Inca Trail to Machu Picchu, the Lost City of the Incas

Bird's-eye view of the Monkey (90 meters / 295 feet long).


Above, left: Bird's-eye view of the Nazca lines, the Monkey (90 meters / 295 feet long). The Nazca Lines are gigantic geoglyphs located in Peru.
Right: Butterfly theorem.

Welcome! Geometry Step-by-Step from the Land of the Incas provides an eclectic mix of sound, science, and Incan history in order to raise students' interest in Euclidean geometry. Visitors will find geometry problems, proofs, quizzes, puzzles, quotations, visual displays, "scientific speculation", Cuzco, Machu Picchu, Lost City of the Incas, Nazca Lines, the Quipu, the Lord of Sipan, Caral: the oldest civilization in the Americas, and more. Site created and maintained by Antonio Gutierrez.

 

This site is best viewed with Firefox or Internet Explorer and at a resolution of 1024 x 768 or higher.

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Recent Additions (Page 4 of 14)

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430.

Euclid's Elements Book I, 23 definitions

Euclid's Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

429.

Sacred Geometry Mind Map

Sacred Geometry

428.

Stewart Theorem

Stewart Theorem. Theorem Triangle and a cevian.

427.

Video Geometry of Circles, 1979 

Geometry of Circles. "Sesame Street" by Philip Glass, 1979..

426.

Stone of twelve angles, Cuzco 

Animation Art and Geometry. "Mona Lisa Descending a Staircase".

425.

School of Athens Perspective 

The School of Athens Perspective: the Central Vanishing Point.

Video.

424.

Interactive Hinged Tessellation 

Interactive Hinged tessellation. Square tessellation - Dynamic Geometry.
Please be patient while the applet loads on your computer. This Java applet requires Java 1.3 or higher.

423.

Stone of twelve angles, Cuzco 

Inca Stone of Twelve Angles, Cuzco. Tunnel effect.

422.

Casey Theorem 

Casey's Theorem. Generalized Ptolemy's Theorem.

421.

Fractal Geometry 

Fractal Geometry Videos: 1, 2, 3, 4, 5

420.

Fractal Geometry Mindmap 

Mind Map of Fractal Geometry
Based on a comprehensive educational resource on the mathematical framework and formalism from the Yale University.

419.

The Theory of Everything 

Geometry is All: An Exceptionally Simple Theory of Everything by A. Garrett Lisi
Is Garrett Lisi another Einstein?
Video: Is this the Theory of Everything? November 25, 2007. November 25, 2007

418.

Lie Group E8 TOE 

Lie group E8' math puzzle solved. This achievement is significant both as an advance in basic knowledge and because of the many connections between E8 and other areas, including string theory and geometry.

417.

Apollonius Problem 

Apollonius' Problem for Three Circles

416.

The Oldest Temple in the Americas 

Seven Circles Theorem

415.

The Oldest Temple in the Americas 

Sangaku Proposed Problem 41. "Mickey Mouse." Updated Three circles, tangents, radii.

414.

The Oldest Temple in the Americas 

Geometry Test: Angles K-12

413.

The Oldest Temple in the Americas 

Finally unearthed after 4000 years, the Peruvian fire temple

412.

Triangle Centers. Word find puzzle.

411.

Charango Inca Music 

Charango Music: Index
Jaime Guardia: Virgenes del Sol
, Carnaval de Tambobamba , Munaspaqa Suyaykuway , Madrecita Linda , Flor de Margarita , Llanto por Llanto.

410.

Proposed Problem 57 

Proposed Problem 57: Angle bisector, circles Cyclic Quadrilateral.

409.

Proposed Problem 56 

Proposed Problem 56: Angle bisector, circles Parallel Lines.

408.

Geometry problem: angle bisector, circles, midpoint of arc 

Proposed Problem 54: Angle bisector, circles Midpoint of arc.

407.

Geometry problem: angle bisector, circles 

Proposed Problem 53: Angle bisector, circles

406.

GoGeometry: New website of Geometry from the Land of the Incas 

GoGeometry New website and domain for Geometry from the Land of the Incas.

404.

Principles and Standards for School of Mathematics. National Council of Teachers of Mathematics NCTM,
Mozilla Firefox Menu Help

403.

Smart Money is on the Science.
 

402.

Math Quotes.
 

401.

Generalizing Van Aubel: Michael de Villiers' Theorems.
 

400.

The Flower of Life Index:
 Christ Redeemer, Taj Mahal,
 Machu Picchu, Chichen Itza

 Roman Colosseum, Petra, Jordan
 Great Wall of China

399.

Mummified Inca maiden wows crowds, Salta, Argentina

398.

Researchers say Italy's 5,000-year-old Iceman died from head trauma, not arrow

397.

The Archimedes Palimpsest
Archimedes Index

396.

Archimedes: 3.14159 is Close Enough
 

395.

Explanation of the Poincare Conjecture - Video
It seeks to understand the shape of the universe by explaining the relationship between shapes, spaces and surfaces.

394.

Mind Map of Zlio: Social-ECommerce
Zlio: Help of the mind map.

393.

Existence of a geometric module in the brain?

With Turnover High, Schools Fight for Teachers

392.

Interactive Geometry Glossary using AnswerTips technology.
Index, E-learning

English as a Second Language ESL

391.

Choquequirao, an ancient Inca site: Canary expedition in search of the white stone llamas.

390.

De Gua's Theorem

389.

Proposed Problem 52: Triangle, angles, incircle.

388.

Mind Map of Web Designer Job Description
 

387.

Machu Picchu is now among seven wonders world July 7, 2007 (07.07.07)
Video: Machu Picchu and the Incas. See the Geometry of the Incas.

386.

Einstein and Pythagoras theorem proof
 

385.

Moche Culture in the news. Satellite Imagery: Royal Tombs of Sipan Museum

384.

Index, Platonic Solids, Interactive animation, Tetrahedron in the cube, Archimedes and the Rhombicuboctahedron with animation, In the News, Video: How to make platonic solids with gum drops and tooth picks

383.

Ranking of the New 7 Wonders finalists as of June 7, 2007
Machu Picchu is one of the Top 10.
The New 7 Wonders of the World will be announced during the Official Declaration ceremony in Lisbon, Portugal on Saturday, July 7, 2007 - 07.07.07.

382.

Copa America 2007 in the news.
 

381.

NC State University paleontologist: 5-foot penguins populated prehistoric Peru
 

380.

Boca Raton in the news.
 

379.

Robert Frost in the news. The Road Not Taken.
 

378.

Nazca Lines in the news
 

377.

Video: New 7 Wonders Finalists
Machu Picchu is one of the Top 10.
The New 7 Wonders of the World will be announced during the Official Declaration ceremony in Lisbon, Portugal on Saturday, July 7, 2007 - 07.07.07.
 Video: Seven Wonders of the Ancient World

376.

The Price Of Raising A Golf Star
 

375.

Play Sudoku Online, Rules and Tips
 

374.

Nanotechnology Golf Shaft
Golf Products Using Nano Materials to Improve Performance.

373.

Golf Mind Map

372.

Machu Picchu and the Flower of Life


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Last updated: June 24, 2008