Optimizing Toothpick Egg Drop Project Design

[Britmer]

Homework Statement

I have to build a egg drop project out of only toothpicks and glue. I can have a plastic bag to hold the egg (and avoid cleaning up a mess). It has to weigh 40 grams or less. The egg must be dropped from a height of three meters. I attempted to build it. I had a cube to hold the egg and underneath I had squares made of toothpicks glued to it. Is there any suggestions for modifications that I should make for a successful drop?

 

[Britmer]

Right now, it looks like a rectangular prism with two squares sticking out of the bottom. Also, If I have to, I'm not against scrapping my project for a better design. But I rather just make a few adjustments to my design. I'm rather pressed for time.