My favourite shape
Helicoid Alex Doak
My favourite shape is the helicoid, as it has many interesting geometric properties. Firstly, it is a ruled surface. The helicoid is constructed by moving a straight line in space; in this case by rotating it about an axis while moving along said axis at a constant speed. Ruled surfaces are very popular in architecture, such as hyperboloid cooling towers and, of course, helicoid staircases. Secondly, it is a minimal surface. In fact, it has been proven that the helicoid, along with the plane, are the only ruled minimal surfaces!
Routes You start at A and are allowed to move either to the right or upwards. How many different routes are there to get from A to B?
Source: mscroggs.co.uk Answers at chalkdustmagazine.com
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