## 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.

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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)

## Work 2010

Jan 2011 / № 7052

Most of the work in 2010 has been done for editorial and commercial such as Nike Inc.,
Art+Auction Magazine, CEO Magazine and The Prime Russian Magazine.

Click to appreciate it!

Thanks

=(^-^)=

## Oliver Barrett Teams Up with UK Rock Band for Album Packaging

Jan 2011 / № 7024

UK rock band, To Catch a Thief, approached me about working with them on their new album packaging. They simply provided me with the title and I ran with it and came up with an art direction based on vintage horror films. This is just the cover, the rest of the layout is still in production. More to come later.

Oliver Barrett  |  Cleveland, Ohio  |  http://www.ohbarrett.com |  ohbarrett@ohbarrett.com |  Twitter

## Type Design

Jan 2011 / № 6897

```
MICHAEL SPITZ```

## It’s Cool When You Freak On The Music

Jan 2011 / № 6864

“It’s Cool When You Freak On The Music” – Eric B. & Rakim

## Michael Spitz : ID

Jan 2011 / № 6760

`MICHAEL SPITZ`

## Brooklyn Machine Works

Jan 2011 / № 6728

The KDU x Brooklyn Machine Works x Tokyo

The Keystone Design Union has teamed with legendary independent bike company Brooklyn Machine Works.
Early 2011 will mark the brand relaunch with expanded product range, new website, new collaborations and more.

## The KDU Vs ATO

Dec 2010 / № 6604

## Design Collector Mag CALL FOR ARMS

Dec 2010 / № 6557

### HARDER, BETTER, FASTER, STRONGER

Arseny Vesnin (Designcollector) and talented illustrator and iPad monster Fiodor Sumkin (Opera78) started to create the über awesome Digital Magazine “DESIGNCOLLECTOR” Winter 2010/11 for iPad owners.

Illustration below made by Sorin Bechira

## Creative Humans

Nov 2010 / № 6325

I’m proud to present you my latest new project, Creative Humans, commissioned by DesignersCouch.org! You can find more information about it on my Behance, for the making, case study, wallpapers and t-shirts you should visit DesignersCouch.

## SALT FONT.

Nov 2010 / № 6192

## Typoshirt One Feature

Nov 2010 / № 6166

I was lucky enough to get featured in the Typoshirt One Book, below are my submissions + featured designs. <3

## Typographies 4 my web slideshow header

Nov 2010 / № 6136

www.sept-design.com

## Logos, Marks and Symbols

Nov 2010 / № 6021

A selection of logos, marks and symbols designed by Sorin Bechira from 2005 to 2010.

More details here.

A selection of logos, marks and symbols designed by Sorin Bechira from 2005 to 2010.

More details here.

## Hello Couture Poster Series (in association with LoveTwentyTwo©)

Nov 2010 / № 5978

LoveTwentyTwo© brings you Hello Couture. A collaboration of Fashion and Typography, to promote the important relationship between the many different facets of design.

## Date

 October 18 POSTED BY: steveczajka
 September 24 POSTED BY: extraverge
 September 8 POSTED BY: steveczajka