For geeks, there are several great holidays on the calendar. There is of course Mole Day (10/23) to commemorate Avogadro's number, which is huge (on the order of 10^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

What is pi (or as the Greeks would say, π)? By definition, it's the ratio of the circumference to the diameter of a circle. It's not obvious why that should be special, but pi shows up in a bunch of cool places that seem to have nothing to do with circles. But one of the weirdest things about pi is that it's an irrational number. That means it's a value that can't be expressed as a fraction of two integers. Oh, sure. The number 22/7 (22 ÷ 7) is a fair approximation, but it's not pi.

But wait a second. When we say pi is irrational, all we're really saying is that it's irrational in the system of numbers we use, which is the base-10, or decimal, system. But there's nothing inevitable about that system. As you probably know, computers use a base-2, or binary, number system. Base-10 was probably chosen in the analog era because we have 10 fingers to count on. (Fun fact: The Latin root of *digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

Let's review how a number system works. Imagine you're a bean counter back in Neanderthal times. For each successive bean, you write down a different symbol on the wall of your cave. For 200 beans, you need 200 symbols. It's mind-numbing, and so you call them “numbers.”

One day you meet a clever Homo sapiens who says, “You're working too hard!” They have a new system with just 10 symbols, written as 0 to 9, which can represent any quantity of beans. Once you reach 9, you just move over one spot to the left and start again, where each digit is now a multiple of 10. After that it's multiples of 100, and so on in successively higher powers of 10.

Take the number 214: We have 2 hundreds, 1 ten, and 4 ones. We can write what this really means as the following:

]]>For geeks, there are a number of nice holidays on the calendar. There is after all Mole Day (10/23) to commemorate Avogadro’s quantity, which is big (on the order of 10^{23}) and vastly essential in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But one of the best is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial checklist).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that must be particular, however pi reveals up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, positive. The quantity 22/7 (22 ÷ 7) is a good approximation, nevertheless it’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you most likely know, computer systems use a base-2, or binary, quantity system. Base-10 was most likely chosen within the analog period as a result of we have now 10 fingers to rely on. (Fun truth: The Latin root of *digit* is *digitus*, which implies “finger.”)

So may there be a quantity system by which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s evaluate how a quantity system works. Imagine you are a bean counter again in Neanderthal occasions. For every successive bean, you write down a distinct image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which may signify any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively larger powers of 10.

Take the quantity 214: We have 2 lots of, 1 ten, and 4 ones. We can write what this actually means as the next:

]]>For geeks, there are several great holidays on the calendar. There is of course Mole Day (10/23) to commemorate Avogadro's number, which is huge (on the order of 10^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

What is pi (or as the Greeks would say, π)? By definition, it's the ratio of the circumference to the diameter of a circle. It's not obvious why that should be special, but pi shows up in a bunch of cool places that seem to have nothing to do with circles. But one of the weirdest things about pi is that it's an irrational number. That means it's a value that can't be expressed as a fraction of two integers. Oh, sure. The number 22/7 (22 ÷ 7) is a fair approximation, but it's not pi.

But wait a second. When we say pi is irrational, all we're really saying is that it's irrational in the system of numbers we use, which is the base-10, or decimal, system. But there's nothing inevitable about that system. As you probably know, computers use a base-2, or binary, number system. Base-10 was probably chosen in the analog era because we have 10 fingers to count on. (Fun fact: The Latin root of *digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

Let's review how a number system works. Imagine you're a bean counter back in Neanderthal times. For each successive bean, you write down a different symbol on the wall of your cave. For 200 beans, you need 200 symbols. It's mind-numbing, and so you call them “numbers.”

One day you meet a clever Homo sapiens who says, “You're working too hard!” They have a new system with just 10 symbols, written as 0 to 9, which can represent any quantity of beans. Once you reach 9, you just move over one spot to the left and start again, where each digit is now a multiple of 10. After that it's multiples of 100, and so on in successively higher powers of 10.

