Here's an example of colour inversion. The illustration is from a font experiment I worked on in 2008 or 09. I picked an extra large blank bitmap image with a 3:1 ratio of height to width. I drew straight lines at various different line slopes. When the line reached the edge of one side, it continued on the other. If the line reached the top of the page, it continued on the bottom. the line continued to 'orbit' the image until the start and end point connected.
The line with a slope of 3:1 had exactly one orbit. The horizontal and vertical lines just went from top to bottom of right to left once. Other line slopes orbited a different number of times, bepending on the ratio between the line slope and the 3:1 orientation of the page. Here's what it looked like at that point. but keep in mind that the image is larger than what will be displayed:
View attachment 667840
Next I randomly selected an enclosed polygon shape, and used red colour fill. I continued to do that until no two adjoining sections were the same colour, similar to on a checkerboard. Step 2 was this:
View attachment 667841
The next step was to invert the colours. That was a two second task with the XP version of MSPaint. The image above looked like the one below after colour inversion:
View attachment 667842
I could also flip the image horizontally or vertically. The full sized image could be chopped into 27 square pieces of equal size, equivalent to the number of letters in the alphabet, plus one other glyph cell.
I have described the above as 'a checkerboard as viewed through a kaleidoscope with a broken lens. The project was named Schizophrenia, but I am not so afflicted, That's just a name for a fonts family which hadn't already been used by someone else.
The 27 individual pieces could be typed in sequence to recreate the source graphic, in scalable vector form. The individual pieces could also be typed in a random sequence, or as a message which was text, but would appears to not be so. In an MSWord Doc, I could type
ABC
DEF
GHI
JKL
MNO
PQR
STU
VWX
YZ#
to recreate the source image. If I typed those same key stokes in a different sequence, the result would look inintelligible.
By inverting the colours and by flipping them horizontally or vertically, it was possible to create an image which would gave one picture which could connect seamlessly if it was printed and the top and bottom edges or the left and right edges were joined. Effectively multiple fonts could be tiles together in a huge image, perhaps with one side being the mirror image of the other.
This is a rough attempt to visualize the multi-font tiling, not entirely successful, but almost there:
View attachment 667843
In monochrome, the multifont tiling would look like this:
View attachment 667844
I completed three of the fonts before starting another project instead. It would take skills I did not have in 2008 to do this correctly. There is some possibility that I may complete this at some time in my remaining lifetime, but I doubt it. It has no commercial value of any kind. It's just an example of 'thinking outside of the box', food for thought as inspiration to someone else who would never have considered doing something like this.
The only reason I did this was because it had never been done before.
I retired early, (age 39), when I had acquired enough assets to live within my means. My time was more valuable to me than playing politics in the acquisition game.
I had successfully achieved composite images created from tiling four glyphs together in my font KleinKarpets, completed about five months after my first crude attempts. Some of my early fonts from 2007 work fine with Windows XP, but not with later operating systems. Rodolphe, the owner of dafont, told me that "they caused the blue screen of death when viewed with Windows Vista when cleartype is enabled"
Rodolphe was able to use KleinKarpets, but only by splitting the font into two, using only upper case letter glyphs. The problem related to the memory use needed to display the "The quick brown fox jumps over a lazy dog" panagram at various sizes. With only the upper case used, only the one capital letter would be displayed when the font was viewed in preview.
Here's a link to KleinKarpets,
KleinKarpets Font | dafont.com
www.dafont.com
a free download and free for any use. It may have been referenced in some long out of print hard cover book of interest to only a few people. Luc Devroye recognized what I was attempting to do, and was my main supporter. He's a professor of Mathematics and Computer Sciences at McGill University. His specialty is in predicting prime numbers which haven't yet been discovered. I gave him my 'hunch theory' of where to look, and he told me what the name of it was. Someone else had independently thought of the same thing as I had, but the other guy thought of it first, and he likely studied math beyond the high school level.
KleinKarpets uses only a few different source images, with 8 gylphs per source image, covering the various ways it can be rotated 90, 180, 270 and 360 degrees and again after having been flipped horizontally. The rendering isn't up to my current standards, but it was a decent effort for someone who had been making fonts for only a few months. I don't know of anyone who has done this before or since. I might make another one, using different images and more skills, if I live long enough.
Re: your comment about my acting weird: I have add sleep cycles. In the summer months, I sleep about 11 hours per day, usually in 3 3-4 hour sessions. In winter, I sleep about 5 hours a day. Right now I'm in transition between seasons, and I may have had an average of two hours' sleep for the past few days. This pattern started around 1990, shortly after I had a vaccine booster shot from a childhood vaccination. The two events might be coincidental, or maybe not. I don't know. I DO, know, however, or three people I know who appeared to be significantly less intelligent after having had the flu vaccine. Two were former students of mine when I was a volunteer computer tutor. The other was an online friend I knew in 2016 from when I posted comments on th*d*rt*d*tc*m. She successfully deciphered a coded message, enabling her to communicate with me off board though private messaging on dafont(dot)com, where I am a forum moderator with no remuneration, and no assigned duties. I just have some priviliges that other members don't, (access to the mods forum, display of members' IP addresses, operating system, browser, etc.), and I can hide or nuke spam posts or ban a member from forums, but a staff mod can override me.
I just write a lot when I'm unable to sleep. It's more constructive use of my time than watching YouTube shorts or rubbing one out. I'm often playing RISK on Steam at 4:40 AM. Yesterday I defeated a Grandmaster frequently ranked in the top 20 worldwide. I used tactics I hadn't used before, and he hadn't seen. He and I have played before, and he plays 'clean', without advantages from the outset based on the options selected by the game host. He's in Argentina, and he and I will play again; but he'll have had the experience of having seen what I did, and maybe he'll use it in a different game against some other top ranked player, We've never directly communicated with each other, but I don't doubt that he's seen my nickname on page 1 of the leaderboard alongside his more than once. We had played against each other in a six player game a few days earlier, Two opponents had tried and failed to eliminate me from the game, expending all of their troops in the process, but leaving me with my capital and little fortification. On his turn, he could have eliminated me first, but he took them out before me, allowing me to claim 3rd place.