Area of: Square, Triangle, Circle and Sphere are Related

If base=height on the triangle and that equaled the length in the square, 2T=Sq.
If radius of circle and sphere are the same, 4C=S.
If base and height of triangle are same, if base=5 and the radius in circle=2, areas are similar.
The pattern continues. For every increase in 5 in triangle height, if increase 2 radius, areas remain similar.
In case you didn't figure it out yet, that equals 2.5 to 1. The 1 radius is 3.14. They actually just rounded it modestly. It's actually 3.14159265... Or in other words, π. The triangle with both a base and height of 2.5 have an area of 3.13, just one hundredth from pi!


*KEY*
Sq=Square
T=Triangle
C=Circle
S=Sphere

Baking Soda and Vinegar with Green Food Coloring

I did a science experiment where I mixed baking soda with vinegar. You are probably familiar with this basic experiment of combining acid (vinegar) with alkaline (baking soda). However, I took it even further. I put in the baking soda in my experiment container (a basic jar) and then poured in vinegar. The I added baking soda, then vinegar again... etc. Every time I added the other ingredient the chemical reaction got noticably smaller.

I did another experiment whith the same unwashed glass... only I rinsed out the stuff inside. I put in the baking soda, and dropped in about 6 drops of green food coloring. I tried to mix it in with a spoon, but it wouldn't easily. I poured in the vinegar, and it fizzled and the green coloring concentrated and swirled around in interesting areas. I left it open for about a month. When I came back, the liquid had evaporated, there was the baking soda on the bottom, and on top of the baking soda, there was a broken green crust that looked like the land after a drought, but the cracks were so severe they were completely different pieces. When I poured vinegar onto the baking soda, there was no reaction. I have only one theory of how this could be: When the vinegar evaporated, it left the acid, which cancelled out the alkaline from the baking soda. So, in a sense, I had created baking soda with a neutral Ph! (like water)

Number Palindrome

I found an interesting number palindrome. It works with any number! It's easier with an odd number beggining, as there aren't any decimals, but anything works, even negative numbers! It works like this: Take any number and multiply it by 0. Then take (the number  minus 1) x 0.5 Then (the number minus 2) x 1, and so one, reducing a number on the left by 1 while increasing the one on the right by ½. ***Disclaimer: in negative numbers, start with  the lowest number, then go up by 1 each time, not down. You still raise the right side by ½ however.*** So the rule is really: start with the number farthest from 0 then add/subtract by 1 to get that number closer to 0 every time. The right side of the equation: rules remain the same.

       Positive numbers:

15x0=0             21x0=0         1     Even numbers:

14x0.5=7          20x0.5=10    1

13x1=13           19x1=19       1    4x0=0

12x1.5=18        18x1.5=27    1     3x0.5=1.5

11x2=22           17x2=34       1     2x1=2

10x2.5=25        16x2.5=40    1     1x1.5=1.5

9x3=27             15x3=45       1     0x2=0

8x3.5=28          14x3.5=49    1

7x4=28             13x4=52       +-------------------------------------------------------------------------

6x4.5=27          12x4.5=54    1     Negative numbers:

5x5=25             11x5=55       1

4x5.5=22          10x5.5=55    1     -5x0=0

3x6=18             9x6=54         1     -4x0.5=-2

2x6.5=13          8x6.5=52      1     -3x1=-3

1x7=7               7x7=49         1     -2x1.5=-3

0x7.5=0            6x7.5=45      1     -1x2=-2

                         5x8=40         1      0x2.5=0

                         4x8.5=34      1

                         3x9=27         1

                         2x9.5=19      1

                         1x10=10       1

                         0x10.5=0      1

Step # formula

Double a number and then subtract by the step number to get the original number plus one.

Step #: (Step # + 1) x 2 - Step # = (Step # + 2)

Step 0: 1 x 2 - 0 = 2

Step 1: 2 x 2 - 1 = 3

Step 2: 3 x 2 - 2 = 4

Step 3: 4 x 2 - 3 = 5

Step 4: 5 x 2 - 4 = 6

Step 5: 6 x 2 - 5 = 7

Step 6: 7 x 2 - 6 = 8

Step 7: 8 x 2 - 7 = 9

Step 8: 9 x 2 - 8 = 10

Step 9: 10 x 2 - 9 = 11

And so on...