When given a lone Myopia Arrow cell, all adjacent cells in the directions that the Myopia Arrows do not point to must be the same color as the Myopia Arrow's cell.




When all the Myopia Arrows of a given cell point to a cell of the opposite color and that cell is known to be the closest, all other directions must be filled with the same color as the Myopia Arrow's cell to the length of the cell of the opposite color (in this example, length 4, which incidentally is to the edges of the grid).




When one arrow from multiple Myopia Arrows has a closest cell it points to, all the other arrows must also point to that same cell as its closest.


All Myopia Arrows MUST point to some cell of the opposite color! Therefore, if there is only one space open in front of a Myopia Arrow and all the other spaces are the same color as the Myopia Arrow's cell, it must be the opposite color.

Armillary Rings

• When the angle between two gold rings is small with little to no overlap, a needlepoint solution that requires a fairly specific location is to be expected.
  
• When the angle between a gold ring and a dark ring is small with much overlap, a needlepoint solution that requires a fairly specific location is to be expected.
  
• Try to avoid "convexities" for gold rings, as this is an indicator that a ring is outside of such a viewpoint.

Skydrops

• The pearls are always laid out along a cone. Look for smaller pearls and line them against larger ones.

Matchboxes

• If a Matchbox is on a structure, even a natural one such as a tree, look all around said structure first before looking elsewhere (i.e. more remotely). Chances are it may just be on the other side of the wall, floor, or ceiling!

Sightseers

• Experience and familiarity are the best teachers — it takes time to become familiar with the vast Auroral Lands. If you pick up a Sightseer and don't immediately recognize the location, don't expect to get a (big) bonus.

Wandering Echo

• Stay hot on a Wandering Echo's tail at all times until it stops.
  
• The hardest Wandering Echoes are those that move up in altitude and there's no rift nearby to lift you. If a Wandering Echo does such a thing, be prepared to do some platforming trickery. With experience and familiarity, the platforming becomes easier.
  
• Also, do not despair if you lose the echo (and any associated bonus), for the route can be learned.

Glide Rings

• There is no time pressure. Unlike the Flow Orbs, the Glide Rings are never races!
  
• Aim for the center of each ring to maximize your score.
  
• Study the course before jumping off the starting platform.
  
• You have full strafing control while flying. Use this to your advantage.
  
• Also, you can deactivate and reactivate your wings as needed, as well as touch rifts to get a height boost. All that's required is to not touch ground.

Shy Auras

• White Shy Auras can be any other type, so a good general strategy is this: first, fly to (and perhaps above) the aura. If it disappears, slowly crouch-walk backwards toward the aura after it reappears. If it still disappears, stand by it and wait briefly. With some experience, it should be easy to decipher which Shy Aura type a covert (white) Shy Aura is and approach it correctly.

Hidden Cubes

• Commonly hidden in nooks and crannies (i.e. areas with high concavity), or on top of pillars or ledges (for structures).

Hidden Rings

• Common hiding spots include: around trees, inside of structural archways, and on top of statues, as well as high up between high places.

Hidden Archways

• Typically, the archways are hidden off the beaten paths. On the mainlands, rarely are they found sideways, attached to a structure.

Hidden Pentads

• Look around the borders of the bubble first, particularly in any nooks and crannies. Then look up. In particular, check inside any foliage (bushes, trees).
  
• If the bubble encloses a structure, thoroughly examine that structure inside and out.

Pattern Grids

• If no obvious pattern stands out (e.g. a symmetry-based pattern), think about an IQ-test-like rule that might apply, such as inverted colors over a line, or shifting patterns.

Memory Grids

• Don't think too hard about it. Let the pattern flash before your eyes, looking again only if you don't feel fully confident. Acing a memory grid can take practice, particularly if you don't have photographic memory.

Music Grids

• If it's a melody, try to get a feel for it (granted, the less you listen, the better). Acing a music grid can take practice, particularly if you don't have a musical ear.
  
• If it helps, get the upgrades on the skill tree, but don't fret if you don't get a music or memory grid perfectly.

Match 3

• Sometimes a tile will need to propagate to the left or right to form a key match. Be on the lookout for such tiles and focus your efforts around these tiles!

Morphic Fractals

• Be patient. Sometimes the fractal can seem finicky, especially if it's a kaleidoscopic one. Fortunately, only an approximate match is needed.
  
• If there are what look like spiral arms about to come together around a hole, count the number of arms and try to match those first.

Phasic Dials

• Try to align the pentagonal dials last. This is because 5 is a prime number, so spamming any button with such dials may eventually lead to a quick solution.
  
• Try to align the hexagonal dials first. This is because 6 is the product of two primes, one of which is 2, so any further shifts to a hexagonal dial should mismatch in parity with both the 4-dials and the 5-dials, meaning that a button (or two or three) can be spammed to align other dials with it in time.

Shifting Mosaics

• It's easy to get "locked" into a position. Seek out states in the puzzle that will allow for progress of any kind. Often this can feel like cyclically permuting the shapes (after enough tinkering).

Crystal Labyrinths

• The way is clear! You can study the route from the outside before entering.
  
• Often an indirect route is required to reach the rifts. Learn to expect this.

Sentinel Stones

• Where Sentinel Stones cluster, try standing "inside" of the cluster. If that doesn't work, try standing at a distance to the cluster.

Rolling Block

• It's easy to get "locked" into a position with larger blocks. Try to move your block along the edges of the grid as much as possible, so that you'll have room to maneuver in a productive direction.
  
• Working backwards is often helpful.

Post them in the comments below!

Note: I don't have any other Insights for Logic Grid rules atm, such as ones for the new rules added in the April 2024 update.