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#### Resources tagged with Topology similar to Bands and Bridges: Bringing Topology Back:

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##### Other tags that relate to Bands and Bridges: Bringing Topology Back
Combinatorics. Games. Working systematically. Visualising. Mathematical reasoning & proof. Generalising. Cubes. Topology. Networks/Graph Theory. Interactivities.

### There are 18 results

Broad Topics > Decision Mathematics and Combinatorics > Topology

### Bands and Bridges: Bringing Topology Back

##### Stage: 2 and 3

Lyndon Baker describes how the Mobius strip and Euler's law can introduce pupils to the idea of topology.

### Travelling Salesman

##### Stage: 3 Challenge Level:

A Hamiltonian circuit is a continuous path in a graph that passes through each of the vertices exactly once and returns to the start. How many Hamiltonian circuits can you find in these graphs?

### Tourism

##### Stage: 3 Challenge Level:

If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.

### Königsberg

##### Stage: 3 Challenge Level:

Can you cross each of the seven bridges that join the north and south of the river to the two islands, once and once only, without retracing your steps?

### Konigsberg Plus

##### Stage: 3 Challenge Level:

Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.

### The Königsberg Bridge Problem

##### Stage: 2 and 3

This article for pupils describes the famous Konigsberg Bridge problem.

### More on Mazes

##### Stage: 2 and 3

There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.

### Icosian Game

##### Stage: 3 Challenge Level:

This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.

### Tangles

##### Stage: 3 and 4

A personal investigation of Conway's Rational Tangles. What were the interesting questions that needed to be asked, and where did they lead?

### Colouring Curves Game

##### Stage: 2 and 3 Challenge Level:

In this game, try not to colour two adjacent regions the same colour. Can you work out a strategy?

### A-maze-ing

##### Stage: 2 and 3

Did you know that ancient traditional mazes often tell a story? Remembering the story helps you to draw the maze.

### Going Places with Mathematicians

##### Stage: 2 and 3

This article looks at the importance in mathematics of representing places and spaces mathematics. Many famous mathematicians have spent time working on problems that involve moving and mapping. . . .

### 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. . . .

### Making Maths: Make a Magic Circle

##### Stage: 2 Challenge Level:

Make a mobius band and investigate its properties.

### Making Maths: Walking Through a Playing Card?

##### Stage: 2 and 3 Challenge Level:

It might seem impossible but it is possible. How can you cut a playing card to make a hole big enough to walk through?

### Geometry and Gravity 2

##### Stage: 3, 4 and 5

This is the second of two articles and discusses problems relating to the curvature of space, shortest distances on surfaces, triangulations of surfaces and representation by graphs.

### The Art of Celtic Knots

##### Stage: 2

This article gives a taste of the mathematics of Celtic knots.

### 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.