I think what you are seeing is normal. It's just a question of teaching you brain to ignore (or reduce) the input from the other eye, even when it is open.
Try this as an explanation of what you're seeing.
Take a sheet of 8 1/2 X11" paper, draw a single light line down the center from top to bottom of the long (11 1/2" side). This should be as faint as possible a line.
Now mark 2 spots on one edge about 2" apart, on 1" on each side of the line.
Measure & mark a cross hatch on the faint center line, one 2" in from the edge with the dots & another 3" further in than that.
Get some colored pencils, pens or whatever in 3 different colors, say red green & blue.
Pick a color, any color & draw 2 lines. One from the left dot through the 2" in cross hatch, and on to the far edge of the paper, now draw a second from the right dot.
Change colors & do the same again, but passing through the cross hatch 5" in.
Do a third colored set from the dots to the point where the faint center line cuts the far edge of the paper.
Notice anything? The colored lines intersect & diverge depending on where you have them meet. Kind of like the optical phenomenon you're describing isn't it?
What you need to do is train yourself to pay less attention to the "other" set of images, & the tapes, fuzzy patches & so on will help you do this without effecting everyday use of your eyes.
Try this as an explanation of what you're seeing.
Take a sheet of 8 1/2 X11" paper, draw a single light line down the center from top to bottom of the long (11 1/2" side). This should be as faint as possible a line.
Now mark 2 spots on one edge about 2" apart, on 1" on each side of the line.
Measure & mark a cross hatch on the faint center line, one 2" in from the edge with the dots & another 3" further in than that.
Get some colored pencils, pens or whatever in 3 different colors, say red green & blue.
Pick a color, any color & draw 2 lines. One from the left dot through the 2" in cross hatch, and on to the far edge of the paper, now draw a second from the right dot.
Change colors & do the same again, but passing through the cross hatch 5" in.
Do a third colored set from the dots to the point where the faint center line cuts the far edge of the paper.
Notice anything? The colored lines intersect & diverge depending on where you have them meet. Kind of like the optical phenomenon you're describing isn't it?
What you need to do is train yourself to pay less attention to the "other" set of images, & the tapes, fuzzy patches & so on will help you do this without effecting everyday use of your eyes.