Rashi #1: Refer to 15:39:2:1.

Rashi #2: Because, like Shabbos, ¹ the Mitzvah of Tzitzis ² is compared to the whole Torah, as Pasuk 40 indicates.

Da'as Zekenim and Rosh (both in Pasuk 32): When the Mekoshesh desecrated Shabbos, Moshe said to Hashem 'it says about Tefilin "Lema'an Tih'yeh Toras Hashem be'Ficha" (Sh'mos 13:9) - yet You commanded us not to wear them on Shabbos. Had the Mekoshesh worn them, he would have remembered ³ and not desecrated Shabbos!' To which Hashem replied 'I will establish another Mitzvah like Tefilin, to remind the people of the Mitzvos, and it will apply even on Shabbos' - the Mitzvah of Tzitzis!

Hadar Zekenim #1 (in Pasuk 32): This teaches that when a person dies, he becomes free (exempt) from Mitzvos. ⁴

Hadar Zekenim #2 (in Pasuk 32, citing a Midrash): To teach us that if someone walks four Amos without Tzitzis, it is as if he gathered wood on Shabbos.

Menachos, 42a: They preclude Nochrim are not eligible to attach the Tzitzis to the garment of a Yisrael. ¹

Hagahos Maimoni, Hilchos Tzitzis, 1:12: They preclude women from making Tzitzis. ²

R. Chaim Paltiel, Malbim (citing Hagahos Maimoniyos): They exempt women from the Mitzvah of Tzitzis. ³

R. Bachye: It implies an obligation to make Tzitzis afresh, and not with threads that are already sticking out of the garment (?Ta?aseh ve?Lo min he?Asuy?).

Sukah, 9a: To teach us that if someone steals threads ¹ and makes Tzitzis out of them they are Pasul.

R. Bachye (citing the Tanchuma): Hashem gave Torah to Yisrael in order to pass on to them a portion in Olam ha?Ba. ¹ There is nothing that a person does in connection with wich Hashem did not issue a Mitzvah ? because the Mitzvos are a source of life. ² When a person reaps, sows and winnows, kneads and eats, shears and eats, when a woman gives birth and when she gives birth to a boy, when he Shechts an animal, or a bird or a beast, takes eggs from a birds? nest, plants trees, buries his dead, whether he shaves his hair, builds a house or gates and when he covers himself with his Tallis, where the Torah writes ?Ve?asu lahem Tzitzis?. ³

Rashi #1, R. Bachye #1 and Rashbam: "Tzitzis means ('a group of ? Rashbam [four ? R. Bachye]) threads' (and they are called Taitzis because they are similar to strands of hair on the head - R. Bachye). ^{1 2}

Rashi #2 and R. Bachye #2: It is like "Meitzitz min ha'Charakim" (Shir ha'Shirim 2:9), which is an expression of seeing ³ (a warning that, when a person sins, the Kisei ha?Kavod, which resembles T?cheiles, ⁴ sees him ? R.,Bachye).

Rashi #3 (in Yirmiyah, 48:9): Anything that hangs and that protrudes from a person or from an animal is called "Tzitz".

Menachos, 42a: "Tzitzis" implies that, like a branch that protrudes from the tree, the threads must protrude beyond the corner of the garment ⁵ and that they must be separated, ⁶ like the strands on a Nochri's head.

Targum Yonasan: Tzitzis are woolen threads that are made for the sake of the Mitzvah - not threads that one cuts off a garment with scissors, not from balls of wool and not threads that hang loose from the garment after it it has been woven. ⁷

R. Bachye: By threading four threads through a hole in the garment and doubling it to form eight threads; within three finger-breadths of the edge of the garment, but not less than the thickness of the middle joint of the thumb from it. One then winds one of the eight threads round the other seven threads up to a third of the way. ¹

Targum Yonasan: It means that they should hang - with five knots ² - from the four corners of the garment within three finger-breadths of the edge of the garment.

R. Bachye: Initially ¹ they must be at least four finger-breadths long.

Menachos, 41b: "Tzitzis" implies any size - however long, and if they tear, however short. ²

Rashi #1: Refer to 15:39:1:1.

Rashi #2 (on Pasuk 41, citing R. Moshe ha'Darshan) and R. Bachye: The eight strands correspond to the eight days from Yetzi'as Mitzrayim until singing the Shirah at the Yam-Suf. ¹

R. Bachye #1: With reference to Techi?as ha?Meisim ? which Tzitzis symbolizes ? the five knots correspond to the five senses, the eight threads, to the Milah, which is performed on the eighth day and the five times four (twenty) to the ten fingers and the ten toes. ²

R. Bachye #2 and Ramban ³ (according to Kabalah): The thirty-two threads on the four corners hints at ?Kalah? ⁴ in Shir Hashirim, 4:5-12, which incorporates the thirty-two path of Chochmah, which the Pasuk mentions there ?ve?Re?ach Salmosayich ke?Re?ach Levanon? ? in Pasuk #11. ⁵

Ba'al ha'Turim: The five knots serve as a reminder to observe the five Books of the Torah, and the eight strands, not to sin with any of the eight limbs that cause a person to sin - the ears, the eyes, the mouth, the nose, the hands, the feet, the Ervah and the heart. ⁶

Da'as Zekenim (on Pasuk 38): The eight strands correspond to the eight things connected with the heart, ⁷ or the eight names of the heart. Also, the heart is a third of the way down person's body, so the first third of the strands are twined, and two thirds straight.

