UMAP Journal 47.2 Summer 2026 Edition
Table of Contents
Publisher’s Editorial New Director of Contests and Outreach
Article Cancer Survival Rates Are Misle…
The Human Cough 2nd Edition (UMAP)
The human cough contracts the trachea to speed airflow. This Module models the cough as laminar airflow through an elas…
Mentoring through Predator-Pray: Polymath Junior Realizes Hopes
What is the Polymath Jr. Program?
Fortuna est quae fit cum praeparatio in occasionem incidit. Luck is what happens wh…
Cancer Survival Rates Are Misleading
Introduction
Five-year survival rates may be the most misleading statistics in medicine.
For example, suppose that 5-…
Mercator's World Map and the Calculus 2nd Edition (UMAP)
This Module explains the need for angle-preserving nautical charts, celebrates Mercator’s angle-preserving world map of…
Protecting Wildlife at Scale
Background
National parks, including large wildlife reserves, play a critical role in protecting endangered plant a…
Walking to the Horizon To Find the Earth’s Radius
Introduction Chamberland [2025a] offered an ingenious and innovative technique for calculating the radius of the Earth…
Minimodule: Cancer Modeling
Abstract In this assignment, you will explore classical models of cancer growth and analyze the behavior of these equa…
Minimodule: Modeling Blood Flow in Vessels
Abstract We introduce cardiovascular fluid mechanics and explore a model of blood flow through a cylindrical vessel. I…
Mr. Markov Aviates Aeroplane Chess
Aeroplane Chess “飞行棋” is an East Asian board game in which each player commands a fleet of four planes that race aro…
Windchill 2nd Edition (UMAP)
This Module introduces a formula for heat loss in cold air and develops former and contemporary formulas for heat loss…
UMAP Journal 47.1 Spring 2026 Edition
Table of Contents
Publisher’s Editorial Sol Garfunkel Awards for 2025
Article Mr. Markov Aviates Aeroplane Chess
Mo…
Modeling the Best Location for Heli-Hydrants and Fire Stations (Modeling Module)
The context for this module is modeling the placement of heli-hydrants and fire stations for use in fighting fires.
Th…
Polyominoes Investigated Via Partitions
Part of what makes the study of polyominoes without holes rich and intriguing is the different points of view that can…
Modeling the Best Location for Heli-Hydrants and Fire Stations
The context for this Pull-Out is modeling the placement of heli-hydrants and fire stations for use in fighting fires…
Consortium 129, Fall/Winter 2025
Table of Contents:
Editorial: 2026 Year of Math
MidMCM: 2024 Contest Results: The Modeling Musical Tour
Modeling Pu…
Data With The Stars
Background:
Dancing with the Stars (DWTS) is the American version of an international television franchise based on…
Creating a Moon Colony Using a Space Elevator System
Background:
Imagine a future where it’s possible for anyone to visit space by taking a leisurely and scenic ride fro…
Modeling Smartphone Battery Drain
Background:
Smartphones are indispensable tools in modern life, yet their battery behavior often seems unpredictable…
Passive Solar Shading
Background:
Passive solar shading has become a common addition to both housing and commercial buildings as a part of…
To Gen-AI, or Not To Gen-AI (or how to Gen-AI)? That is the Question!
Background:
In just a few years, Generative Artificial Intelligence (Gen-AI) has gone from a tool of limited capacit…
Managing Sports for Success
Background:
Fans tend to focus on the players on the field or court, but that is only the tip of the sports business…
UMAP Journal 46.4 Winter 2025 Edition
Table of Contents
Publisher’s Editorial
Doug Faires Lifetime Achievement Award for 2025
MCM Modeling Forum
Results…
Environmental Impact of Sport Mega-Events
Background
Every year, the Super Bowl brings together millions of people – from fans traveling to the host city, to…
Emergency Evacuation Sweeps
Background
During emergencies such as fires or gas leaks, rapid and orderly evacuation of a building is critical fo…
Responsible and Interesting Zoos!
Background
Zoological parks (zoos) exist to serve four primary purposes: (1) wildlife conservation, (2) scientific…
UMAP Journal 46.3 Fall 2025 Edition
Table of Contents
Guest Editorial
In Memoriam: Jan de Lange (1943–2025)
Editor’s Note: SCUDEM X 2025 Contest
ICM Mo…
It Is Raining Space Dust
Background
A large number of small particles, referred to as Cosmic Dust, constantly fall on the earth’s atmosphere…
An AI Ouroboros
Background
The problem of Artificial Intelligence (AI) model collapse has been documented and studied under ideal sit…
Birds of Different Feathers
Background
Prey animals often collect into groups and move together. The resulting groups may contain one species of…
Scene From Above: Modeling Environmental Changes (Modeling Module)
The context for this module is estimating changes to the environment based on map and satellite images.
The module beg…
Consortium 128, Spring/Summer 2025
Table of Contents:
Editorial: Do the “Henry” Math!
To Henry: From COMAP
Geometer’s Corner: Trilateration: One Key t…
Scene From Above: Modeling Environmental Changes
The context for this Modeling Pull‑Out is estimating changes to the environment based on map and satellite images.
The…
Integer Length Tetrahedra
Little is known about collections of 6 positive integer lengths which can be the edge lengths of a tetrahedron.
A tetr…
Trilateration: One Key to GPS Geometry
One of the technologies that has made our lives much easier is the Global Positioning System or as it’s known as GPS. T…
Solar Panel Installation: A Cost-Benefit Analysis
Bryn Mawr College features a course in which students do projects analyzing real-world issues of sustainability. In Fal…