Linus Jarbo

If you divide (or fold) a square in 1/2, 1/3, 1/4, 1/5 etc. and then pile the patterns onto each other. They do not space evenly. Worth noting is that if the pattern doesn't fit at all(while piling), not even partly, it is a prime number and not dividable to a positive integer other than by itself and 1. (for example: 4 fits partly in 2, so 4 is not a prime)

Worth nothing, while stacking each new additional pattern onto all the previously created and stacked pattern(counting), each new pattern/number - adds a specific amount of new lines, dividing the already divided square further.

-If the amount of new lines created with a stacking - equals the number itself minus one, then the number is a prime, because it is not divisible by any other number than itself or one. thus, not fitting with any other lines. (i.e divisions.)

There exist a function that estimates the additional lines for each stacking. However, the function is just an estimate, or else, we would have a mean to calculate prime numbers, all you had to do was compare the amount of added lines with the number you currently where counting with - minus one. (minus one, since the representation of, for example 3, only has 2 lines)

http://www.research.att.com/~njas/sequences/A002088
1, 2, 4, 6, 10, 12, 18, 22, 28, 32, 42,

a(n) = (3/Pi^2)*n^2 + O(n*(log(n))^(2/3)*(log(log(n)))^(4/3));

if
a(n+1) - a(n) = n - 1;
then
n = prime;

turns out this stacking of patterns is the sum of Eulers totient function.
http://www.research.att.com/~njas/sequences/A000010

and one property of the Eulers totient function sequence is that:
For prime n, totient(n) = n - 1

...and if you for any given number want to know how many new lines that would appear in the square compared to the one you have already stacked - you can use this formula.

So - the conclusion is
- it is possible to use a piece of paper to calculate the totient function (if you can fold it)

Education
School of Architecture, Master in Architecture, LTH, Lunds institute of Technology, 94-00
Theoretical Philosophy, 20p, Lunds institute of Philosophy, -97
Grafikskolan Forum, Graphical art, Malmö 91-93
Konstskolan kristianstad, Elementary school of art, Kristianstad,88-90
Undersköterskeutbildningen Milner, Kristianstad, 86


Professional experience

Films
Scoreboard lists, Guldägget, 18 animations(2min10s), TheFanClub, Citypaketet -05
Villospår (Henning Mankell), 3D animation(1 min), Intro, SVT -01
Bango, Storyboard, SJ, Propello -01
Company presentation, storyboard, Skanska, Blanking -01
Bosch, Storyboard, Commercial spot, Denmark, Macveark -01
Intromovie, Pelle Svanslös och den stora skattjakten, Computergame, Backgroundartist, Loonytech, -00
Disco film, Subconscious Architecture, 3d Animation, Displayed Stortorget Lund, -99
Storyboard, The priest, -99
Vignette, Det Vete katten, background painter, SVT Umeå, -98
Advertising film, Volvo , inbetweener, -98
Advertising film, Honey Monsters, special effects, Filmtecknarna AB, -98.
Vignette, Cartoon Network, ink, -98
Skåne, Spåren i ett landskap, background artist, Riksutställningar, -96
Kärlek lasarettet, background artist, -91

Digital
Interaktivt presentation ,flash programming, TetraPak, First Flight
, Haunted House, -06
Kartapplikation, RA international,http://www.rainternationalservices.com ,Haunted House, -06
www.dittval.nu, Character design, 12 illustrations, 6 animations, Haunted House -05
www.thefanclub.se, Interactiv procedural mathematical animation, TheFanClub -05
Screensaver, Procedural mathematical animation, TheFanClub -05
Sony Ericsson, lineart(8), preanimation material, Haunted House -05
Skanska, educational, illustrations(14), Haunted House -05
www.catslikefelix.co.uk, kitchen design, Flash animation, Felix UK. -03
www.tjenare.com, Character illustrations(72), Tjenare AB, -00
Fysicum, Institution information page, illustrations, GIF animations, -00
www.pellesvanslos.com, layout, design and html, Loonytech -00

Illustrations
Poster - 'Don Juans sista dagar', Malmö dramatiska teater, Background painting, Haunted House -05
Receipe Illustrations(52), ink, Högskolan-Skanska, Blanking -01
Colorbook Illustrations(4), leed, Information och precidie Avd, Stockholm -01
Genresurs Centrum, charcoal, Balsgård informationscentral, -97
Äldre trädgårdsväxter, ink, Kristianstad RegionMuseeum, -95
Det skånska naturlandskapet, ink, Kristianstad RegionMuseeum, -94
Naturens Rikedomar, ink, NAMSA, -95
Fjällko och skånegås, Kristianstad RegionMuseeum, ink-brush, -91

Permanent Exhibitions
Malmöhus museum, Touchscreen multimedia book, Illustrations(19), Makt över människan, Malmöhus, -04
Tyresta utemuseum, interior artist, Naturvårdsverket, -97
Hallandsväderö, interior artist, krstd region Museeum,-96
Haväng utemuseum, interior artist, krstd region Museeum, -92

Competitions
"Trädgårdsbyggnad 10 kvm", Sveriges Arkitekter, 'Brödboden',
Stockholmsmässan, public presentation amongst 25 out of 265, -03 The Membrane Design Competition 2000 (japan), results: -Honarable mention #4 out of 200, -00

Characters
Julia, Julia Magazine, Egmont, Copyrights sold -01

Travelling Exhibitions
LundiLund, Ecology and architecture, Lunds stadshall, Ark.utb. Ark1 LTH -01
Från Aristoteles till Charles Magnusson, artist, within Sweden, krstd region Museeum, -94
Lantrasutställningen, Riksutställningar, artist, within Sweden, krstd region Museeum, -93
Östersjöutställningen, artist, Estland, Lettland, Litauen, Polen, Sweden, krstd region Museeum,-91

Magazines
Julia, Colored illustrations, Clipart, Egmont, #1-12/-01, #1-6/-00
Gläntan, copperprint, etching, #2/94, 3/94.
Tuppluren, illustrations, #6/95, 2/95, 5/94, 3/93

Games
Pellesvanslös och den stora skattjakten, intro, object design, gameplatepainter, Loonytech, -00

Comics
Giraf, #1/93, 1/92
Galago, #2/92
Svenska Serier, Semic Press,#2/92, 2/91