Mysterious numbers

Deep mysteries lie between the numbers whole.
Ratios have a logic we accept
But, in between, infinity dwells veiled

At first, one merely counted shark fin whales
Such numbers seem both simple and direct
Yet mysteries hide between the numbers whole

Sheep and goats are counted soon as well
Yet mystery an hypoteneuse reflects
For at such points infinity dwells veiled

A number which gives 2 when squared itself
Can nowhere find a ratio to check.
Yes, mysteries lie between our numbers whole

The Greeks rejected such irrational stealth
To geometry only they chose to connect
For on a line, infinity dwells veiled

On sucu shores, their reason was well wrecked
As those who measured circles found defects.
Deep mysteries lie between the numbers whole
On lines and arcs, infinity dwells veiled