Downloading from Eternity E-Book

Jan Mirsbach

• Herausgeber: Books on Demand
• Kategorie: Wissenschaft und neue Technologien
• Sprache: Englisch

Veröffentlichungsjahr: 2018

Beschreibung

For more than 500 years numerous scientists, philosophers and art experts have tried to solve the mystery of Dürers Solid. Nobody has been able to come up with a unique solution to the design of the figure yet. Until now! In this book is given a unique geometric and mathematical solution to one of the great geometric mysteries of early Renaissance. It is a relatively simple solution, but even more interesting is where does the solution come from?

Leseprobe

"The battle between the simple and the complex message, will in human confidence of their own sovereignty most often be won by complexity"

Jan Mirsbach, 2018

Contents

Preface

Introduction

”Melencolia:I” – 1514

Many theories

The two signatures

The Magic Square and Phi

The two spheres

The hypothesis

The initial work

The geometrical construction of Dürers Solid.

The simple geometric construction

The mathematical method

Is that the solution?

Just an intermediate calculation?

The fractal Solution

Then what…….?

Epilogue

Thank you to everybody who have helped and supported me - all of you who have given me the confidence to finish this work even though I often was told this riddle was unsolvable. And thank you to “what-ever” from “where-ever” that placed the solution to this solid in my mind. A very warm and special thanks to my wife Helle and my two sons Michell and Oliver for all their support and not least their patience in frustrating times.

PREFACE

Let me say it right away - I'm neither a mathematician nor a geometrician - my interest is philosophy and not least the grey areas where science, religion and art blend together - where the boundaries dissolve and remain the same depending on the observer.

Since September 2014, where I accidentally encountered the Albrecht Dürer engraving "Melencolia: I", my thoughts have been busy thinking of this strange motive and of course, especially the polyhedron which is the dominating element in the image.

Throughout more than 500 years, scientists have been interested in how this polyhedron - Dürers Solid - has been constructed.

- Maybe they have even been more interested in the design than the question of why it was constructed.

Now, one could think that my thoughts have always been to solve Dürer's mystery - but it is not.

To me, the solution of the geometric and mathematical problem itself is secondary.

In fact, the truth is that my interest specifically has been, from where did Albrecht Dürer get the idea?

In fact, I think that this should be the most interesting question for all people - where do the ideas come from.

I presented the geometric solution of Dürer’s Solid for friends and acquaintances already in November 2014 - the 500th year of its creation.

It should have been a geometrician or mathematician who presented this solution and therefore I have subsequently tried in vain to introduce this solution to geometricians and mathematicians at various institutions.

Immediately you can ask why it has only got to the attempts - with the number of serious researchers who have tried to solve Dürers Solid, there must be some who are interested.

That was at least the way I thought.

But I was wrong!

No "serious" researchers will apparently talk to someone who in their eyes does not have the formal competence for solving this sort of geometric problem.

Among other things, I wrote to a well-known German professor of geometry and mathematics, which also has a great interest in Albrecht Dürer.

I told him that I would like to introduce him to an unambiguous geometric solution of the Dürer Solid and that it was possible to verify mathematically.

- but no, he kindly wrote that his scarce time was too expensive to spend on people he did not know.

After several similar, but in vain, attempts to find mathematicians, geometricians or physicists who might be interested, I thought that people with an interest in Dürer's art would find that a solution to this question which is several hundred-years-old were interesting.

The obvious choice may be the Dürer Museum in Nuremberg - a museum I have visited myself. A museum which is dedicated to the preservation of Dürer's work and history.

I offered - at my own expense - to come and present the solution I had found.

- here I was also mistaken - - so thank you, but no thanks! - no interest!

I had hoped that someone would have been interested in a solution and maybe could use it for something that I do not even have imagination to think about.

I have had no desire to deal with geometry or mathematics, but it came all by itself without me understanding why.

But apparently no one has the interest to use a solution made by a non-educated mathematician.

That is why the result is this book showing the geometric solution of the Albrecht Dürer Solid but also trying to explain my perception of where this solution came from.

- and off course it is a little funny thinking that Albrecht Dürer himself did not have a formal education neither in geometry nor mathematics.

Introduction

My path to Albrect Dürers "Melencolia: I" has been intricately - maybe even quite strange.

In September 2014, I was working on art created by the famous surrealist Salvador Dali from Catalonia.

During this work, I was wondering about a photo of one of Salvador Dali's sculptures

A huge 3-tons rhino that was created and built in 1956 and placed in a roundabout at the end of Av. De las Nacitiones Unidas in Puerto Banus in southern Spain.

Rhino, Puerto Banus, Copyright: <a href='https://www.123rf.com/profile_monysasi'>monysasi / 123RF Stock Photo</a>

It was not because I did not know the work - I've even been on the spot and seen it - but this day it was still like something tricked me and made me start thinking.

Salvador Dali has often created his art by copying and deconstructing works of other artists.

The rhino on the Spanish south coast is a sculpture made from the woodcut by the German artist and mathematician Albrect Dürer, who lived in the late Middle Ages in the beginning of the Renaissance.

Woodcut by Albrecht Dürer 1515.https://en.wikipedia.org/wiki/Dürer%27s_Rhinoceros#/media/File:The_Rhinoceros_(NGA_1964.8.697)_enhanced.png