Resources tagged with: 2D representations of 3D shapes

Filter by: Content type:
Age range:
Challenge level:

There are 23 results

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

Torus Patterns

Age 16 to 18 Challenge Level:

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

The Development of Spatial and Geometric Thinking: 5 to 18

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. . . .

Euler's Formula

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.

Shaping the Universe II - the Solar System

Age 11 to 16

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

Nine Colours

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?

Geometry and Gravity 1

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.

The Perforated Cube

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 ?

Shaping the Universe I - Planet Earth

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.

The Spider and the Fly

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?

Weird Universes

Age 16 to 18 Challenge Level:

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

Air Nets

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.

Moving Squares

Age 14 to 16 Challenge Level:

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

Chopped Dice

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?

Perspective Drawing

Age 11 to 16 Challenge Level:

Explore the properties of perspective drawing.

3D Drawing

Age 11 to 16

The design technology curriculum requires students to be able to represent 3-dimensional objects on paper. This article introduces some of the mathematical ideas which underlie such methods.

Solids

Age 11 to 16 Challenge Level:

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

The Solid

Age 11 to 16 Challenge Level:

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

Construct the Solar System

Age 14 to 18 Challenge Level:

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

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?

Bent Out of Shape

Age 14 to 18 Challenge Level:

An introduction to bond angle geometry.

Perfect Eclipse

Age 14 to 16 Challenge Level:

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

Stereoisomers

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.

Which Face?

Age 14 to 16 Short Challenge Level:

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