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# Basic Arithmo Rules

## The Basic Concept Behind All Arithmo Puzzles

##### Below are illustrations of how adjacent numbers should be connected in Arithmo puzzles.

## Square grid

### 8 x 12 : 6 = 16

### (8 - 5) x 7 = 21

### 6 x 3 + 5 = 23

## Hexagon grid

## Rhombus grid

## Triangle grid

## Circle grid

The goal is different in each puzzle, but usually it’s finding three connected numbers that equal a certain product, or figuring out which product cannot be found in the grid.

#### Author: admin

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- To find in or insert into a grid three adjacent numbers that when calculated together result in an
**Equa-X.** **Equa and Equa-X**are terms that simply mean the result of a mathematical equation. For example: 2 x 4 -1 = 7**(Equa-7). (**You may also find the words**“product”**or**“target number”**used instead of Equa. Rest assured they all mean the same thing.)- In Arithmo, an equation is made by calculating three adjacent numbers in a grid.
- There are five types of puzzle grid shapes:
**Square, Hexagon, Rhombus, Triangle, Circle**(each game has a diagram illustrating how connections should be made in the grid). - Numbers are calculated in any combination using only addition, subtraction, multiplication and division,
*with or without parenthesis.*

If a combination of arithmetic functions is used, then keep in mind the following order of operations you learned in math class:

Rule 1: *First perform any calculations inside parentheses, if they exist.*

Rule 2: *Next perform all multiplications and divisions*

Rule 3: *Lastly, perform all additions and subtractions*

The order of operation rules are demonstrated in these examples:

(8 – 5) x 7 = 21 (**Equa-****21**)

8 x 12 ÷ 6 = 16 (**Equa-****16**)

6 x 3 + 5 = 23 (**Equa-23**)

11 + 12 ÷ 4 = 14 (**Equa-14**)

Each Arithmo puzzle employs the above basic rules, but it will also have its own set of specific rules. Please read all the rules carefully for maximum enjoyment.

** Square** grids, adjacent numbers are 3 numbers connected** horizontally** (all in the same row, Figure 1), **vertically** (all in the same column, Figure 2), or in an **“L” shape** (Figure 3).

Figure 1: Equa-16 (horizontal)

Figure 2: Equa-21 (vertical)

Figure 3: Equa-23 (L-shaped)

Figures 4 and 5 show **INCORRECT** ways to connect 3 numbers in a Square grid

Figure 4: Incorrect connection in the square grid

Figure 5: Incorrect connection in the square grid

**Hexagon** shaped grid, adjacent numbers are 3 numbers who share a common side that intersect at the black dot (as shown in Figures 6 and 7). In the Figures 8 and 9 are **INCORRECT** ways to connect 3 numbers in a Hexagon grid

Figure 6: Adjacent numbers share a common side in the Hexagon grid

Figure 7: Adjacent numbers share a common side in the Hexagon grid

Figure 8: Incorrect connection in the Hexagon grid

Figure 9: Incorrect connection in the Hexagon grid

**Rhombus** shaped grid, adjacent numbers are 3 numbers who share a common side that intersect at the black dot (as shown in Figures 10 and 11). Figures 12 and 13 show **INCORRECT** ways to connect 3 numbers in a Rhombus grid

Figure 10: Adjacent numbers share a common side in the Rhombus grid

Figure 11: Adjacent numbers share a common side in the Rhombus grid

Figure 12: Incorrect connection in the Rhombus grid

Figure 13: Incorrect connection in the Rhombus grid

**Triangle** grid, adjacent numbers are 3 numbers in the same direction line (Figures 14 and 15). Figures 16 and 17 show **INCORRECT** ways to connect 3 numbers in a Triangle grid

Figure 14: Sample of straight connection in triangular grid

Figure 15: Sample of straight connection in triangular grid

Figure 16: Incorrect connection in the Triangle grid

Figure 17: Incorrect connection in the Triangle grid

**Circle** grid, adjacent numbers are 3 numbers that can be connected in the same ring of the circle (Figure 18), or in the same “slice” of the circle (Figure 19). Figures 20 and 21 show **INCORRECT** ways to connect 3 numbers in a Circular grid

Figure 18: Sample of straight connection in circular grid (same ring of the circle)

Figure 19: Sample of straight connection in circular grid (same slice of the circle)

Figure 20: Incorrect connection in the Circular grid

Figure 21: Incorrect connection in the Circular grid

As long as you know these basics, you’re set to play any Arithmo game

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Основна правила Аритма:

**Да пронађете или убаците у мрежу три суседна броја која када се заједно израчунају резултирају Еквом-X.****Еква и Eква-X**су термини који једноставно значе решење једначине. На пример: 2 x 4 -1 = 7**(Еква-7)**- У Аритму, једначина се прави од 3 конектована броја на мрежи.
- Постоји 5 типова мрежа: Circle, Hexagon, Rhombus, Square, Triangle. Each game has a diagram illustrating how connections should be made in its specific grid.
- Numbers are calculated together using only addition, subtraction, multiplication and division,
*with or without parenthesis.*

If a combination of arithmetic functions is used than keep in mind the following order of operations you learned in math class:

Rule 1: *First perform any calculations inside parentheses, if they exist.*

Rule 2: *Next perform all multiplications and divisions*

Rule 3: *Lastly, perform all additions and subtractions*

The order of operation rules are demonstrated in the examples shown below:

(8 – 5) x 7 = 21 (**Equa-****21**)

8 x 12 ÷ 6 = 16 (**Equa-****16**)

6 x 3 + 5 = 23 (**Equa-23**)

11 + 12 ÷ 4 = 14 (**Equa-14**)

Each Arithmo puzzle employs the basic rules, but it will also have its own set of specific rules. Please read all the rules carefully for maximum benefit and enjoyment.

Arithmo Basic Rules:

- To find or insert in a grid three adjacent numbers that when calculated together result in an
**Equa-X.** **Equa and Equa-X**are terms that simply mean the result of a mathematical equation. For example: 2 x 4 -1 = 7**(Equa-7)**- In Arithmo, an equation is made by connecting three adjacent numbers in a grid.
- There are five types of puzzle grid shapes: Circle, Hexagon, Rhombus, Square, Triangle. Each game has a diagram illustrating how connections should be made in its specific grid.
- Numbers are calculated together using only addition, subtraction, multiplication and division,
*with or without parenthesis.*

If a combination of arithmetic functions is used than keep in mind the following order of operations you learned in math class:

Rule 1: *First perform any calculations inside parentheses, if they exist.*

Rule 2: *Next perform all multiplications and divisions*

Rule 3: *Lastly, perform all additions and subtractions*

The order of operation rules are demonstrated in the examples shown below:

(8 – 5) x 7 = 21 (**Equa-****21**)

8 x 12 ÷ 6 = 16 (**Equa-****16**)

6 x 3 + 5 = 23 (**Equa-23**)

11 + 12 ÷ 4 = 14 (**Equa-14**)

Each Arithmo puzzle employs the basic rules, but it will also have its own set of specific rules. Please read all the rules carefully for maximum benefit and enjoyment.