Geometric Visualization

Page 1 <img data-url='document/geometric-visualization.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/1.jpg' width='140' height='200' /> Geometric Visualization

You can’t always trust your eyes!

Page 2 <img data-url='document/geometric-visualization.html?page=2' data-page='2' class='cut-thumb lazyload' alt='Page 2: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/2.jpg' width='140' height='200' /> The Diagonal Lines are Parallel

Page 3 <img data-url='document/geometric-visualization.html?page=3' data-page='3' class='cut-thumb lazyload' alt='Page 3: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/3.jpg' width='140' height='200' /> The horizontal lines are parallel

Page 4 <img data-url='document/geometric-visualization.html?page=4' data-page='4' class='cut-thumb lazyload' alt='Page 4: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/4.jpg' width='140' height='200' /> There are no curved lines in these pictures

Page 5 <img data-url='document/geometric-visualization.html?page=5' data-page='5' class='cut-thumb lazyload' alt='Page 5: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/5.jpg' width='140' height='200' /> The red lines are parallel

Page 6 <img data-url='document/geometric-visualization.html?page=6' data-page='6' class='cut-thumb lazyload' alt='Page 6: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/6.jpg' width='140' height='200' /> The shape is a circle on the left and squares on the right

Page 7 <img data-url='document/geometric-visualization.html?page=7' data-page='7' class='cut-thumb lazyload' alt='Page 7: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/7.jpg' width='140' height='200' /> The pillars are identical in size

Page 8 <img data-url='document/geometric-visualization.html?page=8' data-page='8' class='cut-thumb lazyload' alt='Page 8: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/8.jpg' width='140' height='200' /> The red lines are the same length

Page 9 <img data-url='document/geometric-visualization.html?page=9' data-page='9' class='cut-thumb lazyload' alt='Page 9: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/9.jpg' width='140' height='200' /> You can go from corner A to corner B by climbing the stairs or by going

around a level plane.

Page 10 <img data-url='document/geometric-visualization.html?page=10' data-page='10' class='cut-thumb lazyload' alt='Page 10: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/10.jpg' width='140' height='200' /> The Impossible Triangle

Page 11 <img data-url='document/geometric-visualization.html?page=11' data-page='11' class='cut-thumb lazyload' alt='Page 11: Geometric Visualization' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022082323/5559b42ad8b42a236c8b4575/html5/thumbnails/11.jpg' width='140' height='200' />

Geometric Visualization

Education

curved lines

red lines

diagonal lines

horizontal lines

pink squares

gray spots

white circles

cornerato cornerbby