This page offers a walkthrough of the Painting the Planet Yellow Power Star in the Flipswitch Galaxy. This galaxy is available in Terrace dome once you have 7 power stars. The Flipswitch Galaxy is another small galaxy with only 1 power star.
Flipping the Flipswitches
First off, you want to start heading towards the Jump Beamer flipping the panels from blue to yellow along the way. Be careful when backtracking as it will revert the panel to the previous colour if stepped on again.
After you have turned all the panels yellow on the first side head down to the right where you will see your first Spike Trap obstacle. You can see its set movement pattern by the distinct orange dotted line.
You will then need to make your way left and jump across to the other side. You can make it by using the standard jump. From there you can move forward and begin flipping switches.
When you have changed all the panels to yellow the panels will then turn green and deactivate all hazards on the planet. The Power Star will appear above the Jump Beamer who you will need to jump on to reach the only Power Star in this galaxy.