## SOLSTICE MMXI

Mar 2011 / № 7302

This is my contribution for Solstice.

## The Roots

Feb 2011 / № 7137

The Roots

The Roots, a typographic piece created for the Keystone Design Union. The KDU espouses many masonic ideals and is connected to the Freemasons of New York. Scottish Thistle, Irish Clover, and British and American Roses reflect the entwined historical roots of the Freemasonry organisation.

Visit DANIELDIGGLE.COM here.

View development images via flickr.

― 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]

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## 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)

## PJRichardson.tv

Nov 2010 / № 6173

I finally put together a personal site for my design and illustration work with hopes of pushing the less commercial side creatively and highlighting the less corporate side of my body of design.

## Process

Oct 2010 / № 5752

Roots.

For all my illustrations, I like to document the whole process, from initial sketches, notes, experiments and doodlings to the final piece. This was initially born out of a fascination as to how many of my favorite artists created their work and for a process that can be very time consuming, it’s a relief to see where you have come from.

Below are a few shots of a work in progress, my own take on the Keystone Design Union’s logo. Most of my work is half planned half evolving at the time and this piece still has a fair way to go.

A brief rationale: Scottish Thistle, Irish Clover, and British and American Roses reflecting the entwined historical roots of the Masonry organisation – and it’s part in the inspiration/creation of the KDU.

Full development images and process can be viewed

― 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)

## Laundry! / Steve Aoki / THE KDU x Hennessy

Oct 2010 / № 5688

This project took almost all year to come together but the results are glorious. The Kdu hq in brooklyn lead by David Gensler, Lex and the team spearheaded this collaboration between a bunch of talented musicians and artists inlcuding myself to create these custom hennessy bottles. Here is one I created with dj steve aoki. For more info about the project and other artists involved click here. Seriously big ups to The Kdu for this opportunity.

## YAW Typeface

Oct 2010 / № 5490

YAW is the new experimental typeface. It is a bitmap, full color typeface. This time around, is a mixture of hand drawn anatomy parts and custom made brushes, with a strong graphical language. Stay tuned for the font release later this year!
More details here.

Click “more” for closeups and details:
Read the rest of this entry »

## New KDU Members Looking for Homes

Sep 2010 / № 5466

The KDU Studios has 5 adorable, healthy, little kittens for adoption. Loving, life long homes are needed.

David Gensler
Read the rest of this entry »

## Paris, France

Sep 2010 / № 5088

After Cognac I traveled via train to Paris. The Roots were being film for www.nowness.com on the train by Oliver and Adam, two amazing photographers from London. I only had two days, which was more than enough, since Paris was experiencing one of the hottest heat waves in its history. I will admit, Paris lives up to the hype. It is a beautiful city with amazing light, architecture and the obvious rich history.

Photographed by:
David Gensler
Read the rest of this entry »

## Nooka Studio Visit – NYC

Sep 2010 / № 5068

Recently stopped by the Nooka Design Studios to visit my friend and KDU member, Matt Waldman.
The studio is inspiring and I had a chance to see Matt’s most recent art sculptures for an upcoming show in LA.

Keep your eyes open for some future KDU x Nooka “something something” special.

www.nooka.com

Photographed by:
David Gensler
Read the rest of this entry »

## Hennessy Flask – Cognac, France

Sep 2010 / № 5052

One major project recently launched with Hennessy. The limited VS Flask Sleeve. These images are from the Hennessy Shop at their global headquarters in Cognac, France.

Photographed by:
David Gensler

## Brooklyn Machine Works – Brooklyn, NY

Sep 2010 / № 4996

We took a trip over to our old friend and neighbor Joe at Brooklyn Machine Works,
the KDU’s newest member. Here are some photos of the shop where we held initial talks.

Photographed by:
David Gensler

Stay tune for more from the KDU x BMW
Read the rest of this entry »

## 2010 Hennessy Artistry

Sep 2010 / № 4991

The Keystone Design Union x Hennessy Artistry

It was an honor to creative direct and design the 2010 Hennessy Artistry Campaign.
Here are a few alternative designs, followed by the actual final art that went live this week, nationwide.

## SHOWUSYOURTYPE / July edition – Berlin

Jul 2010 / № 4326

Hello KDU, I´m featured in july edition of online magazine NEUE check it out
http://www.showusyourtype.com/

## The KDU in Limité Magazine

May 2010 / № 3949

David Gensler

## The KDU Promo Illustration

May 2010 / № 3775

Hi peeps
I just finished my first promo piece for The KDU.

See the full post to see more details and info
Read the rest of this entry »

## Date

 March 6 POSTED BY: brandonminga
 February 12 POSTED BY: diggle
 February 3 POSTED BY: elroyklee