The Dog and the Duck

Time is of the essence with this post so please excuse the strange mix of notations later on. One of my friends sent me this puzzle from fivethirtyeight.com and here is my solution to how the dog needs to catch the duck.
Lots of peoples first instinct is times faster but this is really just a lower bound, i.e. if the dog travels less than π times faster than the duck then the duck can just read radially to the antipoint of the dogs starting position.
There are a few key assumptions here that we can make from the beginning:

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Further explorations into choropleth maps in Excel

I’ve been trying to improve my Excel choropleth map spreadsheet from my first post.

The first thing I tried was to try to update it using some maps created on ClearlyandSimply.com. So I’ve created two new versions, one for Europe and one of the World. Both using the maps from ClearlyandSimply.com, with a few small alterations to the code so that on hovering over the map it tells you the country not the abbreviation. I did try to make my own UK maps of Constituency boundaries and Counties but using this technique but no matter how hard I tried I couldn’t get it to work. If you do get it to work, please let me know. Note that in both the Europe and World map the data may not be accurate and is only there for illustrative purposes.

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Pivot Chart Tracker

Sales mix by sale type
One of the dashboard charts

I was setting up some trackers at work the other day using some OLAP cubes in Excel across a number of different variables (about 20) to track monthly sales which I could refresh each month. Once I’d set the sales tracker up I realised that I wanted to look at average price across the same variables so I made a copy of the spreadsheet and went through each of the pivot tables changing  them to track average price. When I then wanted to look at sales mix (%sales that month) I thought there must be a better way so decided to write some VBA to do all of this for me.
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Mapping in Excel

Over the past year I've been having a play mapping things in Excel, not the best tool for doing this I know but it does the trick. Mapping the data directly from Excel has the advantage that I've my data is already in Excel. I would like to do the same exercise in R but that's for another day once I get to know R better.

The method I used is based on tips and methods used on Chandoo and Clear and Simply.

My output looks like this:

Which looks pretty good to me.
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