Word 2010 SmartArt Mind map spider

Are you referring to the radar (web) chart?

If yes, unfortunately it’s not available as a SmartArt object in Word.

 

The web chart can be created using the Chart option in Word.

In Word, click on Insert > Illustrations group > Click on Chart > select Radar from the list on the left side.

 

However, you may try to use the Stacked Venn diagram using the SmartArt option and check if that serves your purpose.

In Word, click on Insert > Illustrations group > Click on SmartArt > click on Relationship > scroll down and select Stacked Venn.

I haven't seen a SmartArt for mind mapping. You will have to google search for it. There may be one out there. MS does allow us to add new SmartArts to our installations.

In the mean time you may want to fall back to Shapes instead.  Insert the appropriate shape, give it a short despcriptive title text, put the rest of the text you want in a separate shape that has had the outside borders turned off so the shape is not visible.

You can use "Connector" type lines, rather than simple (non-connector) lines, to join the shapes in the mind map. Connectors stay attached to the objects when you move objects. Simple lines do not attach to shapes.

This tip explains the difference in line types:
Using Connectors with Shapes

http://wordribbon.tips.net/T006277_Using_Connectors_with_Shapes.html

You may also want to consider using a dedicated tool. Again, google is your friend, there are many mind map tools for you to find.  Using the shapes approach is kind of pushing word to do things at the edge of it's capabilities.