# Resources tagged with: Non Euclidean Geometry

### There are 10 results

Broad Topics >

3D Geometry, Shape and Space > Non Euclidean Geometry

##### Age 16 to 18 Challenge Level:

How many different colours would be needed to colour these
different patterns on a torus?

##### Age 11 to 18

This article (the first of two) contains ideas for investigations.
Space-time, the curvature of space and topology are introduced with
some fascinating problems to explore.

##### Age 16 to 18

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

##### Age 16 to 18 Challenge Level:

Consider these weird universes and ways in which the stick man can shoot the robot in the back.

##### Age 16 to 18

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

##### Age 14 to 18

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. . . .

##### Age 16 to 18 Challenge Level:

Use simple trigonometry to calculate the distance along the flight
path from London to Sydney.

##### Age 16 to 18 Challenge Level:

Shows that Pythagoras for Spherical Triangles reduces to
Pythagoras's Theorem in the plane when the triangles are small
relative to the radius of the sphere.

##### Age 16 to 18 Challenge Level:

Two places are diametrically opposite each other on the same line of latitude. Compare the distances between them travelling along the line of latitude and travelling over the nearest pole.

##### Age 16 to 18 Challenge Level:

Prove Pythagoras' Theorem for right-angled spherical triangles.