purpose.
If it is large, we may assume that it was made for shade; therefore, it may be used for s'chach unless it was [explicitly] made to lie on.
If it has a border, even a large mat may not be used as s'chach, because it is considered to be a receptacle. Even if the border were removed, it may not be used as s'chach, because it would be considered to be a broken utensil.
Halacha 7
Boards which are less than four handbreadths wide may be used for s'chach even though they have been planed. If they are more than four handbreadths wide, they should not be used as s'chach, even though they have not been planed. This is a decree [instituted] lest one sit under a roof and regard it as a sukkah.
If one placed a board which was more than four handbreadths wide over [a sukkah, the sukkah] is kosher. However, one should not sleep under the board. A person who did sleep under the board has not fulfilled his obligation.
There were boards that were four handbreadths wide, but less than four handbreadths thick. A person turned them on their side so that they would not be four handbreadths wide to use them as s'chach. This is not acceptable, because a board is unacceptable for use as s'chach whether one uses its width or thickness.
Halacha 8
A roof which is not covered by a ceiling - i.e., the plaster and the stones - but rather has only boards fixed in place, is not acceptable, since they were not placed there for the purpose of a sukkah, but to be part of the house.
Therefore, if one lifted up the boards and removed the nails with the intent [that they serve] as a sukkah, it is kosher. [This applies provided] that each board is not four handbreadths wide.
Similarly, it is kosher if one removed a board from between two others and replaced it with kosher s'chach, with the intention [that it serve] as a sukkah.
Halacha 9
A sukkah that was made for any purpose whatsoever - even if it was not made for the purpose of [fulfilling] the mitzvah - if it was made according to law, it is kosher. However, it must be made for the purpose of shade. Examples of this are sukkot made for gentiles, sukkot made for animals, and the like.
In contrast, a sukkah that came about on its own accord is unacceptable, because it was not made for the purpose of shade. Similarly, when a person hollows out a place in a heap of produce and thus makes a sukkah, it is not considered to be a sukkah, because the produce was not piled there for this purpose. Accordingly, were one to create a space one handbreadth [high] and seven [handbreadths] in area for the purpose of a sukkah, and afterwards hollow it out till it reached ten [handbreadths], it is kosher, since its s'chach was placed for the purpose of shade.
Halacha 10
We may not use bundles of straw, bundles of wood or bundles of reeds as s'chach. This decree [was instituted] lest one place those bundles on one's roof to dry out, and then change one's mind and sit under them with the intent [that they serve as] a sukkah. The person did not place the s'chach there originally for the purpose of shade. Thus, it resembles a sukkah that came about on its own accord.
If one untied [the bundles], they are acceptable [for use as s'chach]. A bundle is considered to be no fewer than twenty five units.
Halacha 11
Small bundles that were tied together [to be sold] by number may be used as s'chach.
Similarly, if one cuts off the top of a date palm and the branches are bound to it, it may be used as s'chach, because elements that are bound naturally are not considered to be bundles. Furthermore, even if one tied the tops of the branches from one side, and they thus appear to be a single bundle with one of its two ends bound naturally and the other bound as a result of human activity, it may be used as s'chach. A single tree which is bound up is not considered to be a bundle, but rather a single piece of wood, since [the branches] are bound together naturally.
Similarly, any knot which is not strong enough to hold when carried is not considered a knot [and the resulting bundle may be used as s'chach].
Halacha 12
A person who constructs his sukkah under a tree is considered as though he built it within his home.
If one draped the leaves and branches of trees [over the sukkah], and then placed s'chach over them, and only afterwards detached them, [the following rules apply:]
If the amount of [kosher] s'chach exceeded [the branches], it is kosher. If the amount of s'chach which originally was kosher did not exceed [the branches], one must move them after detaching them, so that they will have been put in place for the purpose of a sukkah.
Halacha 13
If one mixed a substance which may be used for s'chach with a substance that may not be used for s'chach and used the two as s'chach, even though the quantity of kosher s'chach exceeds that of the substance which was not acceptable as s'chach, [the mixture] is not acceptable.
If one covered the sukkah with the two substances and kept them separate, [the following rules apply:] If there are more than three handbreadths of the substance which is not acceptable as s'chach in one place, whether in the middle of the sukkah or at its side, it is not acceptable.
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In contrast to the walls mentioned in the last halachah of the previous chapter...
[There are requirements regarding] the s'chach of a sukkah, and not all substances are acceptable [to be used for this purpose]. - Some of the requirements mentioned by the Rambam were established by Torah law, while others are Rabbinic ordinances, as explained below.
For s'chach, we may use only a substance which:
a) grows from the ground - i.e., is an agricultural product and is neither found naturally - e.g., metals - nor produced from animals nor manufactured synthetically;
b) has been detached from the ground - and is not still connected to its source of nurture;
c) is not subject to contracting ritual impurity - This excludes articles used as food and those that have been fashioned into utensils. These three requirements are alluded to by Deuteronomy 16:13: "Make the Sukkot holiday for yourselves for seven days, when you gather in from your grain and grapes..."
Sukkah 12a explains that the verse implies that the s'chach, the essential element of the sukkah, must resemble "the leftovers from the grain and grape harvest."
(The expression "alluded to" was used rather than "derived from" on the basis of the Rambam's commentary on the Mishnah, Sukkah 1:4. That expression implies that the concept cannot be derived from the verse per se. Rather, it was transmitted as a halachah l'Moshe miSinai, and the Biblical verse is merely an allusion.)
The Rambam gives examples of entities which are not acceptable as s'chach on the basis of these principles in the following halachah.
d) does not have an unpleasant odor - As implied by the following halachah, this and the following clause are Rabbinic decrees. S'chach with an unpleasant odor will not create an inviting holiday environment. Indeed, substances with an unpleasant odor should not be used for the sukkah's walls either.
e) and does not have elements which fall off and wither constantly - for a person will not be pleased to have portions of the s'chach falling into his food. The Mishnah Berurah 629:39 states that the prohibition applies to elements that fall off naturally. However, if they fall off only when subjected to wind, there is no difficulty in using them.