• 1 1. Gravity
• 2 2. Platonic solids
• 3 3. Surfaces
• 4 4. Flatness
• 5 5. 3D vision
• 6 6. Eight legs
• 7 7. No need for bridges

In 4D, gravity is now 1/r³

In 4D, instead of there being five platonic solids like 3D, there is a sixth one called the 24-cell

5D and beyond have only three platonic solids

In 4D, surfaces are 3D, even the ground is 3D, and holes would be 3D

In 4D, 3D objects are flat

In n-dimensions, n-1-dimensions are flat

And this is because a whole dimension is unoccupied

In 4D, beings will likely percieve the world in three dimensions

Don't start me with "wE cAn aLrEaDy sEe 3d"

Humans see the world in 2D, then our brains construct 3D-ness

But if you ACTUALLY LOOK AT YOUR VISION FOR ONCE, there are two visible axis, but there is always one direction perpendicu…

Funny how 16 is an 8-cell number and 8 is a 16-cell number

1. 1
2. 5
3. 15
4. 35
5. 70
6. 126
7. 210
8. 330
9. 495
10. 715

1. 1
2. 16
3. 81
4. 256
5. 625
6. 1296
7. 2401
8. 4096
9. 6561
10. 10000

1. 1
2. 8
3. 33
4. 96
5. 235
6. 456
7. 833
8. 1709
9. 2274
10. 3400

FRACTALS BE LIKE: /J

• Binary- 0.1
• Ternary- 0.1
• Quaternary- 0.2
• Quinary- 0.2
• Heximal- 0.3
• Septimal- 0.3
• Octal- 0.4
• Nonary- 0.4
• Decimal- 0.5
• Undecimal- 0.5
• Duodecimal- 0.6
• Tridecimal- 0.6
• Tetradecimal- 0.7
• Pentadecimal- 0.7
• Hexadecimal- 0.8
• Heptadecimal- 0.8
• Octodecimal- 0.9
• Nonadecimal- 0.9
• Vigesimal- 0.A

1000 edits- 3rd April 2026

2000 edits- ?????

50 posts- ?????

75 posts- ?????

Thread mod- ?????

Content mod- ?????

Admin- far out of reach bruh

Berucrat- 21st October 1391

How to multiply your head

Times the ones places (remember the number)

In AB x CD, do B x D

Times A x C x 100

Add it with your step 1 result

Times A x D and B x C

Add those two results together and times it by 10

Add that to the rest of it

Step 4

I DONT LIKE TITLES ANY MORE /J

• 1 Why why why?
• 2 Metric versions
  • 2.1 Decimal Time
  • 2.2 Gradian angles

Basically time is a Babylonian measurement, invented by the Babylonians who used a positional base-60 system, this means the radix was 60 so each digit was a progression of the powers of 60, and they had digits ranging from 0-59, and my brain was 60 years old /J

One minute was defined to be 1/60 of an hour, 60 seconds, and one hour was 1/24 of a day, which would make sense in a base-60 world, furthermore a day was estimated such that ~360 of them make a year, 360 also had many factors as of being a Highly composite number and a Superior highly composite number, so they decided to cut up a circle to approximate the Earth's orbital as ~1°/day, this was then known as the standard way to…

Yeh I had to do this cuz base-10 is BORING /J

• 1 11
• 2 12
• 3 15
• 4 16
• 5 19
• 6 20
• 7 22
• 8 24
• 9 30
• 10 36
• 11 40
• 12 100
• 13 144

• El
• Elve (made by me, derives from elven)

• Dozen

• Rek (made by me)

• Sedena (made by me, derives from Sedenion) ERROR 404 PAGE NOT FOUND

• Frox (made by me)

• Vigesa
• Icos
• Score

• Dell (from the Argam numerals)

• Cadex (from the Argam numerals)
• Tezen (made by me)

• Trigesa
• Triaconta
• Kinex (from the Argam numerals)

• Nif (made by Jan Misali from YT)
• Feta (made by Jan Misali from YT)
• Exent (from the Argam numerals)

• Kinoct (from the Argam numerals)
• Quargy (made by me)

• Cent
• Hecto

• Gross (EWWWWW) /J

OOOO ID THIS GONNA BE SO EPIC

• 1 Step 1
• 2 Step 2
• 3 Step 3
• 4 Step 4

Memorise the y times table in base-x

Divide your base-x number by y persistently until you collect all the remainders

The first remainder is the ones, the second is the 10_y place, etc.

Order the remainders that way

Bye bye *runs off*

WOWIE

• 1 Step 1
• 2 Step 2
• 3 Step 3
• 4 Step 4
• 5 Step 5
• 6 Step 6

Find out how many 37s in your number

Find out how many ones are left over

Multiply your remainder by 27

If your number has two digits, add a zero in the hundreds place

Make the three digits recur and thats it

I said thats it

Why are you still reading, I said thats it

ok ok fine ._.

