Lanternland - A Rabelaisian World of Platonic Discoveries by Pierre Beaudry - 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

INTRODUCTION:

WHY ARE THERE ONLY FIVE PLATONIC SOLIDS?……………14

PROLOGUE

HOW TO GO FROM A LOWER DIMENSION TO A HIGHER DIMENSION…23

FIGURE 2.

FIGURE 3.

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