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Resources tagged with 2D representations of 3D shapes similar to Euler's Formula:

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

Euler's Formula

Stage: 5

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.

Torus Patterns

Stage: 5 Challenge Level:

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

The Perforated Cube

Stage: 4 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 ?

The Development of Spatial and Geometric Thinking: 5 to 18

Stage: 1, 2, 3 and 4

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. . . .

Perspective Drawing

Stage: 3 and 4 Challenge Level:

Explore the properties of perspective drawing.

Bent Out of Shape

Stage: 4 and 5 Challenge Level:

An introduction to bond angle geometry.

Moving Squares

Stage: 4 Challenge Level:

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

Geometry and Gravity 1

Stage: 3, 4 and 5

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.

Weekly Challenge 47: Weird Universes

Stage: 5 Challenge Level:

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

Chopped Dice

Stage: 4 Challenge Level:

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

Air Nets

Stage: 2, 3, 4 and 5 Challenge Level:

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

Shaping the Universe I - Planet Earth

Stage: 3 and 4

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.

Shaping the Universe II - the Solar System

Stage: 3 and 4

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

Stereoisomers

Stage: 5 Challenge Level:

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

Nine Colours

Stage: 3 and 4 Challenge Level:

You have 27 small cubes, 3 each of nine colours. Use the small cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of every colour.