Dunno if anyone has made this observation but I dont care, gimme the credit /Joke /LightHearted

I have made an observation of the prime factorisations of the HCN, I call this "Prime Replacement"

I started out realising this by seeing that in the prime factorisation, there is a lot of prime factorisation of a factor being replaced by the subsequent number's factorisation

On the normal regular wikipedia, the HCN page does say:

"Note that although the above described conditions are necessary, they are not sufficient for a number to be highly composite. For example, 96 = 2⁵ × 3 satisfies the above conditions and has 12 divisors but is not highly composite since there is a smaller number (60) which has the same number of divisors." -Wikipedia, 30th …

You might have seen images of tesseracts on the internet (esp the cube-in-a-cube model) and thought "NONONO THAT IS A 3D PROJECTION" without actually understanding the shape

Yeh thats what were gonna get to down here

I will help you think BEYOND your tiny brain /LH

Many arguments for why we cant visualise 4D stem from "we can only see 3D" altho in reality this is not true, check your eyes for confirmation

Everything we see is just a 2D projection of a 3D world on our retina (which is 2D), we can see two dimensions fully at once and this is because the direction we are facing (our line of sight) is perpendicular to our eyes, meaning anything consisting of a dimension within our line of sight will be pointing away from us and appear one dimensio…

YO

• 1 Step 1
• 2 Step 2
• 3 Step 3
• 4 Step 4
• 5 Step 5
• 6 Step 6
• 7 Step 7

How many seventeens can your number make?

How many ones are left over? (again and again and again and again, the important bit)

Remember this super-long and absurd pattern (idk):

0 5 8 8 2 3 5 2 9 4 1 1 7 6 4 7

Multiply your remainder by 6

If your number is from 1-50, subtract 1

If your number is from 51-100, subtract 2

Find your 2 digit number in the pattern, both digits should be together

Continue the pattern from the 2 digits

Make it 0. that recurring

Put the number of seventeens infront of it

Enjoy eating your new number /J

LETZ GO

• 1 Step 1
• 2 Step 2
• 3 Step 3
• 4 Step 4
• 5 Step 5
• 6 Step 6

How many thirteens can your number make?

How many ones are left over? (the important bit)

Multiply the remainder by 7 and then 11

You can times it by 77 at once but 7 then 11 is easier, haha!

Subtract one from your new number

Keep that number, then make a second number that is 999 subtract your original number

Add a zero in the hundreds if one of the numbers has 2 digits

Your number should look like

Number of thirteens + (the number you got first/1000) + (the number you got last/1000000)

Here we go this is now your homework ig /J

• 1 Step 1
• 2 Step 2
• 3 Step 3
• 4 Step 4

Remember this order:

1 4 2 8 5 7

How many fourteens can you divide out of your number?

And how many ones are left over? (the important bit)

Multiply the remainder by 7

If the result is 49 or greater, add one

If the result is 98, change it to 100

Check the last digit UNLESS if your result is 50 or 100

The last digit should otherwise be one of the numbers in the '1 4 2 8 5 7' pattern

Continue that pattern at the last digit so it repeats

If your result is 50, add 0.5 as the decimal part

If your result is 100, you dont need a decimal part so just add one to your number

two: Last digit even

three: Last digit 3 or 0

four: Last two digits are divisible by 4

five: Digits add to 5

six: Last digit 0

seven: Alternating sum of digits add to a multiple of 7 or 0

eight: Last three digits are divisible by 8

nine: Last two digits 13, 30, 43, or 00

ten: Number should be divisible by 5 and divisible by 2

eleven: Double the last digit, add it to the remaining digits as if they were a new number, and result must be divisible by eleven

twelve: Last two digits 20, 40, or 00

• 1/2 = 0.3
• 1/3 = 0.2
• 1/4 = 0.13
• 1/5 = 0.1
• 1/6 = 0.1
• 1/7 = 0.05
• 1/8 = 0.043
• 1/9 = 0.04
• 1/10 = 0.03
• 1/11 = 0.0313452421
• 1/12 = 0.03

Complex plane

Japanese mathematics, often referred to as Wasan (和算), is a distinct mathematical tradition that flourished in Japan, particularly during the Edo period (1603-1868), when the country was largely isolated from Western influences. The term "Wasan" was coined in the 1870s to differentiate native Japanese mathematics from Western mathematics (yōsan) that was introduced after the Meiji Restoration.

Here are some key aspects of Japanese mathematics (Wasan):

Decline of Wasan: With the Meiji Restoration in the mid-19th century, Japan opened up to the West and adopted Western mathematical techniques. This led to a decline in interest in Wasan, as Western mathematics became the standard for education and research. However, Wasan's legacy, particularl…

2

Comment down below!

