How might we update or enhance our product visual identifier/logo to best reflect our brand?
The Apache OpenOffice brand reflects the following attributes:
The following visual elements are associate with the Apache OpenOffice products:
No wrong answers here, just a collection of sketches realizing the visual elements.
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Graham Lauder - Graphical Text for Logo text
This is another example of a text graphic created in inkscape used instead of some type of typeface. It's a San Serif type font and can be modified as an svg. 
PNG version: 
Sample document attachment: sample_document.odt