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Mule (coin)

Mule (coin) is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Mule (coin) rather than just read about it. In short: In numismatics, a mule is a coin or medal minted with obverse and reverse designs not normally seen on the same piece. These can be intentional or produced by error.

Mule (coin) — main illustration
Mule (coin) — illustration

Key takeaways

  • Mule (coin) belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Mule (coin) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Mule (coin) from memory before moving on to harder problems.

Reference excerpt

In numismatics, a mule is a coin or medal minted with obverse and reverse designs not normally seen on the same piece. These can be intentional or produced by error. This type of error is highly sought after by collectors, and examples can fetch high prices. The earliest mules are found among ancient Greek and Roman coins. Opinion is divided between those who think that they are accidental, the result of an incorrect combination of a new die with one that had officially been withdrawn from use, or the work of coiners working with dies stolen from an official mint, perhaps at a time when one of them should have been destroyed. The name derives from the mule, the hybrid offspring of a horse and a donkey, due to such a coin having two sides intended for different coins, much as a mule has parents of two different species.

Prominent examples In March 2014 the Royal Mint confirmed a pair of mule 2014 bullion coins struck in 999 fine silver: approximately 38,000 £2 Lunar Horse coins and 17,000 £2 Britannia coins. The Lunar Horses were struck with the denticled Britannia obverse while the Britannias were struck with the non-denticled Lunar Horse obverse. In February 2009, Coin World reported that some 2007 Abigail Adams medals, from the U.S. Mint, were struck using the reverse from the 2008 Louisa Adams medal, apparently by mistake. These pieces were contained within the 2007 First Spouse medal set. The U.S. Mint has not released an estimate of how many mules were made. eBay prices in March 2009 were reported as high as $925.99. In 1967, a New Zealand 2 cent coin was issued, featuring the obverse of the Bahamian 5 cent coin, see Coins of the New Zealand dollar. In June 2009 a rare dateless British 20 pence mule was reported to be in circulation, resulting from the accidental combination of old and new dies in production following a 2008 redesign of UK coinage, with an estimated 50,000 to 200,000 mules released before the error was noticed. The Winter Olympic coins produced in the Royal Canadian Mint Olympic coins program for the 2010 Winter Olympics in Vancouver featured several mules which entered circulation. One of the first authentic mule errors to be released by the U.S. Mint (as opposed to the deliberate mules of the mid-1800s) was the 2000 Sacagawea dollar – Washington quarter mule. It features the obverse of a Washington state quarter and the reverse of a Sacagawea dollar. This coin was struck on a Sacagawea dollar planchet. The mint confirmed in July 2000 that the coin was a legitimate error, created by the accidental replacement of a cracked Sacagawea obverse die with a Washington obverse die. Several thousand of the coins were reported to have been minted before the error was discovered, and mint employees recovered and destroyed most of them. As of September 2019, 19 are publicly known to exist and have been certified, of which 16 are owned by a coin collector named Tommy Bolack. A specimen was sold in August 2012 for $155,250.

"Handsome" mules

Sometimes mints use proof dies in the production of coins intended for circulation. Coins produced when an identifiable proof die is "married" with a business die are known as "handsome" mules. The details on handsome mules are often noticeably sharper, and thus are distinguishable from ordinary business strikes in circulation.

References

External links

Illustrations

Mule (coin): An example of a Heraclius mule
An example of a Heraclius mule
Mule (coin): A "handsome" mule. The telltale difference between the image of the reverse of these two 1958 Franklin halves shown is that the  eagle's right wingtip (seen as the viewer's right) on the proof coin has more feathers than on the left coin.
A "handsome" mule. The telltale difference between the image of the reverse of these two 1958 Franklin halves shown is that the eagle's right wingtip (seen as the viewer's right) on the proof coin has more feathers than on the left coin.

Worked examples

Example 1 — a first encounter with Mule (coin)

Start with the simplest possible case. Write down what Mule (coin) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Mule (coin) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Mule (coin) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Mule (coin)

In research
Mule (coin) appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Mule (coin) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Mule (coin) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Coins, Mint-made errors, so understanding it makes those chapters shorter.
In everyday life
Look for Mule (coin) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Mule (coin) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Mule (coin) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Mule (coin) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Mule (coin) in simple terms?

In numismatics, a mule is a coin or medal minted with obverse and reverse designs not normally seen on the same piece. These can be intentional or produced by error.

Why does Mule (coin) matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Mule (coin)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Mule (coin).

Tags

  • Coins
  • Mint-made errors

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