### There are 22 results

Broad Topics >

3D Geometry, Shape and Space > 2D representations of 3D shapes

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

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

##### Age 16 to 18

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.

##### 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 11 to 16 Challenge Level:

A task which depends on members of the group working
collaboratively to reach a single goal.

##### Age 11 to 16 Challenge Level:

A task which depends on members of the group working
collaboratively to reach a single goal.

##### Age 5 to 16

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. . . .

##### 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 14 to 16 Challenge Level:

Can you make a new type of fair die with 14 faces by shaving the
corners off a cube?

##### Age 14 to 16 Challenge Level:

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

##### Age 14 to 16 Short Challenge Level:

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

##### Age 7 to 18 Challenge Level:

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

##### Age 14 to 16 Challenge Level:

A spider is sitting in the middle of one of the smallest walls in a
room and a fly is resting beside the window. What is the shortest
distance the spider would have to crawl to catch the fly?

##### Age 14 to 16 Challenge Level:

A cube is made from smaller cubes, 5 by 5 by 5, then some of those
cubes are removed. Can you make the specified shapes, and what is
the most and least number of cubes required ?

##### Age 14 to 16 Challenge Level:

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

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

Put your visualisation skills to the test by seeing which of these
molecules can be rotated onto each other.

##### Age 11 to 16

This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy.

##### Age 14 to 18 Challenge Level:

An introduction to bond angle geometry.

##### 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?

##### Age 14 to 18 Challenge Level:

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

##### Age 11 to 16 Challenge Level:

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

##### Age 11 to 16 Challenge Level:

Explore the properties of perspective drawing.

##### Age 11 to 16

The second in a series of articles on visualising and modelling shapes in the history of astronomy.