Is... 9 + 10 = 19 or 21!!!!!!

WHAT DO YOU THINK?!!

Bài 3. Tính đạo hàm cấp n của các hàm số sau:
1.

List equations below that are mathematically impossible to solve!

Hey guy you know fourth dimensions right?

But i am wonder is fourth dimension is real?

no, seriously we all know all dimension like:

• First dimension (No space and time)
• Second dimension (Short space and time)
• Third dimensions (Full & perfect time and space)
• Fourth dimension (Infinty time and space)

There is also Fifth dimensions and Sixth dimensions but because is doesn't make sense about of infinty space and time and because is a fictional dimension so is doesn't make sense for math

but if fourth dimension is real, what will happened to us

well we will probaly get in trouble with the earth and is caused some problem:

1. Fourth dimension = same universe and never can't get out of the universe
2. fourth dimension = voyager 1 will stuck in oort cloud forever…

Do you think math is hard? Well, it's actually really easy! Let's learn about addition. Addition is easy, follow Ex. 1

Ex. 1:

411

+376

___

787

Did you see what we did? Well we added up the digits and got 787, wow!

Ex. 2:

8,927

+1,009

____

9,936

Wait, what? How is 2+0=3? Well, it's simple, it's because of carrying. Carrying is when the digit that is right 1 digit overflows, where there is not enough digits to use.

Ex. 2.1:

8,927

+1,009

____

9,920

16

____

9,926

It's time for you to practice!

Pr. 1:

16

+21

__

??

Pr. 2:

344

+519

___

???

Pr. 2.1:

344

+519

___

???

??

___

???

This is the end of the lesson, bye!

As many who are into recreational mathematics may have heard about, there is a certain class of numbers which defies all intuition even among those who have worked with the likes of the infinitesimals found in calculus or the transfinite ordinals and cardinals contained within set-theory. These numbers are truly so out of this world they have been called surreals for a reason.

When researching surreal numbers however, a friend wished to know how they are related to games of Hackenbush. Frankly I've always more interested in trying to understand the technical definition of surreals than with some stick-figure game, but putting all hesitancy to the wayside, I will explain how both work to form the marvelous class of numbers John Horton Conway ma…

快三和值大小单双回本技巧【薇：79376752分享稳赚精准计划回血方案】【备用薇：56616737】如果你是刚刚玩，我来教教你，如果你已经玩很久了，却不稳，我来拉拉你，如果你已经遍体鳞伤，我来帮帮你。

This article is a continuation of Intermediate mathematics

• 1 Equivalence relation
  • 1.1 Modular arithmetic
• 2 See also
• 3 References

From Wikipedia:Equivalence relation:

An Equivalence relation is a generalization of the concept of "is equal to". It has the following properites:

• a}} (reflexive property),
• if b}} then a}} (symmetric property), and
• if b}} and c}} then c}} (transitive property).

As a consequence of the reflexive, symmetric, and transitive properties, any equivalence relation provides a partition of the underlying set into disjoint equivalence classes. Two elements of the given set are equivalent to each other if and only if they belong to the same equivalence class.

Back to top

From Wikipedia:Modular arithmetic :

Modular arithmetic can be handled mathe…

• 1 Positive numbers
  • 1.1 Addition
• 2 Further reading
• 3 References

See

• Introductory mathematics

This article is a continuation of Elementary mathematics

Believe it or not the basis of all of mathematics is nothing more than the simple function.

Next(0)=1

Next(1)=2

Next(2)=3

Next(3)=4

This defines the . Natural numbers are those used for counting.

These have the very convenient property of being . That means that if a

Just curious what is your sexual orientation

We should create a discord server

We can first start out by simplifying adding all previous numbers to the current number.   If you want to solve 1+2+3+4..........+n, an equivalent way to solve this is, (n+1)(n/2).  Examples:  1+2+3 = 4*1.5 = 6, and 3+2+1 = 6.   1+2+3+4 = 5*2 = 10, and 1+2+3+4 = 10.  

Now, summing 1+2+3+4+5+6.......+∞ = (∞+1)(∞/2) = w*(∞/2) = w + ((1/2*w)-0.5) ~(approx) w+(w/2).  Therefore, 1+2.........+∞ is NOT = -1/12.

Successorship is adding one to any number.

As an example, n+1.

Adding one is just moving one place to the right on a number line.  

n+1 is always equal to n+((1/n)*n)

Some examples:

1.)  (S)3 = 3+1 = 4

2.)  (S)4 = 4+1 = 5

Using repeated successorship will grant you the opportunity to use addition, or just repeated successorship.

The plex count has similar notation as log, but it is right above the exponent.

• 1 Levels
  • 1.1 Level 1
  • 1.2 Level 3
  • 1.3 Level 4

Addition and subtraction take up this space.

