I asked chat ai to make me a weird and delicious cocktail. Here's what it came up with:

"Rosemary Toasted Tequila"

Ingredients:

• 1 1/2 oz tequila
• 1 oz lime juice
• 1/2 oz agave nectar
• 1/2 oz triple sec
• 1 slice of toasted bread
• 1 sprig of fresh rosemary
• 1 pinch of black pepper
• 1 pinch of salt
• Lime wedge for garnish

Directions:

1. Toast a slice of bread until it's well-browned and crisp.
2. In a shaker, muddle the toasted bread with a sprig of fresh rosemary, a pinch of black pepper, and a pinch of salt.
3. Add tequila, lime juice, agave nectar, and triple sec to the shaker.
4. Fill the shaker with ice and shake well.
5. Strain the mixture into a rocks glass filled with ice.
6. Garnish with a lime wedge and a sprig of fresh rosemary, and serve.

The addition of rosemary and black pepper will add a unique and aromatic flavor to the cocktail, complementing the toasty notes from the bread and the sweetness from the agave nectar. The pinch of salt helps to bring out the flavors of the other ingredients, while the lime juice adds a tart and refreshing finish. Overall, the "Rosemary Toasted Tequila" is a delicious and interesting cocktail that's sure to be a hit.

Chat-GPT Relents

I concluded a long conversation with Chat-GPT about vegetables, cutlery, aviation, and unusual geometry after this response:

"If a triangle is the same as a knife without a blade, it could be used as a substitute for a traditional aircraft control yoke, allowing the pilot to steer the aircraft by twisting and turning the triangle. The pilot could also use the triangle's seven sides to perform complex calculations and determine the optimal altitude for flying the turboprop aircraft. Additionally, the triangle could be used as a makeshift flotation device in case of an emergency landing on water. The triangle's unique shape and properties, as well as its ability to slice a tomato, would make it a highly valued tool in the cockpit of any turboprop aircraft."

Waffle Recipe

 

1 C flour

1 T cornmeal

1 t baking soda

2 t cream of tartar

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1 egg

3/4 C buttermilk ( or milk )

2 T butter, melted.

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Mix wet with dry and cook in waffle iron.

Cornbread

 Dry Ingredients

1 1/2 C cornmeal

1/2 C Bob's Red Mill 1 for 1, or flour.

1 t baking soda

1 t baking powder

1/2 t salt

1/2 t turmeric

1/2 t Matcha

Wet Ingredients

1 1/2 C Kefir

1 Egg

3 T butter, melted.

Directions

Mix wet ingredients into dry, then pour into a hot cast iron skillet. Bake 425F until done.

Baked Oatmeal

 Baked oatmeal is a local favorite in the Amish county of Lancaster, Pennsylvania.  Here is my version.

Dry Ingredients

1 cup Rolled Oats (preferably thick and organic)

1 tablespoons Chia seeds

1/4 cup Flaxseed Meal

2 tablespoons Buckwheat Flour

1/2 cup Walnuts, finely ground.

1 teaspoon Baking Soda

1/2 cup Carrot (grated)

Wet Ingredients

1/2 cup Buttermilk (whole)

1 Egg (large)

1 Banana (mashed)

1/4 cup Butter (softened)

1/2 cup Apple Sauce (optional)

Directions

Add the wet ingredients to the dry and mix well. Bake in a 350F oven for 30-40 minutes. Let cool, then slice and serve with fresh blueberries and honey or maple syrup. Can be frozen and then reheated gently in a microwave, then toasted.

Expected Value and Variance of Platonic Solids

There are five Platonic solids:

1. Tetrahedron = 4 sides
2. Cube = 6 sides
3. Octahedron = 8 sides
4. Dodecahedron = 12 sides
5. Isocahedron = 20 sides

The expected value of a distribution is the sum of the products of the value times and their respective probabilities.  For example, a cube's expected value is 3.5:

E[cube] = 1 * 1/6 + 2 * 1/6 + 3 * 1/6 + 4 * 1/6 + 5 * 1/6 + 6* 1/6 = 3.5

The variance of a distribution is the difference between the expected value of the square values and the square of the expected value:

var(cube) = 1 * 1/6 + 4 * 1/6 + 9 * 1/6 + 16 * 1/6 + 25 * 1/6 + 36 * 1/6  - (3.5 * 3.5) = 2.9167

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Suppose you rolled five dice, each one a different Platonic solid, and each one sequentially numbered starting from the number one.  For example, the tetrahedron's faces would be numbered 1 through 4; the cube numbered from 1 to 6, etc.

If you rolled the lowest number of each die, then the total would 5.  So the minimum of the distribution is 5.  If you rolled the maximum number on each die the total would be 50 (i.e., 4+6+8+12+20).

There are 46,080 (4*6*8*12*20) combinations, so calculating the expected value and variance of these solids is not particularly trivial.  Using R and RStudio I developed a series of loops to iterate through all the combinations and tall the number of times a 5 was rolled, a 6 was rolled, etc., and use
d that data to calculate the expected value and variance.

The expected value of the Platonic Solids is 27.5

The variance of the Platonic solids is 54.58333

The standard deviation of the Platonic solids is 7.38805

The following table shows the frequency and probability of rolling each number:

Derby Day Wings

For the Wings

3 Lb chicken wings
1 C Uncle Bob's Georgia Juice


For the Sauce

1/4 C HP sauce
1/4 C soy sauce
1/4 C pineapple juice
2 T brown sugar
2 t Sriracha sauce
1 T gochujong paste

1/4 C corn starch
1/4 C water


Preparation

Marinate the wings in Georgia Juice for 1-2 hours. Prepare a hickory charcoal grill. Cook the chicken wings until done, then transfer to a large bowl.

In a small sauce pan, mix the HP Sauce, soy sauce, pineapple juice, brown sugar, Sriracha sauce, and gochujong such that all the ingredients are incorporated, then place over medium heat.

Mix the corn starch and water together to form a loose paste.

After the sauce come to a boil, whisk in corn starch mixture and cook for 2 more minutes with continuous whisking.  Once sauce is thickened, remove from heat.


Toss the wings in the sauce for a light glaze.

Inspired by https://www.kentuckyderby.com/party/recipes/appetizers/kentuckyaki-wings