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דַּבֵּ֞ר אֶל־בְּנֵ֤י יִשְׂרָאֵל֙ וְאָמַרְתָּ֣ אֲלֵהֶ֔ם וְעָשׂ֨וּ לָהֶ֥ם צִיצִ֛ת עַל־כַּנְפֵ֥י בִגְדֵיהֶ֖ם לְדֹרֹתָ֑ם וְנָ֥תְנ֛וּ עַל־צִיצִ֥ת הַכָּנָ֖ף פְּתִ֥יל תְּכֵֽלֶת׃

Speak to the Israelite people and instruct them to make for themselves fringes on the corners of their garments throughout the ages; let them attach a cord of blue to the fringe at each corner.

פתיל תכלת. על הציצית. וטעם תכלת. בעבור שהוא כעין השמים:

A THREAD OF BLUE. Upon the fringes. The reason the thread was blue is that blue is a sky-like color.
מִפְּנֵי שֶׁהַתְּכֵלֶת דּוֹמֶה לַיָּם וְיָם דּוֹמֶה לָרָקִיעַ וְרָקִיעַ דּוֹמֶה לְכִסֵּא הַכָּבוֹד שֶׁנֶּאֱמַר וַיִּרְאוּ אֵת אֱלֹהֵי יִשְׂרָאֵל וְתַחַת רַגְלָיו כְּמַעֲשֵׂה לִבְנַת הַסַּפִּיר וּכְעֶצֶם הַשָּׁמַיִם לָטֹהַר וּכְתִיב כְּמַרְאֵה אֶבֶן סַפִּיר דְּמוּת כִּסֵּא

It is because sky-blue dye is similar in its color to the sea, and the sea is similar to the sky, and the sky is similar to the Throne of Glory, as it is stated: “And they saw the God of Israel; and there was under His feet the like of a paved work of sapphire stone, and the like of the very heaven for clearness” (Exodus 24:10). This verse shows that the heavens are similar to sapphire, and it is written: “And above the firmament that was over their heads was the likeness of a throne, as the appearance of a sapphire stone” (Ezekiel 1:26). Therefore, the throne is similar to the heavens. The color of sky blue dye acts as an indication of the bond between the Jewish people and the Divine Presence.

ת"ר חלזון זהו גופו דומה לים וברייתו דומה לדג ועולה אחד לשבעים שנה ובדמו צובעין תכלת לפיכך דמיו יקרים

§ The Sages taught: This ḥilazon (snail), which is the source of the sky-blue dye used in ritual fringes, has the following characteristics: Its body resembles the sea, its form resembles that of a fish, it emerges once in seventy years, and with its blood one dyes wool sky-blue for ritual fringes. It is scarce, and therefore it is expensive.

ותכלת. אמר יפת שהוא כדמות שחרות. כי הוא תכלית כל הצבעים. והכל ישובו אליו והוא לא ישוב במעשה אדם לעולם ואנו נסמוך על רז"ל שאמרו שהוא ירוק והוא צמר:
AND BLUE. Yefet says that tekhelet (blue) is a blacklike color. Black is the final color, as all colors turn black, and no human hands can change black. However, we will rely on the sages of the Talmud who said that tekhelet is green wool.