Covering the Ark and the Rule of the Sukkah Roof

Yalkut Shimoni on Torah 417:4

"And you shall screen the ark" (Exodus 40:3). Our Rabbis taught: its shade must come from the covering [sekhakh] and not from the walls. Rabbi Yoshiyah says: even from the walls. What is the reason of Rabbi Yoshiyah? As it is written, "And you shall screen the ark with the curtain" (Exodus 40:3). The curtain is a partition, as it is written, "and the curtain shall divide for you" (Exodus 26:33), and yet the Merciful One called it a covering [sekhakh]; this shows that we require a partition that itself functions as covering. And the Rabbis hold that this which the Merciful One said is that he should bend it over a little, so that it appears like a covering.

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