# A Relatively Modern Idea: Fairness in Dice Rolling

[Image courtesy of Larsdatter.com.]

This may come as a surprise to you, fellow puzzlers, but fairness was not always a priority when it came to rolling dice.

Nowadays, whether you’re going after that elusive Yahtzee, hoping for doubles to earn another roll in Monopoly, or trying to roll sevens in a game of craps, the basic concept behind throwing dice is that every outcome of a six-sided die has an equal chance to appear. Unless you’re dealing with loaded or gimmicked dice, your odds should be 1 in 6.

But a recent study by researchers from the American Museum of Natural History and the University of California, Davis, has revealed that fairness in dice rolling didn’t really become a concern for dice users until the Renaissance. Researchers gathered dice spanning 2000 years of human history to explore why this was the case.

[Image courtesy of Wikipedia.]

Roman-era dice, the researchers found, were a mess when it came to shape. They were made from a variety of materials, such as metal, bone and clay, and no two were shaped entirely alike. Many were visibly lumpy and lopsided, with the 1 and 6 on opposite sides that were more likely to roll up.

In fact, it seems like variety was the name of the game in Roman times, since the number configurations, shape, and size were inconsistent across the board, although dice were fairly common in the time period.

[Image courtesy of Pinterest.]

The Dark Ages led to a downturn in dice frequency, as they become very rare between the years 400CE and 1100CE.

The use of dice rebounds after 1100, and are most commonly found in ancient Mesopotamia and Egypt in what is known as the primes configuration, meaning that opposite numbers add up to prime numbers. 1 pairs with 2, 3 pairs with 4, and 5 pairs with 6.

There was a reinvigorated focus on the mechanics of chance and calculating probability, thanks to names like Galileo and Pascal, as well as a spirit of greater scientific understanding overall. Those Renaissance influences led to both a standardized shape for dice and a change in the numbering system. At this point, most dice convert to the sevens configuration, where opposite sides add up to seven (1 pairs with 6, 2 pairs with 5, and 3 pairs with 4).

[Image courtesy of Smithsonian.com.]

And according to lead researcher Jelmer Eerkens, cheating may have been on the mind of manufacturers going forward. “Standardizing the attributes of a die, like symmetry and the arrangement of numbers, may have been one method to decrease the likelihood that an unscrupulous player had manipulated the dice to change the odds of a particular roll.”

That change from variable shapes, sizes, and designs reflects a sea change in thinking towards dice and chance. Before, the shape didn’t matter because the results were attributed to Fate or some greater outside force, but later on, an understanding of chance and probability pushed standardization of dice forward.

In the end, it’s amazing how much of our culture and worldview, both past and present, can be revealed by exploring how we solve puzzles and play games.

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# The Weird, Wonderful World of Dice

[Image courtesy of ThoughtCo.]

Dice have been an integral part of gaming for centuries. They’re the simplest way to introduce randomness to a game.

The six-sided die is, by leaps and bounds, the most familiar die. The d6, as role-players call it, is a staple of classic board games like Yahtzee and Clue, as well as the centerpiece of role-playing systems like GURPS.

But the d6 is hardly the only kind of die you see in gaming. Plenty of games and role-playing systems rely on dice of other shapes in order to run smoothly.

[Image courtesy of Wikimedia.]

If you play World of Darkness role-playing games like Werewolf or Vampire: The Masquerade, then the d10 is your friend. If you enjoy updated editions of Dungeons & Dragons (or even board games like Unspeakable Words or Scattergories), the d20 is a familiar sight, whether it has letters or numbers on it.

A standard dice set for beginners Dungeons & Dragons contains six different dice shapes: a pyramid-shaped d4, a d6, a d8, a d10, a d12, and a d20. (Many come with 2 d10s, one with single digits and one with double digits, allowing you to calculate percentages).

[Image courtesy of Instructables.]

Heck, if you think about it, flipping a coin to decide something is simply rolling a two-sided die.

But when you start delving into the history of games, it’s amazing to see just how far back some of these traditions and conventions go.

Did you know that The Metropolitan Museum of Art has a d20 in its collection?

Dating back to Roman times (somewhere between the 2nd century BC and the 4th century AD), the above die is inscribed with Greek letters. It’s not certain if this particular die was used for games or religious divination, but there’s no doubt it’s a beautiful example of craftsmanship.

And this is just scraping the surface. One of my favorite dice in my collection is an oversized 3D-printed d20 with Braille markings for every number. Such a cool piece.

Can you think of any strange dice in favorite games of yours, fellow puzzlers? We’d love to hear about them! (Unless they’re fuzzy dice hanging from your rearview mirror. Those don’t make reliable rolls in regular gameplay.)

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