This unsolvable puzzle game ad where you have to connect the dots ... - Free Printable

The image shows a puzzle challenge from the game Two Dots, where you're asked to:

> "Kun jij het oplossen?"
> *(Can you solve it?)*

> "Verbind de stippen van dezelfde kleur zonder de lijnen te kruisen."
> *(Connect the dots of the same color without crossing the lines.)*

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🔍 Let's analyze the puzzle:

We have:
- A circle with 6 colored dots on the edge:
- Red: 2 dots
- Green: 2 dots
- Blue: 2 dots
- Inside the circle, there are two more dots:
- One yellow
- One blue

Wait — but the outside dots are:
- Red (2), Green (2), Blue (2) → that’s 6
- Inside: Yellow (1), Blue (1) → total 8 dots?

But looking closely at the image:
- There are 6 dots on the circle:
- Top-left: green
- Top-right: red
- Bottom-right: blue
- Bottom-left: red
- Lower-left: green
- Upper-left: yellow? Wait — no.

Let’s carefully list them in order around the circle (clockwise):

1. Top-left: green
2. Top-right: red
3. Right side: blue
4. Bottom-right: green
5. Bottom-left: red
6. Left side: yellow

Wait — now we have:
- Green: 2 (top-left and bottom-right)
- Red: 2 (top-right and bottom-left)
- Blue: 1 (right side)
- Yellow: 1 (left side)

But inside the circle:
- One yellow dot
- One blue dot

So:
- Yellow: 2 dots (one on circle, one inside)
- Blue: 2 dots (one on circle, one inside)
- Red: 2 dots (both on circle)
- Green: 2 dots (both on circle)

✔ So all colors have exactly two dots each — perfect for pairing.

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🧩 The Goal:

Connect each pair of same-colored dots with a line, without any lines crossing.

We must draw:
- Green → Green
- Red → Red
- Blue → Blue
- Yellow → Yellow

And no lines can cross.

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✔ Step-by-step solution:

Let’s label positions for clarity:

Assume the circle has 6 points clockwise:

1. A – top-left: green
2. B – top-right: red
3. C – right: blue
4. D – bottom-right: green
5. E – bottom-left: red
6. F – left: yellow

Inside:
- Y – yellow dot
- Bl – blue dot

Now connect pairs:

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#### 🔵 Blue dots:
- One is at C (right)
- One is inside (Bl)

→ Connect C to Bl
This line goes from the right edge into the center.

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#### 🟡 Yellow dots:
- One at F (left)
- One inside (Y)

→ Connect F to Y
This line goes from the left edge into the center.

Now, these two lines (C–Bl and F–Y) both go inward from opposite sides. If they cross in the middle, that’s bad.

But if we draw:
- C–Bl going slightly downward
- F–Y going slightly upward

They might not cross — depends on placement.

But here's the key: the inside dots are not symmetric. Looking at the image:
- The yellow dot is near the center, slightly above
- The blue dot is near the center, slightly below

So:
- Draw F (left yellow) to Y (top-center yellow) — straight up/right
- Draw C (right blue) to Bl (bottom-center blue) — down/left

These two lines will cross unless we route them carefully.

But wait — maybe we can avoid this by choosing different paths?

Alternatively, perhaps we can use the outer circle to route lines around?

But the rules say: "connect the dots without crossing lines."

We need to find a way to connect all pairs without intersections.

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💡 Insight:

This is a classic planar graph puzzle — can we draw connections without crossings?

Let’s consider the order of the dots on the circle:

Clockwise:
1. Green (A)
2. Red (B)
3. Blue (C)
4. Green (D)
5. Red (E)
6. Yellow (F)

So the sequence is:
G, R, B, G, R, Y

Now, the pairs:
- Green: A and D → across the circle
- Red: B and E → also across
- Blue: C and Bl (inside)
- Yellow: F and Y (inside)

Now, if we try to connect:
- Green (A–D): a long arc across the circle — would go through the middle
- Red (B–E): another arc across — crosses the green one?
- But if we draw outside the circle, we can't — because the dots are on the circle.

Actually, the rule doesn’t specify whether lines must be inside or outside — but typically in such puzzles, lines are drawn inside the circle.

So let’s assume lines must be drawn inside the circle.

