Old Wounds - S1-E1
Continuity mistake: When the Krill shuttles land, they park on either side of the entrance to Epsilon station, but when the Orville crew are escaping, the Krill shuttles are gone momentarily (during the firefight), only to return to their proper places a moment later as the Orville shuttle takes off. (00:33:40)
Continuity mistake: Lt. Malloy has his lower left leg amputated in Isaac's attempt at practical humor. When they later find the leg, it's not just a lower left leg, but an entire left leg (upper + lower). So either Malloy regrew half a leg in the course of a single night, or they forgot to tell the prop department to only make a lower leg. (00:26:35 - 00:30:20)
Continuity mistake: When Kelly catches up with Ed after he found her with Darulio, again, Ed starts shouting with his right hand up at his mouth, but in the next side shot it's his left hand. (00:14:40)
Continuity mistake: While in the shuttle bay, Dr Finn and her family are preparing shuttle ECV-197-2. During the rest of the show they are flying shuttle ECV-197-1. (00:01:15 - 00:05:20)
Continuity mistake: Bortus bites off a big chunk of a drinking glass on a dare, but when he and the crew leave the dining table, the drinking glass is intact.
Old Wounds - S1-E1
Continuity mistake: When Gordon starts to unpack his bag, he moves the flap all the way over. When John enters the room, the flap is still down, but in the next shot the flap is sticking pretty much straight up.
Continuity mistake: After Bortus bites into the cactus plant, he puts it down on the table twice.
Continuity mistake: When Bortus knocks Kitan into the turnbuckle, her arms slip to the 2nd rope. But in the next shot of her, her arms are now on the top rope.
Continuity mistake: As Seth MacFarlane tells the crew to take things seriously, he's got his hands held parallel to each other. The shot changes and his fingers are interlocked.
Continuity mistake: In the opening, Alara takes a bite with her fork held correctly. When the camera shifts to look at the others, it's upside down as she puts it down.
Continuity mistake: Ed's office is located directly behind the right-hand side of the bridge (ie. the side of Kelly's chair, and Bortus and Talla's stations). Ed's office has a prominent window as well. Yet during the closeup flyby of the bridge in this episode at about 55 minutes, the camera pans past the outer hull of that section and there are no visible windows. At that close range we should be seeing directly into Ed's office. Perhaps the digital model makers forgot there should have been a window there.
Continuity mistake: When the crew is working to disable the device helping Pria to hijack the Orville, the Chief drills a hole and creates a great deal of metal/material shavings on the top of the device, which disappear. The device is also aligned differently in respect to the components of the Orville's circuits from the Chief's drilling shot to Isaac's probing shot. (00:34:21)
Continuity mistake: The remote control device installed into the Orville's circuits is shown several times through the episode. When Isaac is beginning to send his leads into the device the corners of the right end of the device are about 1/2" - 1" past the intersection of various block shaped components of the Orville's circuits. However, just moments prior, when the device is shown in place in the same circuit, the corners of the right end of the device line up perfectly with the corners of those same block shaped circuit components as evident by the slivers of light shining between the very thin slit formed where the two sets of corners align. (00:34:15)
Continuity mistake: During the cold opening scene, Claire's right hand is alternately clasping Ty's left arm or lying flat on the bed as the camera shots change.
Continuity mistake: When Dr. Finn takes the covers off her son, Marcus, the white sheet is still around his legs. It's gone in the next shot, but back on his legs when she kisses him.
Continuity mistake: Malloy's hand instantly goes from pointing at Captain Mercer to open in the next quick shot while they are in the Krill chapel.
About a Girl - S1-E3
Continuity mistake: While Captain Mercer and Commander Grayson are having drinks and conversing. Mercer holds his glass close to his mouth in the frontal shots, but the glass disappears in the shots over his right shoulder.
About a Girl - S1-E3
Continuity mistake: In the shuttle bay, Captain Mercer and Commander Grayson's distance between each other changes between shots as they watch Bortus and Klyden depart on the shuttle.
Continuity mistake: Throughout the episode Bortus and Kelly's uniforms change colour between blue and black and random points, most noticeable in the courtroom scene. (00:54:30)
Continuity mistake: The Xelayan in episode one has no eyebrows, and her nose marks are between her eyes. In episode 2 she has eyebrows and her nose marks are on the bridge of her nose.
Answer: The book "Flatland", which is mentioned in the show, is a real book that may answer your questions in full (it's the story of a 3-D being experiencing the 2-D world and the 1-D world). In the 2-D world, there is no height, so there's no way to slice anything in half (horizontally). A being living in the 2-D world sees any object or being as a line (it's messy, but the lines have thickness, just not height, but all thickness is the same). So if the Orville was seen, it would only be seen 2 dimensionally and be seen as a line and others beings could just move out of the way. While there were buildings in "Flatland", perhaps this world doesn't have any, or the Orville didn't bump into any. There is death in "Flatland" when a being isn't careful and is poked, but these are usually by lines and triangles and the Orville would more like the circles and not in danger of poking anything.
Bishop73