---
id:
aliases: []
tags:
  - destiny/fleeting
  - topic/electrical
  - topic/estimating
  - type/idea
title: Stochastic Branch Takeoff
---
# Stochastic Branch Takeoff

generate a BOM from point loads distributed in a space.

```yaml
- x: 302.84
  y: 2364.47
  kW: 5.3
  voltage: 277
  phases: 1
...
```

determine relative impact of factors
* allowable voltage drop

## Methods

> [!cite] Reddit u/mightofmerchants
> ![[spatial-sampling.gif|300x300]]

* Poisson disc sampling
* Delunay triangulation
* Voronoi diagrams

<!-- TODO: link paper on procedural generation of single family homes -->

## Average Distance Given Area

Holding area constant,
average taxicab distance between points
varies greatly with the aspect ratio of the space.
Weighted by a probability distribution
an average length and confidence could be given for any known area.

I remember seeing a video on machine learning(?)
that described a class of functions(?)
used to change(?) a function with infinite range.
Something like this:

![[function-example.excalidraw.md]]

$f'(x)$ is a **sigmoid** function.

This is preferable to a floor-ceiling piece-wise function
since it remains differentiable.

Maybe suckerpinch's latest video on the Rupert property
or 3blue1brown's on Euler's Formula.

Actually I think its neither of those,
but a more general ML video by another creator
that used mango cultivar classification by dimensions
as an example.