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🚫 Problem:

If we connect:
- Green (A–D): from top-left to bottom-right → diagonal
- Red (B–E): from top-right to bottom-left → diagonal

These two diagonals cross in the center.

So we cannot draw both diagonals.

But we have to connect them somehow.

Wait — maybe we can route the lines around the inside?

But the only way to avoid crossing is to not cross.

Alternative idea: swap the connections?

No — we must connect same colors.

But here's the trick: use the inner dots to help reroute.

Let’s look again:

We have:
- Two green dots: A (top-left) and D (bottom-right)
- Two red dots: B (top-right) and E (bottom-left)
- One blue on circle (C), one inside (Bl)
- One yellow on circle (F), one inside (Y)

So:
- Green: A & D → both on circle
- Red: B & E → both on circle
- Blue: C (circle) & Bl (inside)
- Yellow: F (circle) & Y (inside)

So the only way to connect blue and yellow is to draw a line from the outer dot to the inner one.

But if we draw:
- Blue: C → Bl
- Yellow: F → Y

Then we have to connect:
- Green: A → D
- Red: B → E

But A→D and B→E are diagonals that cross.

So unless we can avoid drawing both diagonals, we’re stuck.

But we must connect them.

Wait — what if we don’t draw straight lines? Can we curve them?

Yes! In such puzzles, curved lines are allowed as long as they don’t cross.

So we can draw:
- Green (A–D): go below the circle
- Red (B–E): go above the circle

But the dots are on the circle — so we can draw lines inside or outside?

But the puzzle says “verbond de stippen” — just connect.

But if we draw lines outside, they might not interfere.

But the hand is drawing with a pencil on paper — so likely lines are drawn on the surface, and can go inside or outside.

Ah! That’s the key!

We can draw lines outside the circle to avoid crossings.

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✔ Solution Strategy:

Use external routing to avoid crossings.

Let’s do it step by step.

#### Step 1: Connect Green dots (A and D)

- A is top-left
- D is bottom-right

Instead of drawing a diagonal across, draw a curve outside the circle from A to D.

→ This avoids the center.

#### Step 2: Connect Red dots (B and E)

- B is top-right
- E is bottom-left

Draw a curve outside the circle from B to E.

Now, these two external curves might cross each other?

Let’s see:

- A→D: from top-left to bottom-right, outside → goes clockwise around
- B→E: from top-right to bottom-left, outside → goes counterclockwise around

They may still cross.

But if we draw:
- A→D: go down then right around the bottom
- B→E: go up then left around the top

Then they don’t cross.

Yes! Possible.

So:
- Green: A → D via bottom outside
- Red: B → E via top outside

Now, both are outside — no conflict.

Now, the inner connections:

#### Step 3: Blue (C → Bl)

- C is on the right side
- Bl is inside, near bottom

So draw a line from C to Bl — go downward and left, avoiding the center.

#### Step 4: Yellow (F → Y)

- F is on the left side
- Y is inside, near top

Draw a line from F to Y — go upward and right

Now, check if these two internal lines cross:

- Blue: C → Bl (from right, down-left)
- Yellow: F → Y (from left, up-right)

These two lines might cross in the center.

But if we draw:
- Blue: C → Bl, curving downward, staying near the bottom
- Yellow: F → Y, curving upward, staying near the top

Then they don’t cross.

Also, the outer lines (green and red) are outside — so no interference.

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✔ Final Answer:

Yes, it is solvable.

Here’s how:

1. Green (A–D): Draw a curved line outside the circle from top-left to bottom-right.
2. Red (B–E): Draw a curved line outside the circle from top-right to bottom-left.
3. Blue (C–Bl): Draw a line from the right-side blue dot to the inner blue dot, curving downward.
4. Yellow (F–Y): Draw a line from the left-side yellow dot to the inner yellow dot, curving upward.

Ensure:
- The outer lines don’t cross each other (by routing one high, one low).
- The inner lines don’t cross (by routing one high, one low).

Thus, no lines cross, and all same-colored dots are connected.

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✔ Conclusion:

Yes, you can solve it.

It requires using external routes for the green and red pairs, and careful routing for the inner blue and yellow connections.

This is a clever puzzle that tests spatial reasoning and planning.

💡 Tip: Always look for ways to route lines around the perimeter when possible to avoid central crossings.

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