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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It is

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,

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

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

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):

And look at the second row in the given faces.

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:

And look at the third row in the given faces.

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 $$C$$.

...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.

It is

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,

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

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

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):

And look at the second row in the given faces.

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:

And look at the third row in the given faces.

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 $$C$$.

...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.

It is

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,

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

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

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):

And look at the second row in the given faces.

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:

And look at the third row in the given faces.

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 $$C$$.

...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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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?

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?

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