Number 2. Complete the missing pictures in the empty cells.

Analysis of the task:

The task presents a visual puzzle where a pattern needs to be identified and continued in the empty cells. There are three distinct sets of patterns, each forming a 3x3 grid, with the last column in each grid having empty cells.

Pattern 1 (Left Grid):

• The first column shows identical figures resembling tents with a base and a triangular top adorned with three dots. A curved line forms the 'tent' opening, and a tail-like shape extends from the base.
• The second column shows the same figures, but one has a small tick mark inside the tent opening, and another has a tail that is slightly bent.
• The third column has two empty cells. Based on the progression, the missing figures should continue the pattern, likely with variations in the tent opening or tail. However, the exact rule for variation is not immediately clear from just two completed columns. Without more context or a clearer pattern, the completion of this grid is ambiguous.*

Pattern 2 (Middle Grid):

• This grid contains images of stylized birds.
• The first column shows three identical birds, each with a circular body, two legs, a circular head with an eye, and a triangular tail. One wing is open with a semicircle inside.
• The second column shows two birds. The first bird is identical to those in the first column. The second bird has a filled-in semicircle for its wing.
• The third column has one empty cell. The pattern here seems to be a variation in the wing's appearance (open semicircle vs. filled semicircle). The missing bird in the third column should follow this variation. Given the first two cells in the second column and the first cell in the third column, the next logical step would be to alternate the wing style or introduce a new variation. If the pattern alternates, the missing bird should have an open wing with a semicircle. If it's a progression of complexity, a new variation might be introduced. Based on the existing pattern, it's most likely alternating.

Pattern 3 (Right Grid):

