Nets and building instructions
Prime net is a square with
edges marked in phi ratio
Left: Square with edge’s marked
in Golden Ratio.
Right: Flip the small triangle to
make the E tetra.
Centre top: folding.
Centre: Examples of packing the
Rhombic Triacontahedron frame with E tetra
We will focus on constructing the four golden tetra, EUVW, and show
how they combine to create larger EUVW’s.
Phi tetrahedron called ‘E’ tetra after
Below: smaller by phi E’s pack to make
larger E tetrahedron.
E Tetra can also be made with V & W’s
Three further phi tetra: ‘UVW’ discovered
by David Koski.
These pack with ‘E’s to form higher
E tetra can be any size
Every phi tetra can pack with smaller &
smaller phi tetra. Infinite compression,
maximum store, infinite energy.
Net for UVW tetrahedra
By sub dividing the edges of the square further, using phi ratio
lengths, the two triangles used to make the UVW’s can be
The UVW tetra are colour
By following the colours
shown in the nets each
tetra & its mirror can be
U = red & green
V = violet & yellow
W = blue & orange
A little trial and error will
give the needed
arrangements for all six
There is only one triangle needed to make the U tetra, there are
Larger U tetra can be made by combining UVW’s, colour coding
indicates the tetra involved and how they pack together.
Every division along the edge length of the larger U is phi ratio
Graphics using the vZome software.
Nets for the W tetrahedron
Close study of these nets reveals two different triangles, you can
see the lengths of these triangles are different, a mark is drawn on
two edges to indicate they are equal in length, this shows how to
arrange the four triangles that make the W.
Arranging the UVW’s in this way will
construct a larger W.
It can be fun trying to discover how
they are packed.
Above: Three phi ratio sizes of W’s are
shown, each made from UVW’s.
Nets showing how the two
triangles attach to make the
Larger V made from UVW’s
The same procedure is taken to make larger V’s, colour coding
reveals how to arrange the smaller UVW’s.
V tetra packing
There is enough here to make the
Trial and error is to be expected.
Original UVW models
Making these gave enough information to make the coloured versions.