Math, Pi, Kav, Infinity, Limits, and more....

After browsing a bit on the web and seeing the impressive material that's been written on the subjects (a few links of note I placed below) I'm humbly reminded that I really don't know much of Torah or l'havdil Mathematics. That being said, my thoughts:

First, the full passage of Yam shel Shlomo from Melachim I Ch 7 with my added bold highlights:

א ז,כג וַיַּעַשׂ אֶת-הַיָּם, מוּצָק: עֶשֶׂר בָּאַמָּה מִשְּׂפָתוֹ עַד-שְׂפָתוֹ עָגל סָבִיב, וְחָמֵשׁ בָּאַמָּה קוֹמָתוֹ, וקוה (וְקָו) שְׁלשִׁים בָּאַמָּה, יָסב אתוֹ סָבִיב.וּפְקָעִים מִתַּחַת לִשְׂפָתוֹ סָבִיב, סֹבְבִים אתוֹ--עֶשֶׂר בָּאַמָּה, מַקִּפִים אֶת-הַיָּם סָבִיב; שְׁנֵי טוּרִים הַפְּקָעִים, יְצֻקִים בִּיצֻקָתוֹ. עמֵד עַל-שְׁנֵי עָשָׂר בָּקָר, שְׁלֹשָׁה פֹנִים צָפוֹנָה וּשְׁלשָׁה פנִים יָמָּה וּשְׁלֹשָׁה פּנִים נֶגְבָּה וּשְׁלשָׁה פּנִים מִזְרָחָה, וְהַיָּם עֲלֵיהֶם, מִלְמָעְלָה; וְכָל-אֲחרֵיהֶם, בָּיְתָה. וְעָבְיוֹ טֶפַח, וּשְׂפָתוֹ כְּמַעֲשֵׂה שְׂפַת-כּוֹס פֶּרַח שׁוֹשָׁן; אַלְפַּיִם בַּת, יָכִיל

I find the whole thing astonishing ... not sure where to begin even... here goes.... the famous remez to Pi in the kri and ketiv of קו קוה .. the ratio of 111/105 x 3... the common symbolism of Male in 'line' and Female in 'circle'.... kav being finite and defined, a circle (by virtue of pi) being infinitely irrational... the references at the end to בת וכל... malchut infinity... י"ם של שלמה,,. ... the relation of yaakov (kav) to Rachel (and maybe Leah, not sure)....

and on a somewhat related point: what made the problem of solving areas of curves in mathematical history so difficult, so complex? it's that same infinite nature of the curves....and how ultimately does the 'limit technique' of Calculus make that infinity approachable to us? by finding a way of converting/compartmentalizing the "infinite" component into "nothing" i.e. the fragmenting of the nth term into the denominators of the equations so that they become neglible and allow us to deal in real terms with what's left of the equation.... a conversion of אין סוף into an אין to allow for יש. .. the double meaning of kol כל וכל שהוא...

see also:

http://www.truthofland.co.il/english/Sea%20of%20Solomon.htm 

[Note the following: pi = פא"י which = צ"א i.e. זו"נ...]