T... | Hexaflexagons, Probability Paradoxes, And The
: A more complex model with six faces, originally investigated by the "Flexagon Committee"—a group that included legendary physicist Richard Feynman and mathematician John Tukey .
In the autumn of 1939, a British graduate student named Arthur Stone was trimming American-sized paper to fit his European binder. Bored with the leftover strips, he began folding them into triangles. What he discovered wasn't just a toy, but a gateway into a world where paper behaves like a higher-dimensional object. This discovery eventually became the centerpiece of Martin Gardner’s first book , Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi . The Hexaflexagon: More Than Meets the Eye Hexaflexagons, Probability Paradoxes, and the T...
Gardner’s work didn't stop at paper-folding; he famously explored how our intuition fails when faced with probability. These "paradoxes" show that the "obvious" answer is often mathematically impossible. History - Hexaflexagons - David Mitchell's Origami Heaven
At first glance, a looks like a flat, six-sided polygon with only two faces. However, through a series of "pinches" and folds, you can "flex" it to reveal entirely new surfaces.
To mathematicians, these aren't just parlor tricks; they are a study in —the branch of math concerned with the properties of space that remain preserved under continuous deformation. A hexaflexagon is essentially a Möbius strip with extra twists, folded into a flat plane. Probability Paradoxes: When Logic Fails
The most prefered solution by millions of users for extracting all formats of mobile phone numbers from texts and other files and presents them in a format that can be readily exported into other applications.
Online marketing just got easier with our free online GSM and phone number extractor tool. It is a all-in-one online application that was written to meet the needs of online marketers and anyone interested in extracting phone numbers from other texts contents.
It can extract out both international & local phone numbers from texts. It has an inbuilt intelligent logic that filters out, joins up and trims Nigerian Phone numbers. With this features one dont need to do any other formatings to extracted number since the software already does that.
Summarily, www.PhoneNumberExtractor.com, allows you to Extract GSM Numbers from a text file, Generate Phone Numbers in a random or sequential order, Subtract a collection of GSM Numbers from another collection, reformat a group of numbers to have desired prefix and also classify phone numbers into desired groupings.
Extract all Formats of Phone Numbers from text, files and web.
Phone Number Extractor Page
You can perform "Crude Extraction" or "Purified Extraction". Crude extraction allows you to extract any kind of GSM numbers. Purified Extraction allows you to extract and purify Nigerian Numbers.
Data Input Mode
You can paste your raw data in the box
You can paste up to 20 links in the box( separate each link by New Line)
You can also browse up a text or html file for extraction
Options
You can select desired output number separator eg comma, newline etc
You can allow or remove duplicate from extraction result
You can show or Hide numbers that the logic could not resolve
You can sort or randomize extraction result
Notifications
For small task, you wont be mandated to specify your email, but your email is required for bigger task. When your task is queued up in the server, you may go offline or wait, since the extraction goes on to completion in the server. If you have specified your email, a the result would be mailed to you. SMS notification is only active for task that has been queued up in the server.
Generates GSM Phone Numbers of all country, Random and Sequential
Phone Number Generator Page
You can generate thousands of GSM numbers with this page provided your desired phone number is more than 7 characters in length. You can initiate a sequential or Random Number generation.
Number Count
This is the count of number you want to generate.
Number Prefix
You can configure the number to a desired operator-specific phone number by specifying the Prefix. When specifying the prefix, each prefix should be separated by a "COMMA" when no prefix is specified, 4 asterisks are used as the default prefix.
Starting Number
This option is only required for sequential number generation. This is the value you want the sequential generator to start from. Ignore the option if the "Random Generation" mode is selected.
Phone Number Subtractor Page
This page helps you can delete a particular number or some group of numbers from a numbers list. Paste or upload the unwanted numbers in the yellow box and paste or upload the number list in the blue box, then click the "Subtract Phone Number" button.
Split Phone Numbers into Groups
Upload or paste the numbers, Specify the desired count of number in each group, choose your other preference and then click the "Split Numbers into group button"
Reformat Phone Numbers Page
This functions will help you to reformat your extracted phone numbers. For instance, if the you wish to convert your phone numbers from local format to international format, you may need to replace the first X digit of each number with the specified international prefix code. eg, if I wish to convert a Nigerian phone Number like 08061111114, to international number, I would use,
Replace the first1digits with234
OR Preserve the last10digits and replace the remainder with234
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