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 triangle. I hope to do other ram horns of different shapes and rates of growth. I chose these for my first because they please me. Andrew Crompton has already tessellated on a cone and Peter Raedschelders, Hans Kuiper, Robert Fathauer and Hop David have done tessellations along logarithmic spirals.
Tessellation Strictly speaking tessellations are tiles that cover the plane without gaps or overlap.
I extend this idea into three dimensions though. I also label tesselations polyhedra that stack to fill space without gaps or overlap. Tessellations, My Blocks Vs Zaks Toys that tessellate have the power to approximate any shape. This page discusses this power and also contrasts my block with a similar toy that does not tessellate as well as Delta Blocks. This page discusses my toy which was inspired by M.C. Escher's print Flatworms.