Podcast #128: We chat with Kent C Dodds about why he loves React and discuss what life was like in the dark days before Git. Listen now.
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Current Answer (looks correct):

It is

C

The following explanation reveals why some faces of each die are rotated... thisit took me a while for me to come up with a plausible answer, so thanks OP for the puzzle. It was great! :D


Explanation:

We will look at the faces below,

Photo

and compare it with a net of a single die; i.e.,

Net

Look at the rows of the faces. The first row is

1 Row

In the net...

...when drawing a line from the $4$ Face to the $2$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $2$ Face). This will mean you have to draw a line from the $2$ Face to the $3$ Face, thus making the $3$ Face come last in the row.

Let's rotate the net $90^\circ$ clockwise ($90$ degrees to the right):

2 Net

And look at the second row in the given faces.

2 Row

In the net,

...when drawing a line from the $2$ Face to the $6$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $6$ face). This will mean you have to draw a line from the $6$ Face to the $5$ Face, thus making the $5$ Face come last in the row.

Now we rotate the net once more, $90^\circ$ clockwise:

3 Net

And look at the third row in the given faces.

3 Row

Oh no!

There are only two faces in that row. So what is the last one?

Well,

Using the same rules, we look at the net...

...when drawing a line from the $1$ Face to the $3$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $3$ face). This will mean you have to draw a line from the $3$ Face to the $6$ Face.

This means,

The $6$ face finishes off the incomplete row. But it is rotated because we rotated the net!

Therefore,

The answer is $C$.

2 Photo



Original Answer (probably incorrect):

The answer could be...

...either $B$ or $E$


Original Thought:

Convert the numbers of dots on each die to, well, numbers.

$$\begin{matrix}\boxed4 & \boxed2 & \boxed3 \\ \boxed2 & \boxed6 & \boxed5 \\ \boxed1 & \boxed3 & \boxed? \\ \end{matrix}$$

Now we carry out the following calculations:

$$\begin{align}4\times (2+1)\tag{for the leftmost column}&= 12 \\ 2\times (6+3)&=18\tag{for the middle column}\end{align}$$ so we have the pattern $12, 18, 24$ such that $3\times (5\,+\,?)=24$ (for the rightmost column).

That leaves the answer to be,

$$\begin{align}?&= (24\div 3)-5 \\ &= 8 - 5 \\ &= 3.\end{align}$$

So now we know,

The answer is either $B$ or $E$, because they each have three dots.

Current Answer (looks correct):

It is

C

The following explanation reveals why some faces of each die are rotated... this took a while for me to come up with a plausible answer, so thanks OP for the puzzle. It was great! :D


Explanation:

We will look at the faces below,

Photo

and compare it with a net of a single die; i.e.,

Net

Look at the rows of the faces. The first row is

1 Row

In the net...

...when drawing a line from the $4$ Face to the $2$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $2$ Face). This will mean you have to draw a line from the $2$ Face to the $3$ Face, thus making the $3$ Face come last in the row.

Let's rotate the net $90^\circ$ clockwise ($90$ degrees to the right):

2 Net

And look at the second row in the given faces.

2 Row

In the net,

...when drawing a line from the $2$ Face to the $6$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $6$ face). This will mean you have to draw a line from the $6$ Face to the $5$ Face, thus making the $5$ Face come last in the row.

Now we rotate the net once more, $90^\circ$ clockwise:

3 Net

And look at the third row in the given faces.

3 Row

Oh no!

There are only two faces in that row. So what is the last one?

Well,

Using the same rules, we look at the net...

...when drawing a line from the $1$ Face to the $3$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $3$ face). This will mean you have to draw a line from the $3$ Face to the $6$ Face.

This means,

The $6$ face finishes off the incomplete row. But it is rotated because we rotated the net!

Therefore,

The answer is $C$.

2 Photo



Original Answer (probably incorrect):

The answer could be...

...either $B$ or $E$


Original Thought:

Convert the numbers of dots on each die to, well, numbers.

$$\begin{matrix}\boxed4 & \boxed2 & \boxed3 \\ \boxed2 & \boxed6 & \boxed5 \\ \boxed1 & \boxed3 & \boxed? \\ \end{matrix}$$

Now we carry out the following calculations:

$$\begin{align}4\times (2+1)\tag{for the leftmost column}&= 12 \\ 2\times (6+3)&=18\tag{for the middle column}\end{align}$$ so we have the pattern $12, 18, 24$ such that $3\times (5\,+\,?)=24$ (for the rightmost column).

That leaves the answer to be,

$$\begin{align}?&= (24\div 3)-5 \\ &= 8 - 5 \\ &= 3.\end{align}$$

So now we know,

The answer is either $B$ or $E$, because they each have three dots.

Current Answer (looks correct):

It is

C

The following explanation reveals why some faces of each die are rotated... it took me a while to come up with a plausible answer, so thanks OP for the puzzle. It was great! :D


Explanation:

We will look at the faces below,

Photo

and compare it with a net of a single die; i.e.,

Net

Look at the rows of the faces. The first row is

1 Row

In the net...

...when drawing a line from the $4$ Face to the $2$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $2$ Face). This will mean you have to draw a line from the $2$ Face to the $3$ Face, thus making the $3$ Face come last in the row.

Let's rotate the net $90^\circ$ clockwise ($90$ degrees to the right):

2 Net

And look at the second row in the given faces.

2 Row

In the net,

...when drawing a line from the $2$ Face to the $6$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $6$ face). This will mean you have to draw a line from the $6$ Face to the $5$ Face, thus making the $5$ Face come last in the row.

Now we rotate the net once more, $90^\circ$ clockwise:

3 Net

And look at the third row in the given faces.

3 Row

Oh no!

There are only two faces in that row. So what is the last one?

Well,

Using the same rules, we look at the net...

...when drawing a line from the $1$ Face to the $3$ Face in the net, you want to then draw a symmetrical line from the last met Face (i.e. the $3$ face). This will mean you have to draw a line from the $3$ Face to the $6$ Face.

This means,

The $6$ face finishes off the incomplete row. But it is rotated because we rotated the net!

Therefore,

The answer is $C$.

2 Photo



Original Answer (probably incorrect):

The answer could be...

...either $B$ or $E$


Original Thought:

Convert the numbers of dots on each die to, well, numbers.

$$\begin{matrix}\boxed4 & \boxed2 & \boxed3 \\ \boxed2 & \boxed6 & \boxed5 \\ \boxed1 & \boxed3 & \boxed? \\ \end{matrix}$$

Now we carry out the following calculations:

$$\begin{align}4\times (2+1)\tag{for the leftmost column}&= 12 \\ 2\times (6+3)&=18\tag{for the middle column}\end{align}$$ so we have the pattern $12, 18, 24$ such that $3\times (5\,+\,?)=24$ (for the rightmost column).

That leaves the answer to be,

$$\begin{align}?&= (24\div 3)-5 \\ &= 8 - 5 \\ &= 3.\end{align}$$

So now we know,

The answer is either $B$ or $E$, because they each have three dots.

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Photo

Photo

Net

Net

1 Row

1 Row

2 Net

2 Net

2 Row

2 Row

3 Net

3 Net

3 Row

3 Row

There are only two faces in that row. So what is the last one?

There are only two faces in that row. So what is the last one?

Photo

Net

1 Row

2 Net

2 Row

3 Net

3 Row

There are only two faces in that row. So what is the last one?

Photo

Net

1 Row

2 Net

2 Row

3 Net

3 Row

There are only two faces in that row. So what is the last one?

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