Lanternland - A Rabelaisian World of Platonic Discoveries by Pierre Beaoudry - With Several Drawings by the Author (2001).pdf
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ELEMENTARY CONSTRUCTIVE GEOMETRY
(FIRST DRAFT)
A RABELAISIAN WORLD OF PLATONIC DISCOVERIES
BY PIERRE BEAUDRY
WITH SEVERAL DRAWINGS BY THE AUTHOR
THE THREE FACES OF DISCOVERY:
1) PERPLEXITY, 2) AWE, 3) LAUGHTER.
FIGURE 1.
Leesburg Va. August 2, 2001
1
INTRODUCTION:
WHY ARE THERE ONLY FIVE PLATONIC SOLIDS?……………14
PROLOGUE
HOW TO GO FROM A LOWER DIMENSION TO A HIGHER DIMENSION…23
FIGURE 2.
2
FIGURE 3.
3
4
TABLE OF CONTENTS
PART I
GEOMETRIC CONSTRUCTION
BY SIMPLE CIRCULAR ACTION
1- THE REVOLUTIONS OF LANTERNLAND ARE NOT
ACCOMPLISHED BY SLAUGHTER, BUT BY LAUGHTER……...27
2- WHERE DO POINTS AND LINES COME FROM?…………………30
3- HOW THE LEAST ACTION PATHWAY OF LANTERNLAND,
WAS DISCOVERED BY WAY OF A CONTEST………………… 32
4- HOW TO USE YOUR COMPASS AND DIVIDER, AND CONSTRUCT
A SIX POINT HEXAGON INSIDE OF A CIRCLE…………………35
5- CAN BEES MAKE CREATIVE DISCOVERIES? …………………43
5
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