Take the number 214: We have 2 hundreds, 1 ten, and 4 ones. We can write what this really means as the following:

]]>For geeks, there are a number of nice holidays on the calendar. There is in fact Mole Day (10/23) to commemorate Avogadro’s quantity, which is large (on the order of 10^{23}) and vastly necessary in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But the most effective is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial record).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that needs to be particular, however pi exhibits up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, positive. The quantity 22/7 (22 ÷ 7) is a good approximation, but it surely’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you most likely know, computer systems use a base-2, or binary, quantity system. Base-10 was most likely chosen within the analog period as a result of we now have 10 fingers to rely on. (Fun reality: The Latin root of *digit* is *digitus*, which implies “finger.”)

So may there be a quantity system through which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s evaluate how a quantity system works. Imagine you are a bean counter again in Neanderthal instances. For every successive bean, you write down a distinct image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which may symbolize any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively larger powers of 10.

Take the quantity 214: We have 2 a whole bunch, 1 ten, and 4 ones. We can write what this actually means as the next:

]]>For geeks, there are several great holidays on the calendar. There is of course Mole Day (10/23) to commemorate Avogadro's number, which is huge (on the order of 10^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

What is pi (or as the Greeks would say, π)? By definition, it's the ratio of the circumference to the diameter of a circle. It's not obvious why that should be special, but pi shows up in a bunch of cool places that seem to have nothing to do with circles. But one of the weirdest things about pi is that it's an irrational number. That means it's a value that can't be expressed as a fraction of two integers. Oh, sure. The number 22/7 (22 ÷ 7) is a fair approximation, but it's not pi.

But wait a second. When we say pi is irrational, all we're really saying is that it's irrational in the system of numbers we use, which is the base-10, or decimal, system. But there's nothing inevitable about that system. As you probably know, computers use a base-2, or binary, number system. Base-10 was probably chosen in the analog era because we have 10 fingers to count on. (Fun fact: The Latin root of *digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

Let's review how a number system works. Imagine you're a bean counter back in Neanderthal times. For each successive bean, you write down a different symbol on the wall of your cave. For 200 beans, you need 200 symbols. It's mind-numbing, and so you call them “numbers.”

One day you meet a clever Homo sapiens who says, “You're working too hard!” They have a new system with just 10 symbols, written as 0 to 9, which can represent any quantity of beans. Once you reach 9, you just move over one spot to the left and start again, where each digit is now a multiple of 10. After that it's multiples of 100, and so on in successively higher powers of 10.

Take the number 214: We have 2 hundreds, 1 ten, and 4 ones. We can write what this really means as the following:

]]>For geeks, there are a number of nice holidays on the calendar. There is in fact Mole Day (10/23) to commemorate Avogadro’s quantity, which is large (on the order of 10^{23}) and massively vital in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But the very best is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial listing).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that must be particular, however pi reveals up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, certain. The quantity 22/7 (22 ÷ 7) is a good approximation, but it surely’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you in all probability know, computer systems use a base-2, or binary, quantity system. Base-10 was in all probability chosen within the analog period as a result of we now have 10 fingers to depend on. (Fun truth: The Latin root of *digit* is *digitus*, which suggests “finger.”)

So may there be a quantity system through which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s evaluate how a quantity system works. Imagine you are a bean counter again in Neanderthal instances. For every successive bean, you write down a unique image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which might characterize any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively larger powers of 10.

Take the quantity 214: We have 2 lots of, 1 ten, and 4 ones. We can write what this actually means as the next:

]]>^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

*digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

For geeks, there are a number of nice holidays on the calendar. There is in fact Mole Day (10/23) to commemorate Avogadro’s quantity, which is big (on the order of 10^{23}) and vastly essential in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But the very best is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial record).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that ought to be particular, however pi reveals up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, certain. The quantity 22/7 (22 ÷ 7) is a good approximation, but it surely’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you in all probability know, computer systems use a base-2, or binary, quantity system. Base-10 was in all probability chosen within the analog period as a result of we now have 10 fingers to depend on. (Fun reality: The Latin root of *digit* is *digitus*, which implies “finger.”)

