## Gully or Gaza?

Jun 2010 / № 4251

Gully or Gaza?.

A still from a series of animations created for a music and arts event Visual Soundclash. A series of artists and dj’s were paired up, the artists creating the visuals for a 15minute set – the dj’s then battling each other and the crowd deciding the winners. The event was created by Plain Janes and held at C.A.M.P – The City Arts & Music Project.

I was paired with the brilliant muli-creative PC Williams, who’s dancehall/bashment set won through to gain us gold overall.

Video sample via youtube or vimeo.

― Daniel J Diggle

Icosidodecahedron

Type Archimedean solid
Elements F = 32, E = 60, V = 30 (χ = 2)
Faces by sides 20{3}+12{5}
Schläfli symbol $begin{Bmatrix} 3 \ 5 end{Bmatrix}$
Wythoff symbol 2 | 3 5
Coxeter-Dynkin
Symmetry Ih
or (*532)
References U24, C28, W12
Properties Semiregular convex quasiregular

Colored faces

3.5.3.5
(Vertex figure)

Rhombic triacontahedron
(dual polyhedron)

Net

A Hoberman sphere as an icosidodecahedron

In geometry, an icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.

An icosidodecahedron has icosahedral symmetry, and its first stellation is the compound of a dodecahedron and its dual icosahedron, with the vertices of the icosahedron located at the midpoints of the edges of either. Convenient Cartesian coordinates for the vertices of an icosidodecahedron with unit edges are given by the cyclic permutations of (0,0,±τ), (±1/2, ±τ/2, ±(1+τ)/2), where τ is the golden ratio, (1+√5)/2. Its dual polyhedron is the rhombic triacontahedron. An icosidodecahedron can be split along several planes to form pentagonal rotundae, which belong among the Johnson solids.

In the standard nomenclature used for the Johnson solids, an icosidodecahedron would be called a pentagonal gyrobirotunda.

[hide]

//

## Area and volume

The area A and the volume V of the icosidodecahedron of edge length a are:

$A = (5sqrt{3}+3sqrt{25+10sqrt{5}}) a^2 approx 29.3059828a^2$
$V = frac{1}{6} (45+17sqrt{5}) a^3 approx 13.8355259a^3.$

## Related polyhedra

The icosidodecahedron is a rectified dodecahedron and also a rectified icosahedron, existing as the full-edge truncation between these regular solids.

The Icosidodecahedron contains 12 pentagons of the dodecahedron and 20 triangles of the icosahedron:

 Dodecahedron Truncated dodecahedron Icosidodecahedron Truncated icosahedron Icosahedron

It is also related to the Johnson solid called a pentagonal orthobirotunda created by two pentagonal rotunda connected as mirror images.

(Dissection)
 Icosidodecahedron (pentagonal gyrobirotunda) Pentagonal orthobirotunda Pentagonal rotunda

Eight uniform star polyhedra share the same vertex arrangement. Of these, two also share the same edge arrangement: the small icosihemidodecahedron (having the triangular faces in common), and the small dodecahemidodecahedron (having the pentagonal faces in common). The vertex arrangement is also shared with the compounds of five octahedra and of five tetrahemihexahedra.

## References

• Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. (Section 3-9)

## Slow Growth

May 2010 / № 3988

Slow Growth.

Slow Growth is the first of a series of ongoing collaborations with illustrator Jessica Allan – Taking turns in adding to the illustration, piece-by-piece, the artwork comes together like a spontanious puzzle of mixed elements – a form of photoshop / illustration tennis. This is (as are most things!) a work in progress. These collaborations and others will find their home on the collaboration website Wolfbite ( as and when the gods deem it good to go live that is… ).

Full development images and process can be viewed here.

― Daniel J Diggle

Icosidodecahedron

Type Archimedean solid
Elements F = 32, E = 60, V = 30 (χ = 2)
Faces by sides 20{3}+12{5}
Schläfli symbol $begin{Bmatrix} 3 \ 5 end{Bmatrix}$
Wythoff symbol 2 | 3 5
Coxeter-Dynkin
Symmetry Ih
or (*532)
References U24, C28, W12
Properties Semiregular convex quasiregular

Colored faces

3.5.3.5
(Vertex figure)

Rhombic triacontahedron
(dual polyhedron)

Net

A Hoberman sphere as an icosidodecahedron

In geometry, an icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.

