Category:4-ary Zhegalkin indices in 16-cube matrix; great principalities; with entries on diagonal

This category is an image set. It should contain only images that have the same style, and should have a parent category that is purely topical.

This is a non-diffusing subcategory of 4-ary Zhegalkin indices in 16-cube matrix; great principalities.
Its content is here, but also in the parent, or its subcategories. (See explanation on Wikipedia.)

3-ary (4)	4-ary (20)	great principalities with entries	on diagonal (related to patron dominions)
3-ary (4)	4-ary (22)	great principalities with entries	in top row (related to patron principalities)

The following 20 (of 272) great principalities contain Boolean functions whose Zhegalkin indices are symmetric binary numbers:
[0, 6, 24, 40, 126, 278, 298, 606, 1656, 10378, 10460, 10652, 10922, 10964, 11004, 11196, 11468, 11492, 15560, 16104]
They are on the main diagonal of the 256×256 matrix. Their positions on it are shown in a 16×16 matrix.

The 16×16 matrices show a relationship to the truth tables of 3-ary dominions. Each one is indicated by the small king index.
The red/blue entries correspond either to their red/green (polite) or blue/yellow (rude) entries. (See the rude pattern.)

faction size 1 king index 0 1 square on diagonal polite small king index 0
	small king index 0

faction size 5 king index 10922 1 square on diagonal rude small king index 0
	small king index 0

faction size 20 king index 11196 4 squares on diagonal rude small king index 22
	small king index 22

faction size 5 king index 278 5 squares on diagonal polite small king indices 22 and 104
	small king index 22	small king index 104

faction size 5 king index 16104 1 square on diagonal rude small king index 104
	small king index 104

faction size 20 king index 11468 4 squares on diagonal rude small king index 42
	small king index 42

faction size 10 king index 126 10 squares on diagonal polite small king indices 14 and 42
	small king index 14	small king index 42

faction size 30 king index 10964 6 squares on diagonal rude small king index 14
	small king index 14

faction size 15 king index 40 3 squares on diagonal polite small king index 6
	small king index 6

faction size 15 king index 10378 3 squares on diagonal rude small king index 6
	small king index 6

faction size 15 king index 1656 3 squares on diagonal polite small king index 110
	small king index 110

faction size 15 king index 15560 3 squares on diagonal rude small king index 110
	small king index 110

faction size 30 king index 6 6 squares on diagonal polite small king index 8
	small king index 8

faction size 30 king index 11004 6 squares on diagonal rude small king index 8
	small king index 8

faction size 60 king index 24 12 squares on diagonal polite small king index 2
	small king index 2

faction size 60 king index 10652 12 squares on diagonal rude small king index 2
	small king index 2

faction size 60 king index 298 12 squares on diagonal polite small king index 44
	small king index 44

faction size 60 king index 11492 12 squares on diagonal rude small king index 44
	small king index 44

faction size 60 king index 606 12 squares on diagonal polite small king index 26
	small king index 26

faction size 60 king index 10460 12 squares on diagonal rude small king index 26
	small king index 26

Subcategories

This category has only the following subcategory.

4

4-ary Zhegalkin indices in 16-cube matrix; great principalities; entries on diagonal in octeract matrix‎ (1 P, 20 F)

Media in category "4-ary Zhegalkin indices in 16-cube matrix; great principalities; with entries on diagonal"

The following 20 files are in this category, out of 20 total.

4Z principality; faction size 10; king index 126.svg 1,560 × 1,560; 1 KB
4Z principality; faction size 15; king index 10378.svg 1,560 × 1,560; 1 KB
4Z principality; faction size 15; king index 15560.svg 1,560 × 1,560; 1 KB
4Z principality; faction size 15; king index 1656.svg 1,560 × 1,560; 1 KB
4Z principality; faction size 15; king index 40.svg 1,560 × 1,560; 1 KB
4Z principality; faction size 1; king index 0.svg 1,560 × 1,560; 653 bytes
4Z principality; faction size 20; king index 11196.svg 1,560 × 1,560; 2 KB
4Z principality; faction size 20; king index 11468.svg 1,560 × 1,560; 2 KB
4Z principality; faction size 30; king index 10964.svg 1,560 × 1,560; 2 KB
4Z principality; faction size 30; king index 11004.svg 1,560 × 1,560; 2 KB
4Z principality; faction size 30; king index 6.svg 1,560 × 1,560; 2 KB
4Z principality; faction size 5; king index 10922.svg 1,560 × 1,560; 857 bytes
4Z principality; faction size 5; king index 16104.svg 1,560 × 1,560; 879 bytes
4Z principality; faction size 5; king index 278.svg 1,560 × 1,560; 909 bytes
4Z principality; faction size 60; king index 10460.svg 1,560 × 1,560; 4 KB
4Z principality; faction size 60; king index 10652.svg 1,560 × 1,560; 4 KB
4Z principality; faction size 60; king index 11492.svg 1,560 × 1,560; 4 KB
4Z principality; faction size 60; king index 24.svg 1,560 × 1,560; 4 KB
4Z principality; faction size 60; king index 298.svg 1,560 × 1,560; 4 KB
4Z principality; faction size 60; king index 606.svg 1,560 × 1,560; 4 KB

Category:4-ary Zhegalkin indices in 16-cube matrix; great principalities; with entries on diagonal

Subcategories

4

Media in category "4-ary Zhegalkin indices in 16-cube matrix; great principalities; with entries on diagonal"

Navigation menu

Search