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AI Exploration Coach BETA

We're developing an AI mentor that provides Socratic guidance for your Mathematical Exploration. Currently in beta testing with select schools.

Exploration Ideas

£14 Million, who do you choose?
£14 Million, who do you choose?

How many ways can you arrange or select things in your fantasy …

Combinatorics Permutations Combinations +2
Fidget Spinner Spin Time
Fidget Spinner Spin Time

Why fidget spinners slow down and eventually stop spinning

Rotational Motion Curve Fitting Data Collection +2
Buildings That Look Straight But Aren't: Parthenon
Buildings That Look Straight But Aren't: Parthenon

How architects use lines to counteract optical illusions

Applied Geometry Architecture Curves +2
Red Bull Rampage and Extreme Sports Ramps
Red Bull Rampage and Extreme Sports Ramps

The mathematics behind skateboard, BMX, and mountain bike ramps

Optimization Projectile Motion Energy Conservation +2
Counterbalanced Machines
Counterbalanced Machines

Mechanical systems that make heavy objects feel weightless

Forces Vectors Mechanical Systems +2
Undersea Internet Cables
Undersea Internet Cables

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

Optimization Graph Theory Networks +2
Electrical Power Grid Networks
Electrical Power Grid Networks

Optimizing power line connections between stations and consumers

Optimization Graph Theory Applied Mathematics +2
Car Blind Spots and A-Pillars
Car Blind Spots and A-Pillars

How car windshield pillars create dangerous blind spots for drivers

Trigonometry Angles Applied Geometry +2
Rugby Goal Kicking
Rugby Goal Kicking

Finding the optimal angle for distance and accuracy in rugby kicks

Trigonometry Optimization Projectile Motion +2
How Gears Work
How Gears Work

Understanding gear systems in bicycles, cars, and machinery

Applied Mathematics Circular Motion Angular Velocity +2
Airplane Holding Patterns
Airplane Holding Patterns

How aircraft circle while waiting to land, maintaining safe separation

Optimization Applied Mathematics Circular Motion +2
Objects Rotating in Circles
Objects Rotating in Circles

Understanding circular motion in wheels, turntables, and rotating platforms

Circular Motion Vectors Angular Velocity +2