Search by Topic

Resources tagged with Non Euclidean Geometry similar to Weekly Challenge 47: Weird Universes:

Filter by: Content type:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 4 results

Broad Topics > 3D Geometry, Shape and Space > Non Euclidean Geometry

problem icon

Curvature of Surfaces

Stage: 5

How do we measure curvature? Find out about curvature on soccer and rugby balls and on surfaces of negative curvature like banana skins.

problem icon

How Many Geometries Are There?

Stage: 5

An account of how axioms underpin geometry and how by changing one axiom we get an entirely different geometry.

problem icon

Pythagoras on a Sphere

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Prove Pythagoras' Theorem for right-angled spherical triangles.

problem icon

When the Angles of a Triangle Don't Add up to 180 Degrees

Stage: 4 and 5

This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the. . . .