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@johncarlosbaez Maybe I'm trying not to tell you something.
@tonwood - In that case you would have succeeded.
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Of the 924 ways to choose six segments out of twelve, these 306 are connected.
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Of the 924 ways to choose six segments out of twelve, these 306 are connected.
@tonwood That right here is an alphabet!
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This is very cool!
Here are representatives of the 45 orbits of these figures under the group D_4 (the eight rotations and reflections that are isometries of a square), so no pair of these 45 figures are rotations/reflections of each other.
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@tonwood That right here is an alphabet!
@lisyarus Or rather a syllabary.
My motive in listing these figures was to design a script made from a limited repertoire of elements, without the sameness of Tengwar. And syllabaries are under-represented in fantasy scripts, though they are the most common stage after logographies.
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@tonwood interesting idea to limit it to exactly six. I guess at least that excludes a certain hate speech symbol
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@tonwood interesting idea to limit it to exactly six. I guess at least that excludes a certain hate speech symbol
@Farbs Fixing the number makes for inherent error-detection; and using exactly half maximizes the set of choices (before weeding out the disconnected).
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This is very cool!
Here are representatives of the 45 orbits of these figures under the group D_4 (the eight rotations and reflections that are isometries of a square), so no pair of these 45 figures are rotations/reflections of each other.
@gregeganSF @tonwood
These two sure 𝑙𝑜𝑜𝑘 like mirror images to me... -
@gregeganSF @tonwood
These two sure 𝑙𝑜𝑜𝑘 like mirror images to me...Yes, they are mirror images if you ignore the position of the white space within the square.
So if I was trying to construct, say, a set of unique wooden objects that could be rotated and flipped over, it would only contain one of that pair.
Similarly, the last two figures in the original post’s third-last row look like they are duplicates, but one has a column of white space on the left, the other has it on the right.
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Yes, they are mirror images if you ignore the position of the white space within the square.
So if I was trying to construct, say, a set of unique wooden objects that could be rotated and flipped over, it would only contain one of that pair.
Similarly, the last two figures in the original post’s third-last row look like they are duplicates, but one has a column of white space on the left, the other has it on the right.
@gregeganSF @tonwood I guess I'll leave the "whitespace is significant" to the Python programmers...
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