[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

Preview

Hcarstens