An icosidodecahedron has icosahedral symmetry, and its first stellation is the compound of a dodecahedron and its dual icosahedron, with the vertices of the icosahedron located at the midpoints of the edges of either. Convenient Cartesian coordinates for the vertices of an icosidodecahedron with unit edges are given by the cyclic permutations of (0,0,±τ), (±1/2, ±τ/2, ±(1+τ)/2), where τ is the golden ratio, (1+√5)/2. Its dual polyhedron is the rhombic triacontahedron. An icosidodecahedron can be split along several planes to form pentagonal rotundae, which belong among the Johnson solids.

In the standard nomenclature used for the Johnson solids, an icosidodecahedron would be called a pentagonal gyrobirotunda.

[hide]

//

## Area and volume

The area A and the volume V of the icosidodecahedron of edge length a are:

$A = (5sqrt{3}+3sqrt{25+10sqrt{5}}) a^2 approx 29.3059828a^2$
$V = frac{1}{6} (45+17sqrt{5}) a^3 approx 13.8355259a^3.$

## Related polyhedra

The icosidodecahedron is a rectified dodecahedron and also a rectified icosahedron, existing as the full-edge truncation between these regular solids.

The Icosidodecahedron contains 12 pentagons of the dodecahedron and 20 triangles of the icosahedron:

 Dodecahedron Truncated dodecahedron Icosidodecahedron Truncated icosahedron Icosahedron

It is also related to the Johnson solid called a pentagonal orthobirotunda created by two pentagonal rotunda connected as mirror images.

(Dissection)
 Icosidodecahedron (pentagonal gyrobirotunda) Pentagonal orthobirotunda Pentagonal rotunda

Eight uniform star polyhedra share the same vertex arrangement. Of these, two also share the same edge arrangement: the small icosihemidodecahedron (having the triangular faces in common), and the small dodecahemidodecahedron (having the pentagonal faces in common). The vertex arrangement is also shared with the compounds of five octahedra and of five tetrahemihexahedra.

## References

• Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. (Section 3-9)

## Polyshedron

Feb 2010 / № 2575

Polyshedron.

Polyshedron, illustration work in progress -  polyhedron, icosidodecahedron, cage structures, female form and a hiding sparrow. Final image to be coloured, probably with a watercolour base. Polyhedron spheres decorated with William Morris patterns.

Full development images and process can be viewed here.

― Daniel J Diggle

Icosidodecahedron

Type Archimedean solid
Elements F = 32, E = 60, V = 30 (χ = 2)
Faces by sides 20{3}+12{5}
Schläfli symbol $begin{Bmatrix} 3 \ 5 end{Bmatrix}$
Wythoff symbol 2 | 3 5
Coxeter-Dynkin
Symmetry Ih
or (*532)
References U24, C28, W12
Properties Semiregular convex quasiregular

Colored faces

3.5.3.5
(Vertex figure)

Rhombic triacontahedron
(dual polyhedron)

Net

A Hoberman sphere as an icosidodecahedron

In geometry, an icosidodecahedron is a polyhedron with twenty triangular faces and twelve pentagonal faces. An icosidodecahedron has 30 identical vertices, with two triangles and two pentagons meeting at each, and 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.

An icosidodecahedron has icosahedral symmetry, and its first stellation is the compound of a dodecahedron and its dual icosahedron, with the vertices of the icosahedron located at the midpoints of the edges of either. Convenient Cartesian coordinates for the vertices of an icosidodecahedron with unit edges are given by the cyclic permutations of (0,0,±τ), (±1/2, ±τ/2, ±(1+τ)/2), where τ is the golden ratio, (1+√5)/2. Its dual polyhedron is the rhombic triacontahedron. An icosidodecahedron can be split along several planes to form pentagonal rotundae, which belong among the Johnson solids.

In the standard nomenclature used for the Johnson solids, an icosidodecahedron would be called a pentagonal gyrobirotunda.