So might there be a quantity system by which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s evaluate how a quantity system works. Imagine you are a bean counter again in Neanderthal occasions. For every successive bean, you write down a unique image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which might symbolize any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively increased powers of 10.

Take the quantity 214: We have 2 a whole bunch, 1 ten, and 4 ones. We can write what this actually means as the next:

]]>^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

*digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

For geeks, there are a number of nice holidays on the calendar. There is after all Mole Day (10/23) to commemorate Avogadro’s quantity, which is large (on the order of 10^{23}) and vastly essential in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But one of the best is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial listing).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that must be particular, however pi exhibits up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, certain. The quantity 22/7 (22 ÷ 7) is a good approximation, however it’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you most likely know, computer systems use a base-2, or binary, quantity system. Base-10 was most likely chosen within the analog period as a result of now we have 10 fingers to depend on. (Fun truth: The Latin root of *digit* is *digitus*, which suggests “finger.”)

So may there be a quantity system through which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s evaluate how a quantity system works. Imagine you are a bean counter again in Neanderthal instances. For every successive bean, you write down a special image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which might characterize any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively increased powers of 10.

Take the quantity 214: We have 2 lots of, 1 ten, and 4 ones. We can write what this actually means as the next:

]]>^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

*digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

For geeks, there are a number of nice holidays on the calendar. There is after all Mole Day (10/23) to commemorate Avogadro’s quantity, which is big (on the order of 10^{23}) and vastly essential in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But the most effective is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial listing).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that ought to be particular, however pi exhibits up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, certain. The quantity 22/7 (22 ÷ 7) is a good approximation, nevertheless it’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you most likely know, computer systems use a base-2, or binary, quantity system. Base-10 was most likely chosen within the analog period as a result of we’ve got 10 fingers to rely on. (Fun truth: The Latin root of *digit* is *digitus*, which implies “finger.”)

So may there be a quantity system during which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s assessment how a quantity system works. Imagine you are a bean counter again in Neanderthal occasions. For every successive bean, you write down a special image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which may symbolize any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively greater powers of 10.

Take the quantity 214: We have 2 a whole lot, 1 ten, and 4 ones. We can write what this actually means as the next:

]]>^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

*digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

For geeks, there are a number of nice holidays on the calendar. There is after all Mole Day (10/23) to commemorate Avogadro’s quantity, which is large (on the order of 10^{23}) and vastly vital in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But the very best is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial listing).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that ought to be particular, however pi exhibits up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, certain. The quantity 22/7 (22 ÷ 7) is a good approximation, nevertheless it’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you in all probability know, computer systems use a base-2, or binary, quantity system. Base-10 was in all probability chosen within the analog period as a result of now we have 10 fingers to rely on. (Fun reality: The Latin root of *digit* is *digitus*, which suggests “finger.”)

So may there be a quantity system through which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s assessment how a quantity system works. Imagine you are a bean counter again in Neanderthal instances. For every successive bean, you write down a special image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which might symbolize any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively larger powers of 10.

^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

*digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

For geeks, there are a number of nice holidays on the calendar. There is in fact Mole Day (10/23) to commemorate Avogadro’s quantity, which is big (on the order of 10^{23}) and massively essential in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But the perfect is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial record).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that ought to be particular, however pi reveals up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, certain. The quantity 22/7 (22 ÷ 7) is a good approximation, but it surely’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you most likely know, computer systems use a base-2, or binary, quantity system. Base-10 was most likely chosen within the analog period as a result of we now have 10 fingers to rely on. (Fun reality: The Latin root of *digit* is *digitus*, which suggests “finger.”)

