The Mathematics in Support of Urban Density

The strongest case for urban density can't be made in terms of aesthetics, according to this article.

1 minute read

March 30, 2022, 10:00 AM PDT

By James Brasuell @CasualBrasuell


French Density

cocoparisienne / Pixabay

Writing for Full Stack Economics, Alan Cole brings mathematics to bear on the contested ground between urban and the suburban. Proponents tend to make the case for either end of the development spectrum with appeals to aesthetics, according to Cole, but the strongest case in support of urban density can be made with math.

"The biggest virtues of denser cities flow from ironclad principles of geometry and arithmetic—along with some basic economic concepts," writes Cole.

Cole cites the affordability of housing (i.e., supply and demand), the geometry of travel distances, and the space disadvantage of cars to build this mathematical argument, which can be read in full at the link below.

Thursday, March 24, 2022 in Full Stack Economics

portrait of professional woman

I love the variety of courses, many practical, and all richly illustrated. They have inspired many ideas that I've applied in practice, and in my own teaching. Mary G., Urban Planner

I love the variety of courses, many practical, and all richly illustrated. They have inspired many ideas that I've applied in practice, and in my own teaching.

Mary G., Urban Planner

Cover CM Credits, Earn Certificates, Push Your Career Forward

Logo for Planetizen Federal Action Tracker with black and white image of U.S. Capitol with water ripple overlay.

Planetizen Federal Action Tracker

A weekly monitor of how Trump’s orders and actions are impacting planners and planning in America.

June 11, 2025 - Diana Ionescu

Rendering of Shirley Chisholm Village four-story housing development with person biking in front.

San Francisco's School District Spent $105M To Build Affordable Housing for Teachers — And That's Just the Beginning

SFUSD joins a growing list of school districts using their land holdings to address housing affordability challenges faced by their own employees.

June 8, 2025 - Fast Company

Yellow single-seat Japanese electric vehicle drivign down road.

The Tiny, Adorable $7,000 Car Turning Japan Onto EVs

The single seat Mibot charges from a regular plug as quickly as an iPad, and is about half the price of an average EV.

June 6, 2025 - PC Magazine

People riding bicycles on separated bike trail.

With Protected Lanes, 460% More People Commute by Bike

For those needing more ammo, more data proving what we already knew is here.

45 minutes ago - UNM News

Bird's eye view of half-circle suburban street with large homes.

In More Metros Than You’d Think, Suburbs are Now More Expensive Than the City

If you're moving to the burbs to save on square footage, data shows you should think again.

2 hours ago - Investopedia

Color-coded map of labor & delivery departments and losses in United States.

The States Losing Rural Delivery Rooms at an Alarming Pace

In some states, as few as 9% of rural hospitals still deliver babies. As a result, rising pre-term births, no adequate pre-term care and "harrowing" close calls are a growing reality.

June 15 - Maine Morning Star