A few things for you:
1). The use of 3/4 inch struts 6 feet long in a 1V icosahedral dome is marginal on the playa. You might get away with it, but when the winds come you need to let the structure luff or you will lose it.
2). The form on the right is not a 1V, its a 2V. It is much stronger than a 1V and uses shorter struts in greater quantity for better triangulation. I would consider a 2V the minimum ante for playa use. If you want to do a 2V, i would use a real geodesic 2V. The pictured one is a 2V but not a true geodesic and this hurts the integrity considerably. A true geodesic uses the same strut count, so there really isnt a good reason to do the variant type.
3). The most critical part of the dome is the way the end flanges are formed. Dont use a hammer, vise, or other field-expedient method. Use a press instead and make clean, even crimps. Then use a jig to drill the holes so the center-to-center tolerances are tight. Understand that dome deformation first begins at the crimps, and once you lose one, the failure is a rapid cascade of failing ends. Having clean crimps and evenly matched lengths within each strut class goes a long way to resisting initial deformation.
4). The second most critical part of a dome is the cover. A form-fitted cover does a lot better at high wind speeds than a tarp or makeshift cover. Loose covers turn into a sail or spinnaker, and are the main cause of failure. Eliminate the sail effect, let the cover spill air gracefully, and let the structure dissipate loads evenly and dome failures will be rare.
5). Anchor the PHOOEY out of a 1V. Unlike a true dome, virtually all wind angles result in lift. This means they want to move around and fly away. One big stake per vertex is a requirement. I would also suggest putting a stake in the very middle (and covering it up carefully) to use as a cinch point for the top apex in high winds. That top apex needs restraint and lacking it will be a primary contributing factor to early failure.
If you need help on this, feel free to PM me. Lots of little things go into making a survivable dome that are better covered off-board unless there is a community interest.
And definitely try to go with a higher freq icosa than a 1V if you can manage it.