Rosh (on Pasuk 38): Combined, they correspond to the thirteen Midos of Rachamim. On all four corners, there are twenty knots and thirty-two strands, like the Gematriya of "Hashem Hashem" (the first two of the thirteen Midos of Rachamim).

Menachos, 42a: We learn via a Gezeirah Shavah 'Begadim' 'Begadim' from Nig'ei Begadim - in Tazi'z Vayikra, 13:47 - that here, and wherever the Torah writes 'Begadim' ¹ S'tam, it means garments of wool or linen - exclusively.

Chulin, 136a: It implies that a garment belonging to partners is subject to Tzitzis. ¹

Moshav Zekenim (citing R. Yehudah ha'Chasid): It implies that someone who wears many garments of four corners must put Tzitzis on all of them. ²

Rashi (on Pasuk 41, citing R. Moshe ha'Darshan): It corresponds to "va'Esa eschem al Kanfei Nesharim" - Yisro Sh'mos, 19:4, describing how Hashem took Yisrael out of Egypt miraculously. ¹

R. Bachye (citing Menachos, 39a #1): It implies that, when winding the one thread round the seven, one begins with the white thread ² - "ha'Kanaf" - 'Miyn ha'Kanaf'. ³

Menachos, 39b #2 (according to Rava): It implies ('Miyn ha'Kanaf') that the Tzitzis should be of the same material as the corner of the garment - silk on silk, cotton on cotton ⁴ - and "Tzemer u'Fishtim Yachdav" in Ki Seitzei Devarim, 22:11 - in connection ith Sha'atnez - teaches us that wool and linen Tzitzis may be aayyached to any garment.

Menachos, 42a: It teaches us that one should attach the Tzitzis horizontally to the garment, so that when they hang down, they touch the tip of the corner of the garment. ⁵

Specifically on to four corners ? not three and not five. ¹

Rashi (on Pasuk 41, citing R. Moshe ha'Darshan): Specifically on four corners, but not on three or five, ¹ corresponding to the four expressions of Ge'ulah ² - "Vehotzeisi, Vehitzalti, Vega'alti, Velakachti. ³

Menachos, 39b: The Pasuk in Ki Seitzei teaches us that woolen or linen Tzitzis are eligible to go on any garment, ¹ and the current Pasuk, that Tzitzis made of any other material must be of the same material as the corner of the garment.

Rashi and R. Bachye: It is a thread dyed with a dark-blue (or turquoise) colored dye that is obtained from [the blood of] the Chilazon fish ¹ (which comes-up from the (Salt ² ?R. Bachye) Sea once every seventy years - Rashi in Bava Metzi'a, 61b).

Yevamos, 4b: Based on the fact that "Sheish" - in connection with the Bigdei Kohen Gadol - is linen, "P'sil Techeiles" must be a woolen-thread. ³

Rashi (on Pasuk 41, citing R. Moshe ha'Darshan): It is to remind us of the killing of the firstborn Egyptians, ¹ which occurred at nighttime - and the color of Techeiles is similar to the color of the sky at the beginning of night.

Ramban #1 (on Pasuk 39, citing the Midrash of R. Nechunyah ben ha'Kanah): Techeiles corresponds to Hashem's Kisei ha'Kavod. ²

Ramban #2: Refer to 15:39:1:2 and note.

R. Bachye (citing the Rambam): One ¹ (the one which is mainly used to wind round the other seven). ^{2 3}

Bachye: Lavan without T?cheiles and T?cheiles without Lavan is Kasher. ¹

Rashi (citing Yevamos 5b) and Da'as Zekenim: It means that one must leave part of the threads straight (not twined).

Yevamos 5b: It means that one passes the [four] threads through the corner and folds them, turning the four bthreads into eight.

Moshav Zekenim #1: We do not exempt from both, since we learn from a Hekesh to be stringent but not lenient.

Moshav Zekenim #2: Some say that we Darshen "Bnei Yisrael", 've'Lo B'nos Yisrael'. ¹

Moshav Zekenim #3 (in Devarim 22:12, citing R. Avigdor): The Torah writes in Pasuk 40 "Tizkru ... es Kol Mitzvosai" - one who has all the Mitzvos. ²

Moshav Zekenim #4 (in Devarim 22:12): In Kidushin (34a-35a) we learn that women are exempt from Mitzvos Asei she'ha'Zeman Gerama. ³ Tosfos (in Yevamos 4a DH 'di'Chesiv') states that perhaps there is a Drashah to obligate them in Sha'atnez.

Rtzva: Since we can learn either one from the other, each one retains what is written by it - women are exempt from Tzitzis and subject to Sha'atnez.