2D representations of 3D shapes

problem

Perspective Drawing

Age

11 to 16

Challenge level

Explore the properties of perspective drawing.
problem

Which Face?

Age

14 to 16

Challenge level

Which faces are opposite each other when this net is folded into a cube?
problem

Moving Squares

Age

14 to 16

Challenge level

How can you represent the curvature of a cylinder on a flat piece of paper?
problem

Perfect Eclipse

Age

14 to 16

Challenge level

Use trigonometry to determine whether solar eclipses on earth can be perfect.
problem

Stadium Sightline

Age

14 to 18

Challenge level

How would you design the tiering of seats in a stadium so that all spectators have a good view?
problem

Torus Patterns

Age

16 to 18

Challenge level

How many different colours would be needed to colour these different patterns on a torus?
article
Geometry and Gravity 1

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.
article
The Development of Spatial and Geometric Thinking: 5 to 18

This is the first article in a series which aim to provide some insight into the way spatial thinking develops in children, and draw on a range of reported research. The focus of this article is the work of Piaget and Inhelder.
article
The Development of Spatial and Geometric Thinking: Co-Ordinating Space in Drawings

This second article in the series refers to research about levels of development of spatial thinking and the possible influence of instruction.
article
Euler's Formula

Some simple ideas about graph theory with a discussion of a proof of Euler's formula relating the numbers of vertces, edges and faces of a graph.