Terms
New Terms
Some terms used on this site:
- adjacent corner paired
- the cells of each
complement pair touch at a cell corner
- adjacent side paired
- the cells of each
complement pair touch at a cell side
- back diagonal, forward diagonal
- back diagonal: main diagonal with top to the left, (leans back)
forward diagonal: main diagonal with top to the right, (leans forward)
by analogy with backslash \ and forward slash /
- borders
- the border of the square and the border of each concentric subsquare
- border paired
- each border consists of complement pairs
- octant boundaries
- for odd order: the middle row, middle column, and main diagonals
for even order: the two middle rows, two middle columns, and main diagonals
- middle symmetric
- of octant boundaries: symmetrical about the middle,
(see Notes)
- octant
- any of the 8 divisions of the square between the octant boundaries,
not including the boundaries
- octant paired
- border numbers in all the octants combined are complement pairs
- symborder
- octant paired with middle symmetric octant boundaries
- square side
- top or bottom side of the square not including the middle row(s), or
left or right side of the square not including the middle column(s)
- opposite paired
- octant paired with the complement pairs on opposite square sides
- side paired
- octant paired with the complement pairs on the same square side
- symmetric side paired
- side paired with the complement pairs symmetric about the center
of the row or column
- symlateral
- symmetric side paired with middle symmetric octant boundaries,
(for even order, these can be only near-symlateral,
see Even Note)
- hybrid
- having side to side characteristics of two square types, for example:
Odd Note:
For odd order square boundaries, this is the same as center symmetric.
Even Note:
For even order squares, in the 2x2 center not all rows, columns, and main
diagonals can be middle symmetric. For the ones that are not, the containing
boundary must contain another pair of cells that are not complementary.
This is required so that the total of the four cells is the sum of
two complementary pairs.
So, for all even order squares, up to eight pairs have be placed
non-symmetrically for some boundary.
If you know of other terms for these features or different uses of these terms,
please send an email to sharrywhite@budshaw.ca.