Resources tagged with Topology similar to Where Do We Get Our Feet Wet?:
Other tags that relate to Where Do We Get Our Feet Wet?
Topology. Inequality/inequalities. Visualising. Dynamical systems. Number theory. Patterned numbers. Mathematical reasoning & proof. Manipulating algebraic expressions/formulae. Creating expressions/formulae. Generalising.There are 12 results
Where Do We Get Our Feet Wet?
Stage: 5
Jenny Piggott chose this article. Professor Körner has generously supported school mathematics for more than 30 years and has been a good friend to NRICH since it started.
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.
Euler's Formula and Topology
Stage: 4 and 5
Here is a proof of Euler's formula in the plane and on a sphere together with projects to explore cases of the formula for a polygon with holes, for the torus and other solids with holes and the. . . .
Symmetric Tangles
Stage: 4
The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. Here's why!
Links and Knots
Stage: 5
Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots, prime knots, crossing numbers and knot arithmetic.
Earth Shapes
Stage: 5
What if the Earth's shape was a cube or a cone or a pyramid or a saddle ... See some curious worlds here.
Impossible Polyhedra
Stage: 5
Is it possible to make an irregular polyhedron using only polygons of, say, six, seven and eight sides? The answer (rather surprisingly) is 'no', but how do we prove a statement like this?
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?
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.
More on Mazes
Stage: 2, 3 and 4
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.
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