On February 6, 1994, about 1338 eastern standard time, a Cessna 172RG, N9346D, and a Cessna 172P, N54729, were involved in an on-ground collision while taxiing at Orlando Executive Airport, Orlando, Florida. Both airplanes were registered to Orlando Aero Club Incorporated. N9346D was operating as a 14 CFR Part 91 personal flight and N54729 was operating as a 14 CFR Part 91 instructional flight. Visual meteorological conditions prevailed at the time and no flight plans were filed. Both airplanes were substantially damaged and both pilots reported no injuries. N9346D was initiating a flight at the time of the accident, and N54729 was taxiing back to the ramp after noticing a shimmy in the nose gear. The pilot of N9346D stated that he was cleared to taxi to the active runway via taxiway Alpha. The other aircraft was also on taxiway Alpha heading in the opposite direction and was told to bear right around an island that separates taxiway Alpha and Juliet. The other aircraft remained on taxiway Alpha. The pilot of N54729 stated that she was taxiing on Alpha when the controllers at Orlando Air Traffic Control Tower, ground control position, informed both aircraft to stay as far right as possible. After the collision the controller advised that they had intended for her to be on the right of the island, she did not recall those instructions.