### Bread Making

The other day I was making some bread but I forgot to put in the baking powder.

You can use baking powder in bread that doesn’t require yeast.

Since I didn’t have any yeast, but I had some baking powder, I figured it would work well enough.

But I forgot the baking powder.

### Triangles and Circles

There’s a really cool relationship between non-right triangles and circles.

First you find the midpoint on each of the triangles sides, and then draw a line connecting that point on the line to the opposite point of the triangle.

The place where these three lines cross is called the centroid.

And you can create a circle that has shares this center, so that the circle will touch perfectly to each of those midpoints.

### Everyone’s Got a Circle

Which means in every non-right triangle, you can draw a perfect circle inside that centers on the triangle’s centroid.

When I was a kid I got this chemistry set.

Very basic, a few chemicals to mix together.

Since it was for kids, it wasn’t to heavy on the theory, only on the idea of mixing stuff together to get some very interesting results.

Like mix two clear liquids together and get pink.

### Most Famous Kid Experiment

And the famous baking soda and vinegar.

Once I learned how to do that, I used up all our vinegar and baking soda, which of course, got me into trouble.

The cult of Pythagoras is famous for creating the idea of the right triangle, and the Pythagorean theorem.

Namely A squared plus B squared is C squared, where C is the hypnotenuse.

### Not Just Pyramids

But the ancient Egyptians had figured this out long before Pythagoras.

Only they did it in reverse.

They started with three lengths of rope.

One that was four lengths, one that was three lengths, and one that was five lengths.

They didn’t even need to know how long each individual length was.

### 3 4 5

But they knew that if they connected these three lengths, 3,4 and 5, into a triangle, one of the angles would be a perfect right angle.

They did this when creating their crops.

Not only did they use this to make rectangular crops with perfect corners, but they could line them up so they were parallel.

All without knowing anything about math or triangles.

All with applying the 3,4,5, rope length process.

### Right Triangle Magic

Right triangles are simple.

Yet they are incredibly mysterious in their complexity.

Right triangles form the basis for trigonometry.

The calculation of sine and cosine is best on the ratio of sides of right triangles with different angles in the non 90 degree corner.

### Trigonometric Magic

Trigonometry is everywhere.

From trigonometry comes the idea of pi.

As an angle cycles from zero to three sixty and back to zero again, the sine oscillates 0 to 1 and back.

Pi is connected to a circle, namely the circumference of a circle divided by it’s diameter.

But pi can’t exist.

### Crazy Number Doesn’t Make Any Sense

Pi is an irrational number.

Meaning it can’t be expressed by a fraction.

No whole number divided by another whole number will create pi.

So if you have a whole number for the circumference, you cannot have a whole number for the diameter.

If you have a whole number for the diameter, you cannot have a whole number for the circumference.

By even in basic material science, pi cannot exist.

Pi can only ever be an approximation of a philosophical construct.

### Heisenberg

Because of Heisenberg’s principle of uncertainty.

The uncertainty in any position multiplied by the uncertainty of any momentum cannot be zero.

It is proportional to Planck’s constant.

Planck’s constant divided by 4pi.

Which means in real life, if you wanted to measure the absolute most precise measurement of both the circumference and diameter of any circle, you would run up against Heisenberg’s principle of uncertainty.

### Pi Disproves Pi

Which itself, is based on the number pi.

Which essentially says that you can’t measure pi because of a mathematical idea which contains the idea of pi.

A number that pops up in the strangest of places.

All from a simple triangle that the Egyptians used to make perfect crops.

### Experimental Mess

Making messes with vinegar and baking soda is one early memory I have of being impressed by science.

Of being able to wonder how things really work.

Of being able to appreciate how both certainty and uncertainty can co-exist at the same time.

The reason that baking powder works in bread is essentially the same reason that baking soda and vinegar creates bubbles.

### Base and Acid

Baking soda is a base.

Vinegar is a weak acid.

Mix them together and you eventually get some CO2 produced, which is where the bubbles come from.

Baking powder, which is mostly baking soda, will mix with whatever weak acid you put in the bread mix to create the same effect.

### Bubbles and Bread

While it cooks, it will create the same reaction, which will create the CO2 bubbles, which will make the air fluffy.

Of course, this won’t work if you forget the baking powder.

But if you are going to use the bread to make a sandwich, it’s OK.

Then it’s just a matter of cutting length wise instead of width wise.

Which means even if you forget the science, you can make up for it by altering the geometry.

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