Tag Archives: Big Bang

Secrets of Pi

This week’s conjoined Torah portions of Vayak’hel and Pekudei conclude the description of the Mishkan’s construction. The Haftarah for Pekudei is a passage from the seventh chapter of I Kings (the exact verses vary by community) describing King Solomon’s construction of the Jerusalem Temple. One of the most breathtaking structures standing in front of the Temple was the “Molten Sea”, a large bathtub for the kohanim to immerse in (as per Rashi and II Chronicles 4:6). The Tanakh describes that the bath was circular, sitting upon a base of twelve oxen statues, and had a total depth of five cubits, roughly ten feet. It held a volume of alpayim bat, “two thousand baths” of water (I Kings 7:26). In fact, the Hebrew bat (בת) is likely the etymology for the English word “bath”!

Illustration of the First Jerusalem Temple, or Solomon’s Temple, with the Molten Sea on the right.

What’s most perplexing in the description is that we are told the diameter of the circular tub was 10 cubits, yet its circumference was 30 cubits. Throughout history, many have pointed out that this seems to be an error! We all know that the ratio of a circle’s circumference to its diameter is π or Pi, which is 3.1415926 (and so on). So, the Tanakh should have said that the diameter was 10 cubits and the circumference was 31 or 31 and a half cubits. How do we solve this puzzle, and what deeper significance does Pi hold in the Torah?

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Lights of Adam Kadmon

‘Jacob Keeping Laban’s Flocks’ by Gustav Doré

In this week’s parasha, Vayetze, we read about the intrigues of Jacob and Laban’s business dealings. Jacob asked for his wages to be all the sheep and goats that had strange skin patterns. He then used his knowledge of epigenetics (as explored in the past here) to produce flocks that were ‘akudim, nekudim, and telu’im, “ringed”, “spotted”, and “striped”. Years later, when he relates his struggles with Laban to his wives (Genesis 31:10), he describes the flocks as ‘akudim, nekudim, and vrudim, using a different term for “striped”. While this might seem trivial on the surface, Jewish mystical texts derive a tremendous amount of meaning from these descriptions. In fact, here in these verses the Torah is revealing to us some of the deepest secrets of Creation. Continue reading

Mind-Blowing Gematriot

In this week’s parasha, Ha’azinu, Moses cautions the people in his final song to carefully fulfil “all the words of this Torah, for it is not an empty thing for you” (Deuteronomy 32:46-47). The Ba’al HaTurim (Rabbi Yakov ben Asher, 1269-1343) comments here that, on a deeper level, the words “for it is not an empty thing for you” are referring to gematriot, the numerical calculations and mathematical codes embedded in the Torah, that emanate from the divinity and precision of the Hebrew language. The general public often disparages gematria as being unreal or artificial in some way, a soup where anyone can find anything they are looking for. This couldn’t be further from the truth. While some have certainly abused gematria in unnatural ways, there is a legitimate foundation and system to it. Continue reading