{"id":27028,"date":"2020-12-01T12:29:05","date_gmt":"2020-12-01T17:29:05","guid":{"rendered":"http:\/\/mathkind.meetgroundswell.com\/?post_type=global-math-stories&p=27028"},"modified":"2026-04-11T18:11:22","modified_gmt":"2026-04-11T22:11:22","slug":"peru-machu-picchu","status":"publish","type":"global-math-stories","link":"https:\/\/mathkind.org\/es\/global-math-stories\/peru-machu-picchu\/","title":{"rendered":"Per\u00fa | Machu Picchu"},"content":{"rendered":"

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PERU<\/h3>\n
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Math and Mystery of the Inca<\/h1>\n

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By Marisa Laks<\/p>\n

New York, NY, United States<\/p>\n

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The earliest records of the Inca in South America date back to the 12th century. Over the next 300 years, the Inca of Cuzco, Peru<\/strong>, expanded their empire by conquering nearby communities. In the century before the Spanish Conquest, the Inca Empire spanned South America from Chile to Colombia.<\/p>\n

Knot for Everyone<\/span><\/strong><\/p>\n

\"\"The Inca kept records using a mathematical system of knots called a\u00a0quipu<\/em>. Using a base 10 system, they knotted strings to represent place values, similar to the numbers we use today.\u00a0Strings of contrasting colors represented the objects being counted. Wherever a quipu went, a trained expert followed, in order to translate its information and maintain its accuracy.<\/p>\n

In addition to the quipu, the Inca used a counting board, similar to an abacus, called a\u00a0yupana<\/em>. Sometimes a yupana could be as big as a table. Unfortunately, there is not as much information about how to use this tool.<\/p>\n

Amazing Architecture<\/span><\/strong><\/p>\n

The Inca were expert architects and engineers even without the use of wheels, draft animals, or iron tools. In a short period of time, the Inca created a sophisticated network of roads and structures. Many of these structures are still perfectly intact today.<\/p>\n

Ancient Inca construction was so precise that stone buildings were built without the use of mortar. It is said that their stones fit together so perfectly that a knife blade could not fit between them. This expert interlocking arrangement provided enough flexibility that during earthquakes the walls were able to wobble. Once the tremors ended, the stones settled back into place. Reports abound in Peru of earthquakes leveling modern buildings while centuries-old Incan walls stayed intact.<\/p>\n

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Perhaps the most impressive structures can be found at the renowned Machu Picchu. Stretching over five miles, this mountain fortress was built during the 15th century, most likely as a retreat for the emperor and his family as well as other aristocrats. The lack of evidence of fighting suggests that it had no military purpose. Over 3,000 stone steps connect the various levels and buildings.<\/p>\n

It was then abandoned sometime around the Spanish conquest of the 1530s. Although nobody knows for certain, a smallpox epidemic might have wiped out the residents. Archaeologists are convinced that invading conquistadors did not find Machu Picchu.<\/p>\n

From Every Angle<\/span><\/strong><\/p>\n

If you visit this site, you\u2019ll see many geometric features. For example, there are parallel terraces built into the side of the mountain that were used for farming and architectural support. Many of the windows and doorways are trapezoids for greater stability. The\u00a0Temple of the Sun\u00a0is an elliptical shape whose windows align with the sun during the summer solstice.<\/p>\n

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Geometric features are also found in many other Inca sites, such as\u00a0Ollantaytambo\u00a0and\u00a0Sacsayhuam\u00e1n. Although the Inca Empire was only around for a short amount of time, it left a lasting legacy that still intrigues and amazes people today!<\/p>\n

Have a suggestion for this story? We\u2019d love for you to\u00a0submit it!<\/a><\/em><\/p>\n

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Are you a teacher who\u2019s interested in telling this story to your students? Here are two slideshows you can use to get started.<\/p>\n

Part 1: Architecture and Geometry<\/p>\n