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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

Volumes of Revolution
Volumes of Revolution

A classic: What will be your take on this? - Explore the …

3D Geometry Calculus Integration +1
Wavy Roads
Wavy Roads

What's the logic here? Surely this is a longer road to build?

Geometry Civil Engineering Road Design +1
Crinkle Walls
Crinkle Walls

Why make walls thicker when you can make them curvy?

Optimization Geometry Architecture +1
Optimising the Volume of Tubes
Optimising the Volume of Tubes

Create a constraint, e.g. the area of A4 paper and explore this …

Optimization Calculus Engineering +1
Sundials
Sundials

How is the sun used to tell the time? - Explore the …

Trigonometry Solar Geometry Sundials +1
Optimising Fences
Optimising Fences

Another classic problem you could consider for your own garden.

Optimization Calculus Constraints +1
Tethered Goats
Tethered Goats

A classic problem with many interpretations - Explore the mathematical principles and …

Optimization Geometry Area +1
Cube Watermelons
Cube Watermelons

Expensive but not optimised? - Explore the mathematical principles and create your …

Optimization Geometry Agriculture +1
Volume of Wood Cut
Volume of Wood Cut

Determine cost functions - Explore the mathematical principles and create your own …

Geometry Forestry Integration +1
Cutting Logs
Cutting Logs

How much wood is here? - Explore the mathematical principles and create …

Geometry Forestry Integration +1
Modelling a bridge Version 2
Modelling a bridge Version 2

Look at the forces involved in this bridge.

Bridge Engineering Catenary Force Analysis +1
Modelling a Bridge
Modelling a Bridge

What is the length of the cable from which bridge is suspended?

Bridge Engineering Cable Geometry Catenary +1