Transformation from Level 1-Level 2:

Exponents, roots, logs...

Thansformation from Level 3-Level 4:

7^7^7^7^7^7^7=7th plex 7

Plexes, arc plexes...

The third plex of x is x^x^x^x.

The 4th arc plex of x is the number that you had run through 4th plex to arrive at x.

Ex. 2nd arc plex of 27 is 3.

Please comment below on shortcut math one can use to find arc plexes!

• 1 Rules

Clifford algebra is a type of algebra characterized by the geometric product of scalars, vectors, bivectors, trivectors...etc.

Just as a vector has length so a bivector has area and a trivector has volume.

Just as a vector has direction so a bivector has orientation. In three dimensions a trivector has only one possible orientation and is therefore a pseudoscalar. But in four dimensions a trivector becomes a pseudovector and the quadvector becomes the pseudoscalar.

All the properties of Clifford algebra derive from a few simple rules.

Let

Im new and has I see this wiki needs some help and I’m gpong to help it!

Did I win?

Proof that there is morw irrationals than integers.

Proof:

Suppose you did make a list (assume it is only the irrationals from 0-1). Lets give the first numbers on the list,
1:0.5743857926410654136534629...
2:0.5785605674106541650460134...
3:0.1332538518354568254625486...
4:0.0000000000000000000000000...(After one trillion digits, there is a one)
I can create a number that in not on the list.
The first digit is 0
0.
The next is the first number's 10s on the list +1. (If it is 9, make it a 0.)
0.6
The next is the second number's 100s on the list +1.
0.68
Then, it continues.
0.684167836728460162738462868...
The number is not on the list.
How about the 383rd number?
0.684167836728460162738462868...
It can't be since the number's 383rd digit is different from t…

Coding blog //Post how to make this better in the comments.

Help the physics wiki!!! Please join and help it!!!

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

• 1 See also
• 2 External links
• 3 References

Science is a wonderful thing if one does not have to earn one's living at it. One should earn one's living by work of which one is sure one is capable. Only when we do not have to be accountable to anybody can we find joy in scientific endeavor. -Albert Einstein

This article is a continuation of Introductory mathematics

It has been known since the time of that all of geometry can be derived from a handful of objects (points, lines...), a few actions on those objects, and a small number of . Every field of science likewise can be reduced to a small set of objects, actions, and rules. Math itself is not a single field but rather a constellation of related fields. One way in which new fields are created is by …

1. Evaluate , where y represents his verticle distance above the ground and x represents horizontal distance away from the cliff, both in meters. What is the lenght of Bieber's fall?
   b) What does Beethoven think of all this ( ͡° ͜ʖ ͡°) ?

                                             Symmetry In Mathematics 

Symmetry in Mathematics Play A Great Role 

If we square 11, it is very simple put 1(2*1)(12)get 121 same as square 12 put 1(2*2)(22) get 144 again for 13 we get 169 and for 14 we get 1 8 16=196 and so on.

When we go deep, we find that there is symmetry of two types

(2,4,6,8,10,12 ,14,16,18,20 …. Diff is always 2) &

(1, 4 , 9 ,16,25,36,49,64,81,100 ) diff. is 3 5 7 9 11 13 15 17 19 and diff. of 3 5 7 9 11 always 2, so there is True Symmetry .

Up to 19 it is right but at 20 how we can put 1 20 100 just because of symmetry.

• 112 = 1 2 1
• 122 = 1 4 4
• 132 = 1 6 9
• 142 = 1 8 16 = 100 + 80 + 16 = 196
• 152 = 1 10 25 = 100 + 100 + 25 = 225
• 162 = 1 12 36 = 100 + 120 + 36 = 256
• 172 = 1 14 49 = 100 + 14…

• 1 Definitions
  • 1.1 Algebra
  • 1.2 Arithmetic
  • 1.3 Calculus
  • 1.4 Geometry
  • 1.5 Mathematics
  • 1.6 Trigonometry

n - The study of statements of relations.

n - The study of numbers and their properties.

n - The study of change.

n - The study of measurement, figures, and shapes

n - The study of numbers, shape, space, and change.

n - The advanced study of triangles and angles.

Join us on Art Of Problem Solving wiki! There are tons of stuff going on! We already have 10 contributors! Become part of staff! And more! Join art of problem solving wiki, now.

Address:

art-of-problem-solving.wikia.com/wiki/Art_Of_Problem_Solving_Wiki

After reading your article on Rounding, I see that you do not have much information regarding the floor function. I've been working with it on my own for a few years and recently I decided to compile my collective knowledge into one document. I would like to propose that the math wikia add some of the floor function information to the wikia. It's reasonably easy to understand (at least, in my opinion). I know it isn't really filled out too much, but let me know what you all think.

Thanks

-The Great Duck