[hide]

//

## Area and volume

The area A and the volume V of the icosidodecahedron of edge length a are:

$A = (5sqrt{3}+3sqrt{25+10sqrt{5}}) a^2 approx 29.3059828a^2$
$V = frac{1}{6} (45+17sqrt{5}) a^3 approx 13.8355259a^3.$

## Related polyhedra

The icosidodecahedron is a rectified dodecahedron and also a rectified icosahedron, existing as the full-edge truncation between these regular solids.

The Icosidodecahedron contains 12 pentagons of the dodecahedron and 20 triangles of the icosahedron:

 Dodecahedron Truncated dodecahedron Icosidodecahedron Truncated icosahedron Icosahedron

It is also related to the Johnson solid called a pentagonal orthobirotunda created by two pentagonal rotunda connected as mirror images.

(Dissection)
 Icosidodecahedron (pentagonal gyrobirotunda) Pentagonal orthobirotunda Pentagonal rotunda

Eight uniform star polyhedra share the same vertex arrangement. Of these, two also share the same edge arrangement: the small icosihemidodecahedron (having the triangular faces in common), and the small dodecahemidodecahedron (having the pentagonal faces in common). The vertex arrangement is also shared with the compounds of five octahedra and of five tetrahemihexahedra.

## References

• Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. (Section 3-9)

## 5125

Dec 2009 / № 1981

5125 typographic illustration.

Typographic piece created for a feature in Pilot magazine. Unfortunately not used in the end, but still a nice piece to have done. Reliefs on the stone work are taken from actual Mayan ruins and a KDU keystone is slipped into the image also. The illustration is based on the Mayan ‘end of cycle’ prediction.

The year 2012 signals the conclusion of one of the most ancient predictions ever made. The Mayan’s, an ancient and advanced civilisation of South America and experts in astronomy, predicted the end of the great cycle of ages in 2012, the Mayan year of 5125.

Full development images and process can be viewed here.

Buy prints here | light & dark

― Daniel J Diggle

## No!

Dec 2009 / № 1975

NO! typographic organic illustration.

Organic and structural typographic illustration, created with Faber Castil and Rotring technical pens. A mass of tangled branches and coral-like fans entwined with sharp structural forms. A sparrow hides amongst the branches guarding her eggs.  Hidden amongst the elements is the words ‘NO!’ – this can be seen best via the development images – meaning hidden amongst the mass. Giclée prints can be bought via Society6.

Full development images and process can be viewed here.

Buy prints here | light & dark

― Daniel J Diggle

## Random Got Beautiful

Nov 2009 / № 1777

Random Got Beautiful.

The final iteration of the first typographic illustration exploring the inking technique. Random Got Beautiful was originaly set to be a collaboration with the second line completed by the other artist, the image was completed by myself in the end. There is also an entirely new version of the third line that may be used in the print version.

Full development images and process can be viewed here.

― Daniel J Diggle

## No!

Sep 2009 / № 1000

NO! typographic organic illustration.

Organic and structural typographic illustration, created with Faber Castil and Rotring technical pens. A mass of tangled branches and coral-like fans entwined with sharp structural forms. A sparrow hides amongst the branches guarding her eggs.  Hidden amongst the elements is the words ‘NO!’ – this can be seen best via the development images – meaning hidden amongst the mass. Set to be a limited run screen-print.

Full development images and process can be viewed here.

― Daniel J Diggle

## She Walks

Sep 2009 / № 873

Work in progress, illustration due to be a limited run screen-print .

She Walks, organic and structural illustration, created with Faber Castil technical pens.

Additions and edits have been made to the original image – flowing hair and sparrow – which can seen via the development images linked below. The final composition will sit upon a solid matt gold tree silhouette and will be printed as a limited run hand drawn screen-print.

Full development images and process can be viewed here.

― Daniel J Diggle

## Silent Noize

Sep 2009 / № 809

A piece completed for a recent exhibition held in East London, United Kingdom.

The Noise of Art exhibition showcased works by a host of London based artists and creatives, each using a 12 inch vinyl record as their canvas.

Silent Noize is an organic typographic piece, which, after discovering rotring pens don’t take well to metallic based inks, was painted onto the vinyl base – the record itself being ‘Deaf Stereo’.

Full development images and process can be viewed here.

― Daniel J Diggle

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## Date

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