This is a cardboard model of a logarithmic spiral or maybe helix would
be a better word
The outer walls of the horn are part of a cone whose profile is
an equilateral triangle.
The inner walls are also from a cone whose profile is
an isosceles the same height but half the width of the equilateral
The horn doubles in size every 180 degrees
I hope to do other ram horns of different shapes and rates of growth.
I chose these for my first because they please me.
Template for Ram Horn model -
This would be a good surface to tessellate on.
Andrew Crompton has already tessellated on a cone and
Peter Raedschelders, Hans Kuiper, Robert Fathauer and Hop David
have done tessellations along logarithmic spirals.