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I plastered half of the velcro all over the underbelly of the dogloo's roof. Then I stuck and stapled the other half of the velcro to one side of a blanket which I had cut in a circle.
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I then stuck the blanket onto the interior roof and walls of the dogloo. After the blanket was secured, I cut out a door sized piece of blanket, cut strips in it, and velcroed it into the door.
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This is not a pretty job, but it seems like it'll be very warm. My main concern for failure is that the sticky back on the velcro might fail causing the blanket to fall on Yuki's head. This is, however, an acceptable risk.