Exploration Library

The Spring-Balanced Desk Lamp

An adjustable desk lamp with springs instead of a counterweight stays balanced …

Vectors Forces +3

Undersea Internet Cables

The 700,000 miles of cables connecting the world's internet

Optimization Graph Theory +3

Electrical Power Grid Networks

Optimizing power line connections between stations and consumers

Optimization Graph Theory +3

Car Blind Spots and A-Pillars

How car windshield pillars create dangerous blind spots for drivers

Trigonometry Angles +3

Rugby Goal Kicking

Finding the optimal angle for distance and accuracy in rugby kicks

Optimization Trigonometry +3

How Gears Work

Understanding gear systems in bicycles, cars, and machinery

Applied Mathematics Circular Motion +3

Airplane Holding Patterns

How aircraft circle while waiting to land, maintaining safe separation

Optimization Vectors +3

Objects Rotating in Circles

Understanding circular motion in wheels, turntables, and rotating platforms

Vectors Circular Motion +3

Triangulation and Survey Points

How surveyors use triangulation points to map terrain and measure distances

Trigonometry Applied Geometry +3

Has the Elizabeth line led to a rise …

Compare rental prices near Elizabeth line stations before and after opening, against …

Statistics Applied Mathematics +2

Swiss Shooting Range Over a Wall and a …

A unique Swiss shooting range where shooters fire over a protective wall

Optimization Trigonometry +3

Mathematics of Card Shuffling

How many shuffles does it take to randomize a deck of cards?

Probability Combinatorics +2

Attaching a water hose sprinkler to a speaker

A vibrating speaker with a water hose taped to it turns a …

Physics Cymatics +2

Day Length and the Equation of Time

Daylight length follows a sine curve almost perfectly — almost. This explores …

Climate Science Astronomy +2

Daylight Hours

There are many ways to explore trigonometry in this classic problem

Climate Science Astronomy +2

A Ferris Wheel

It's a classic example but you can put your own twist on …

Circular Motion Trigonometric Functions +2

Solar Analemma

Photograph the sun at the same clock time every day for a …

Trigonometry Astronomy +2

The Waterfall Swing

The waterfall shuts off just before the rider swings through it — …

Projectile Motion Physics +2

Spirals and Polygons

Join every k-th of n equally spaced points around a circle instead …

Geometric Patterns Nature +2

Is a Snail Shell Archimedean or Logarithmic?

Snail shells, hurricanes and galaxies all spiral, but not all spirals are …

Geometric Patterns Nature +2

It's not just the area

How does this foliage island move around the water?

3D Geometry Measurement +2

Suspension Dock

Explore the shape of the cables and the design of this dock.

Forces Catenary Curves +2

Measuring Volumes with LASERs

Turn a grid of laser-measured heights into a volume estimate, the method …