• This grid shows stylized figures resembling robots or dolls made of geometric shapes.
• The first column shows three figures:
• Top: A triangle for the head, a circle for the body, two small triangles for the feet, and two small squares for arms.
• Middle: A circle for the head, a square for the body, two small circles for the feet, and two small squares for arms.
• Bottom: A square for the head, a triangle for the body, two small squares for the feet, and two small squares for arms.
• The second column shows three figures:
• Top: A circle for the head, a square for the body, two small circles for the feet, and two small squares for arms.
• Middle: A square for the head, a triangle for the body, two small squares for the feet, and two small squares for arms.
• Bottom: A triangle for the head, a circle for the body, two small squares for the feet, and two small squares for arms.
• The third column has three empty cells.
• Observation: The patterns here are more complex. It appears to be a systematic variation of shapes used for the head, body, and feet. The arms are consistently squares. Let's analyze the progression by row:
• Row 1: Head (Triangle), Body (Circle), Feet (Triangles) -> Head (Circle), Body (Square), Feet (Circles). The next figure in the third column would likely continue this rotation of shapes for head and body, and potentially feet.
• Row 2: Head (Circle), Body (Square), Feet (Squares) -> Head (Square), Body (Triangle), Feet (Squares).
• Row 3: Head (Square), Body (Triangle), Feet (Squares) -> Head (Triangle), Body (Circle), Feet (Squares).
• Let's focus on the first column's figures and how they might evolve. It seems like the shapes for the head, body, and feet are being cycled through (Triangle, Circle, Square).
• Column 1 -> Column 2 transformation:
• Row 1: Triangle/Circle/Triangle -> Circle/Square/Circle.
• Row 2: Circle/Square/Circle -> Square/Triangle/Square.
• Row 3: Square/Triangle/Square -> Triangle/Circle/Square.
• This suggests a pattern where shapes are shifted or rotated. Let's assume the shapes used for head, body, and feet are from the set {Triangle, Circle, Square}.
• Looking at Column 1, Row 1: Head=Triangle, Body=Circle, Feet=Triangles.
• Column 1, Row 2: Head=Circle, Body=Square, Feet=Circles.
• Column 1, Row 3: Head=Square, Body=Triangle, Feet=Squares.
• Now, let's look at Column 2 and how it relates to Column 1. The arms are always squares.
• Column 2, Row 1: Head=Circle, Body=Square, Feet=Circles. (This is a shift from Col 1, Row 1: Head (T->C), Body (C->S), Feet (T->C) - this doesn't appear to be a simple rotation).
• Let's re-examine the shapes for head, body, and feet.
• Figure 1 (Col 1, Row 1): Head-T, Body-C, Feet-T
• Figure 2 (Col 1, Row 2): Head-C, Body-S, Feet-C
• Figure 3 (Col 1, Row 3): Head-S, Body-T, Feet-S
• Figure 4 (Col 2, Row 1): Head-C, Body-S, Feet-C
• Figure 5 (Col 2, Row 2): Head-S, Body-T, Feet-S
• Figure 6 (Col 2, Row 3): Head-T, Body-C, Feet-S
• There seems to be a pattern where the shapes for head, body, and feet are cycled. Let's analyze the progression within each column.
• Column 1:
• Row 1: T, C, T
• Row 2: C, S, C
• Row 3: S, T, S
• It looks like the head shape progresses cyclically (T -> C -> S -> T), and the body shape follows a similar cycle but shifted (C -> S -> T -> C), and feet match the head shape.
• Column 2:
• Row 1: C, S, C
• Row 2: S, T, S
• Row 3: T, C, S
• This column appears to be a shifted version of Column 1, or perhaps a transformation. Notice that the feet in Row 3 of Column 2 are Squares, which is different from the pattern of feet matching the head. This might be a new variation or an error in the drawing. Let's assume the pattern within a column is more important.
• If we look at the rows as progressions across columns:
• Row 1: T/C/T -> C/S/C. Here, the head advanced one step (T->C), body advanced one step (C->S), and feet advanced one step (T->C).
• Row 2: C/S/C -> S/T/S. Head advanced one step (C->S), body advanced one step (S->T), feet advanced one step (C->S).
• Row 3: S/T/S -> T/C/S. Head advanced one step (S->T), body advanced one step (T->C). The feet changed from S to S, which is unexpected if it's a direct cycle.
• Let's reconsider the shapes: Head (H), Body (B), Feet (F). Assume the cycle is T -> C -> S -> T.
• Col 1, Row 1: H=T, B=C, F=T
• Col 1, Row 2: H=C, B=S, F=C
• Col 1, Row 3: H=S, B=T, F=S
• Now for Col 2, Row 1: H=C, B=S, F=C. This matches Col 1, Row 2.
• Col 2, Row 2: H=S, B=T, F=S. This matches Col 1, Row 3.
• Col 2, Row 3: H=T, B=C, F=S. This matches Col 1, Row 1, but the feet are S instead of T. This suggests that the pattern might be that Column 2 is Column 1 shifted down by one row, with the last element wrapping around for H and B, but the feet in the last row of Col 2 is an anomaly (S instead of T). Or, more likely, Column 2 is simply a repetition of Column 1's structure in a shifted manner.
• Let's assume the pattern is that each column applies the same transformation. If Column 1 has (T,C,T), (C,S,C), (S,T,S) for (H,B,F) in rows 1,2,3, and Column 2 has (C,S,C), (S,T,S), (T,C,S). This looks like Column 2's rows are derived from Column 1 by cycling the shapes.
• Let's consider the progression from Col 1 to Col 2 as a transformation:
• Row 1: (T,C,T) -> (C,S,C). Head: T->C, Body: C->S, Feet: T->C. (Advance by 1 step in T->C->S cycle).
• Row 2: (C,S,C) -> (S,T,S). Head: C->S, Body: S->T, Feet: C->S. (Advance by 1 step).
• Row 3: (S,T,S) -> (T,C,S). Head: S->T, Body: T->C, Feet: S->S. (Feet did not advance).
• This implies that for the third column, we need to apply the same transformation again.
• Col 3, Row 1: Take (C,S,C) from Col 2, Row 1, and advance each shape by one step. Head: C->S, Body: S->T, Feet: C->S. So, (S, T, S).
• Col 3, Row 2: Take (S,T,S) from Col 2, Row 2, and advance each shape by one step. Head: S->T, Body: T->C, Feet: S->C. So, (T, C, C).
• Col 3, Row 3: Take (T,C,S) from Col 2, Row 3, and advance each shape by one step. Head: T->C, Body: C->S, Feet: S->T. So, (C, S, T).
• Let's re-evaluate the anomaly in Col 2, Row 3 feet. If we assume the progression is consistent:
• Col 1, Row 1: H=T, B=C, F=T
• Col 1, Row 2: H=C, B=S, F=C
• Col 1, Row 3: H=S, B=T, F=S
• If we apply the +1 transformation across columns:
• Col 2, Row 1: H=C, B=S, F=C (Matches Col 1 Row 2)
• Col 2, Row 2: H=S, B=T, F=S (Matches Col 1 Row 3)
• Col 2, Row 3: H=T, B=C, F=T (Matches Col 1 Row 1)
• This interpretation suggests that Column 2 is a reordering of Column 1's rows. Specifically, Row 1 of Col 2 is Row 2 of Col 1, Row 2 of Col 2 is Row 3 of Col 1, and Row 3 of Col 2 is Row 1 of Col 1. This seems to be a cyclic shift of rows.
• If this row-shifting pattern holds, then Column 3's rows should correspond to Column 2's rows shifted cyclically.
• Col 3, Row 1 should be Row 2 of Col 2: H=S, B=T, F=S.
• Col 3, Row 2 should be Row 3 of Col 2: H=T, B=C, F=S.
• Col 3, Row 3 should be Row 1 of Col 2: H=C, B=S, F=C.
• Let's check if this row-shifting interpretation is consistent. The figures are made of {Triangle, Circle, Square}. Arms are always squares.
• Figure 1 (Col 1, Row 1): H=T, B=C, F=T (Arms=S)
• Figure 2 (Col 1, Row 2): H=C, B=S, F=C (Arms=S)
• Figure 3 (Col 1, Row 3): H=S, B=T, F=S (Arms=S)
• Figure 4 (Col 2, Row 1): H=C, B=S, F=C (Arms=S)
• Figure 5 (Col 2, Row 2): H=S, B=T, F=S (Arms=S)
• Figure 6 (Col 2, Row 3): H=T, B=C, F=S (Arms=S)
• Figure 7 (Col 3, Row 1): H=S, B=T, F=S (Arms=S)
• Figure 8 (Col 3, Row 2): H=T, B=C, F=S (Arms=S)
• Figure 9 (Col 3, Row 3): H=C, B=S, F=C (Arms=S)
• This row-shifting pattern seems to fit the visual data best, especially considering the feet in Figure 6 and 9, which are squares.

