Orders of Magnitude Atlas (Experimental)

Pick a domain to see a curated list of anchors and multiple visualization styles.

Tool Purpose & README

Purpose

This tool builds intuition for how big (or small) engineering quantities are by mapping orders of magnitude to everyday anchors.

Select a domain to load the full anchor list for that quantity.
Review the summary span and ratio for the displayed anchors.
Switch to the visualization tab for multiple ways to see the scale.

See README.md in this folder for assumptions and sources.

Inputs

Domain Summary

Select a domain to load its anchors.

Anchor List

Visualization

What this shows: Anchors sit on a shared log10 axis in base units. How to read: Left-to-right spacing equals orders of magnitude.

Background & Principles

Contents

Orders of magnitude
Equations and variables
SI prefixes and scaling
Anchor selection

1. Orders of Magnitude

Orders of magnitude measure scale using base-10 exponents. Each integer step in exponent represents a 10x change.

2. Equations and Variables

Equation (1) $$ \\Delta n = n_{\\text{max}} - n_{\\text{min}} $$

$n$ : anchor exponents (log10)

Equation (2) $$ R = 10^{\\Delta n} $$

$R$ : ratio between max and min anchors

Equation (3) $$ n = \\log_{10}(V) $$

$n$ : order of magnitude exponent
$V$ : value in base units

3. SI Prefixes and Scaling

Scaled values are reported using SI prefixes in steps of 10^3 (k, M, G, etc.) for readability.

Mass is formatted using grams for prefixes to avoid "millikilogram" style outputs.

4. Anchor Selection

Anchors are curated reference values from everyday engineering intuition (objects, processes, and global-scale quantities). The list is ordered by log10 magnitude to show the full span of the domain.