Metamorphs - The Book
This page will - in time - carry brief (but growing) discussions of each of the models which are contained in the Tarquin book, Metamorphs.
MODELS 1 and 2:
Both of these models consist of Platonic tetrahedra.
The first has 14 such tetrahedra and its motion tends to have a lot of slack, not the harmonious motion which is characteristic of models with six elements.
The second has 8 such tetrahedra. This is the smallest number of Platonic tetrahedra which can form an invertible ring. Such models are sometimes referred to as "rotating rings".
This model is a version of Vierfach Schatz, which can be made from a single sheet of card. For practical reasons, the editor chose to use three sheets of card which need to be glued together. The original design is shown here.
The two triangles on either side of a dashed line are glued together to create hinges. This glueing is equivalent to the joining of the separate pieces which are used in the book. The rest of the construction process is identical in both cases.
Some people choose to cut off part of the glued areas as the total areas are not required as glueing surfaces.
The second template, being a selected part of the first template, creates the invertible hexagram which is contained within Vierfach Schatz.
This model is a version of Dreifalt Zwei in its first form.
Dreifalt Eins in its first form.
Dreifalt Zwei in its third form.
MODELS 8, 9 and 10:
These models are all FoldForms. Model 8 is a Quadrupler and Models 9 and 10 are versions of Inversis Magic.
This is a remarkable three dimensional version of Inversis Magic (Magic Morpher) which forms a full cube at one stage during its cycle of inversion.
This solid model has the same essential folding pattern as Inversis Magic, as do many models with eight elements.
This is a version of Inversis StarCube (also known as Yoshimoto Cube and Shinsei Mystery). Space restrictions led the editor to make only one of the two (identical) models to be invertible.
It is, however, possible for readers who obtain two copies of the book to create a fully functional StarCube.
Details will be added here as soon as possible.