Completion of the Grid:

Pattern 1 (Left Grid): The pattern appears to be variations in the tail and the interior of the tent opening. Without a clear rule, it's impossible to definitively complete. However, if the pattern is simply adding a tick mark and a bent tail, one possible completion could be a straight tail and no tick mark, or a bent tail and no tick mark. Let's assume for now this grid is less about a strict pattern and more about drawing similar figures. The empty cells would be filled with figures similar to those already present, perhaps with subtle variations. For the sake of providing a concrete answer based on visual similarity, we will fill the empty cells with figures that maintain the overall aesthetic but lack a defined progression rule from the provided cells.*

Pattern 2 (Middle Grid): The pattern alternates between an open semicircle wing and a filled semicircle wing. The last visible bird has an open wing. Therefore, the missing bird should have a filled semicircle wing.

Pattern 3 (Right Grid): Following the row-shifting pattern:

• The first empty cell (Row 1, Column 3) should be the same as Row 2, Column 2: Head=Square, Body=Triangle, Feet=Square.
• The second empty cell (Row 2, Column 3) should be the same as Row 3, Column 2: Head=Triangle, Body=Circle, Feet=Square.
• The third empty cell (Row 3, Column 3) should be the same as Row 1, Column 2: Head=Circle, Body=Square, Feet=Circle.

Summary of Missing Parts:

Grid 1: Fill the two empty cells with figures similar to those in the first two columns, maintaining the style of tents. (Specific pattern not discernible for precise completion).*

Grid 2: The missing bird should have a filled semicircle for its wing.

Grid 3:

• Cell 1 (Row 1, Col 3): Figure with Square head, Triangle body, Square feet.
• Cell 2 (Row 2, Col 3): Figure with Triangle head, Circle body, Square feet.
• Cell 3 (Row 3, Col 3): Figure with Circle head, Square body, Circle feet.

Final Answer:

The task is to fill the empty cells. Based on the analysis:

• The first grid (tents): The pattern is not clear enough for a precise prediction. The empty cells should be filled with figures similar to the existing ones, maintaining the style.
• The second grid (birds): The missing bird should have a filled semicircle wing.
• The third grid (geometric figures):
• Top empty cell: A figure with a square head, triangular body, and square feet.
• Middle empty cell: A figure with a triangular head, circular body, and square feet.
• Bottom empty cell: A figure with a circular head, square body, and circular feet.