That's shaken my very comprehension of the universe. Or rather, very much heightened my intuition of algebraic geometry. What on earth are we wasting our time with pi for!?
Unfortunately, the Tao Manifesto is full of selective bias in order to convince readers of the benefits of τ over π. They pinpoint formulas that contain 2π while ignoring other formulas that do not.
That is a good point. It's always approximate, so 3/14/16 would be the closer approximation. Harder to explain though, like all those people in 2000 who thought they were in the 21st century :-)
without heirs to her fathers was gathered,
Here at the auctioneer's
"things-in-themselves" will be sold.
.................
Vorwort:
The relation between the circumference and the diameter of
the circle is quite definite and concrete, but if expressed of a
numerical fraction its value can only be approximated, admitting
of an infinite progress in accuracy. So the world is determinable
and science is reliable in spite of the fact that her work can never
be finished, and however much we progress and advance in the
solution of life's problem, we can never reach the end. But this
condition of things is not depressive to a healthy mind. On the
contrary, it is an elevating idea that the source of knowledge will
never run dry, and that the waters of life are inexhaustible.
I have a friend we nicknamed Pi. His "hobby" at school used to be memorizing the digits after the decimal point in Pi. I remember at some point in time he could recite a few thousand. Never got the point though.