I have found a class of objects for which the appearance of each member changes drastically when it is reflected in a mirror. A typical example is a roof of a garage: it appears to be a rounded roof, but when reflected in a mirror, it changes into a corrugated roof. We named this class of objects “ambiguous solids”.
A rigid object and its mirror image should be mirror images of each other; the object cannot change into another shape. Therefore, what is happening to the reflection is not a physical change, but an optical illusion, created by the perceptual system in our brain.
This book shares the joy of ambiguous solid illusion.
Chapter 1 Let’s Make Ambiguous Solids from Unfolded Surfaces
1.1 Ambiguous Garage Roof
1.2 Convex Hexagon and Twin Triangles
1.3 Jumping Rooster
1.4 Rounded Roof and Triple-Triangle Roof
1.5 Triple-Triangle Roof and Double-Trapezoidal Roof
1.6 Rounded Roof and Double-Trapezoidal Roof
1.7 Height-Reversing Rounded Roof
1.8 Height-Reversing Triangle Roof
1.9 Comet and Star
1.10 Wine Glass and Bottle
1.11 Rocket and UFO
1.12 Bird and Fish
1.13 Ribbon and Crown
Chapter 2 Let’s Appreciate Ambiguous Solid Illusions
2.1 Ambiguous Solids for Basic Shapes
2.2 Playing Card Series
2.3 Garage Roof Series
2.4 Ambiguous Solids for Ordinary Shapes
2.5 Butterfly Series
2.6 Vertical Cylinders Series
2.7 Miracle Mirror Series
2.7.1 Translation Mirror
2.7.2 180° Rotation Mirror
2.7.3 90° Rotation Mirror
2.7.4 Right-Left Relation-Preserving Mirror
2.7.5 Mirror That Turns Over
Chapter 3 Let’s Think about the Mathematics Behind This
3.1 Ambiguity in Depth
3.2 Preference for Right Angles
3.3 Cylinder with a Uniform Length
3.4 How to Make Ambiguous Cylinders
3.5 How to Make Height-Reversing Cylinders
There are many times we encounter with the question of what to do with, for example, with a glass bottle, which by its form or its particularity, we do not want to throw the glass to the container. At the same time, we do not know this for what can serve us.
This happens to us because although we like the bottle, their potential is not exploited.
This manual is for to provide for these objects in glass, an original charm that no leaves us no doubt.
With the procedures and results presented, we shall be able to recycle any glass container and turn it into a unique, original object, which monopolizes all the attention in any of the areas of the house where it is exposed with a highly decorative capacity. With this book we want to provide to the objects of a new functionality and, better still, with a ridiculous investment.