Yesterday in Triangle Appreciation

I woke up today quite upset that I had missed Triangle Appreciation Day.

Yesterday’s date, 12/10/10, should have been the perfect occasion to celebrate the 12-10-10 triangle:

10-10-12 Triangle

Rueful that I had missed the opportunity, I thought to myself “Better late than never”, and started to extol the virtues of this fine isosceles triangle.  But after working for a bit and experiencing some deja vu, I realized that I had already done this:  on 10/12/10!

So, I guess I was early, rather than late.  Happy belated Triangle Appreciation Day!

Tiling the Plane

An example of tiling the plane with regular hexagons.  Well, maybe not the whole plane, but you get the idea.

A valid tiling of the plane means that everything fits together perfectly–no gaps.

tiling the plane

A nice simple little exercise is trying to figure out which regular polygons can be used to tile the plane like this.  The next step is to allow the use of more than one kind of regular pentagon, and so on.

 

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