Shapes in Plain Sight

[Korpi]

Rule of <Number>,
In a 3x3 Grid, draw a line in groups of 3:
1-2-3
4-5-6
7-8-9
Follow the same process to recreate the shapes below.

Except the stock photos, all images were made in paint.net

Saturn Square:


Rule of 3:

Jupiter Square:


Rule of 4:

Mars Square:


Rule of 5:

Sun Square:


Rule of 6:

Venus Square:


Rule of 7:

Mercury Square:


Rule of 8:

Moon Square:


Rule of 9:

Additional Shape for the Sun Square:

The Magic Constant of the Sun Square is 111.
Reduce 111 to 3.
111 ÷ 3 = 37
You can draw 18 pairs that equal 37:
1-36, 2-35, 3-34, 4-33, 5-32, 6-31
7-30, 8-29, 9-28, 10-27, 11-26, 12-25
13-24, 14-23, 15-22, 16-21, 17-20, 18-19

Result:

A Numerical Observation of the Planetary Square Numbers:

3 is the Grid-Size
3 x 3

9 is the Sum
3 x 3 = 9

15 is the Magic Constant
All columns up, down, left to right and diagonal equal 15

45 is Grid-size x Magic Constant
3 x 15 = 45

We can present the Planetary Squares as such,

Saturn: 3, 9, 15, 45 -> 72
Jupiter: 4, 16, 34, 136 -> 190
Mars: 5, 25, 65, 325 -> 420
The Sun: 6, 36, 111, 666 -> 819
Venus: 7, 49, 175, 1,225 -> 1,456
Mercury: 8, 64, 260, 2,080 -> 2,412
The Moon: 9, 81, 369, 3,321 -> 3,780

72 + 190 + 420 + 819 + 1,456 + 2,412 + 3,780 = 9,149

9,149 -> 23 -> 5

Now we reduce the above sequence like so,
Saturn: 3, 9, 15(1+5), 45(4+5)
-> 3, 9, 6, 9 -> 27

The reduced sequence,

3 9 6 9 -> 27
4 7 7 10 -> 28
5 7 11 10 -> 33
6 9 3 18 -> 36
7 13 13 10 -> 43
8 10 8 10 -> 36
9 9 18 9 -> 45

27 + 28 + 33 + 36 + 43 + 36 + 45 = 248

248 -> 14 -> 5

The twice-reduced sequence (root numbers),

3 9 6 9 -> 27
4 7 7 1 -> 19
5 7 2 1 -> 15
6 9 3 9 -> 27
7 4 4 1 -> 16
8 1 8 1 -> 18
9 9 9 9 -> 36

27 + 19 + 15 + 27 + 16 + 18 + 36 = 158

158 -> 14 -> 5

Each sequence reduces to 5.
There are 3 sequences.
555.