# [geometries] of ideas

using geometries to create ideas

read down the list, when you find yourself pausing, when you find yourself wondering what-if, that's your idea!

## 1. Point

types of points

moving points

number line of points

routes along points

## 2. Vertical Line

line through the columns of a table

line connecting points

line avoiding points

distance between points

moving average

## 3. Horizontal Line

line through the rows of a table (notice how rows and columns contain different things and so lines through them mean different things: within a column and across rows)

line connecting points

line avoiding points

distance between points

moving average

## 4. Circular

Sin, Cosine

Radians

Fast Fourier Transform (decomposition)

Area

## 5. Rectangular

Area

Contained within

Kept out

What happens if doubles?

What happens if halves?

## 6. Bayesian

Bayes theorem (current evidence updates prior probabilities) can be thought of as a geometry - so fun! Thank you 3 blue 1 brown...

## 7. Time

Add a time dimension to any of the above geometries to create motion

Point in time

Horizontal velocity

Vertical velocity

Vector

Momentum

## 8. Third Dimension

Add a z axis to create 3 dimensional geometries like cubes, cylinders and cones

Add a force to z axis to create classical mechanics

## 9. Transformations

Add a transformation to any geometry or motion to come up with a derivative idea

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