Solve the Halloween multiplication puzzle by finding the value of each icon.

To solve the problem, we need to determine the value of each icon in the multiplication table. Let's break it down step by step.

Step 1: Understand the structure

The table is a multiplication table where:
- The icons on the left side (rows) and top (columns) represent numbers.
- The entries in the table are the products of the corresponding row and column icons.

Step 2: Identify known values

From the table:
- The top row shows the values: 1, 2, ?.
- The first column shows the values: ?, ?, ?.
- The entries in the table are: 1, 3, 9, 12.

Step 3: Analyze the given entries

1. The entry in the first row and first column is 1.
- This means the product of the first row icon and the first column icon is 1.
- Let the first row icon be \( A \) and the first column icon be \( B \). Then \( A \times B = 1 \).

2. The entry in the second row and first column is 3.
- This means the product of the second row icon and the first column icon is 3.
- Let the second row icon be \( C \). Then \( C \times B = 3 \).

3. The entry in the third row and first column is 9.
- This means the product of the third row icon and the first column icon is 9.
- Let the third row icon be \( D \). Then \( D \times B = 9 \).

4. The entry in the third row and second column is 12.
- This means the product of the third row icon and the second column icon is 12.
- Let the second column icon be \( E \). Then \( D \times E = 12 \).

Step 4: Solve for the values

#### Determine \( B \) (the first column icon)
From \( A \times B = 1 \):
- Since \( A \) is the first row icon and the first row contains the number 1, \( A = 1 \).
- Therefore, \( 1 \times B = 1 \), so \( B = 1 \).

#### Determine \( C \) (the second row icon)
From \( C \times B = 3 \):
- Since \( B = 1 \), \( C \times 1 = 3 \), so \( C = 3 \).

#### Determine \( D \) (the third row icon)
From \( D \times B = 9 \):
- Since \( B = 1 \), \( D \times 1 = 9 \), so \( D = 9 \).

#### Determine \( E \) (the second column icon)
From \( D \times E = 12 \):
- Since \( D = 9 \), \( 9 \times E = 12 \), so \( E = \frac{12}{9} = \frac{4}{3} \).

Step 5: Assign values to the icons

- The first row icon (flask) is \( A = 1 \).
- The first column icon (flask) is \( B = 1 \).
- The second row icon (hand) is \( C = 3 \).
- The third row icon (boot) is \( D = 9 \).
- The second column icon (vampire mouth) is \( E = \frac{4}{3} \).

Step 6: Determine the third column icon

The third column icon (moon) can be found using the third row and third column entry:
- The entry in the third row and third column is not given, but we can infer it from the pattern.
- Let the third column icon be \( F \). Then \( D \times F = ? \).
- Since \( D = 9 \), we need to find \( F \) such that the pattern holds. However, the problem does not provide enough information to determine \( F \) directly. We assume the pattern or additional information is consistent with the given values.

Final Answer

The values of the icons are:
- Flask: \( 1 \)
- Hand: \( 3 \)
- Boot: \( 9 \)
- Vampire mouth: \( \frac{4}{3} \)
- Moon: Not determined from the given information.

\[
\boxed{1, 3, 9, \frac{4}{3}}
\]