So may there be a quantity system during which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s overview how a quantity system works. Imagine you are a bean counter again in Neanderthal instances. For every successive bean, you write down a unique image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which might signify any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively increased powers of 10.

Take the quantity 214: We have 2 a whole lot, 1 ten, and 4 ones. We can write what this actually means as the next:

]]>^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

*digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

For geeks, there are a number of nice holidays on the calendar. There is in fact Mole Day (10/23) to commemorate Avogadro’s quantity, which is big (on the order of 10^{23}) and vastly essential in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But the very best is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial listing).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that ought to be particular, however pi reveals up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, certain. The quantity 22/7 (22 ÷ 7) is a good approximation, however it’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you most likely know, computer systems use a base-2, or binary, quantity system. Base-10 was most likely chosen within the analog period as a result of we’ve 10 fingers to depend on. (Fun truth: The Latin root of *digit* is *digitus*, which implies “finger.”)

So may there be a quantity system during which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s evaluate how a quantity system works. Imagine you are a bean counter again in Neanderthal occasions. For every successive bean, you write down a distinct image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which might signify any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively greater powers of 10.

Take the quantity 214: We have 2 a whole lot, 1 ten, and 4 ones. We can write what this actually means as the next:

]]>^{23}) and hugely important in physics. There's e Day (2/7) for Euler's ubiquitous number (e = 2.718…). But the best is Pi Day, held on March 14 because the infinitely long decimal approximation of pi begins with 3.14. There's so much to say about pi—I've been writing Pi Day posts for 14 years. (Here's a partial list).

*digit* is *digitus*, which means “finger.”)

So could there be a number system in which pi is rational? The answer is yes.

Wait, What’s a Number System?

For geeks, there are a number of nice holidays on the calendar. There is in fact Mole Day (10/23) to commemorate Avogadro’s quantity, which is large (on the order of 10^{23}) and vastly essential in physics. There’s e Day (2/7) for Euler’s ubiquitous quantity (e = 2.718…). But the very best is Pi Day, held on March 14 as a result of the infinitely lengthy decimal approximation of pi begins with 3.14. There’s a lot to say about pi—I’ve been writing Pi Day posts for 14 years. (Here’s a partial listing).

What is pi (or because the Greeks would say, π)? By definition, it is the ratio of the circumference to the diameter of a circle. It’s not apparent why that ought to be particular, however pi exhibits up in a bunch of cool locations that appear to have nothing to do with circles. But one of many weirdest issues about pi is that it is an irrational quantity. That means it is a worth that may’t be expressed as a fraction of two integers. Oh, certain. The quantity 22/7 (22 ÷ 7) is a good approximation, nevertheless it’s not pi.

But wait a second. When we are saying pi is irrational, all we’re actually saying is that it is irrational within the system of numbers we use, which is the base-10, or decimal, system. But there’s nothing inevitable about that system. As you in all probability know, computer systems use a base-2, or binary, quantity system. Base-10 was in all probability chosen within the analog period as a result of we’ve 10 fingers to depend on. (Fun truth: The Latin root of *digit* is *digitus*, which suggests “finger.”)

So may there be a quantity system through which pi is rational? The reply is sure.

Wait, What’s a Number System?

Let’s overview how a quantity system works. Imagine you are a bean counter again in Neanderthal occasions. For every successive bean, you write down a unique image on the wall of your cave. For 200 beans, you want 200 symbols. It’s mind-numbing, and so that you name them “numbers.”

One day you meet a intelligent Homo sapiens who says, “You’re working too hard!” They have a brand new system with simply 10 symbols, written as 0 to 9, which might signify any amount of beans. Once you attain 9, you simply transfer over one spot to the left and begin once more, the place every digit is now a a number of of 10. After that it is multiples of 100, and so forth in successively increased powers of 10.

Take the quantity 214: We have 2 a whole bunch, 1 ten, and 4 ones. We can write what this actually means as the next:

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