And now I have learnt it. I understand orbifolds and the group theory necessary to prove Conway's theorem. I have proved the theorem myself, and the corollary that there are only seventeen periodic tessellations of the plane. I still like the subject a lot and I am happy to have written my bachelor thesis about it.
Schlagwort: Geometrie
What academia should always be and feel like.
Where's our sphere?
To
The Inhabitants of SPACE IN GENERAL
And H.C. IN PARTICULAR
This Work is Dedicated
By a Humble Native of Flatland
In the Hope that
Even as he was Initiated into the Mysteries
Of THREE DIMENSIONS
Having been previously conversant
With ONLY TWO
So the Citizens of that Celestial Region
May aspire yet higher and higher
To the Secrets of FOUR FIVE or EVEN SIX Dimensions
Thereby contributing
To the Enlargement of THE IMAGINATION
And the possible Development
Of that most rare and excellent Gift of MODESTY
Among the Superior Races
Of SOLID HUMANITY
Partiell differenzierbar, aber nicht stetig.
Auch Zick-Zack-Wege enthalten einen großen Anteil an Gradlinigkeit.
- 1
- 2