Purlsoho.com has some great cotton and linens in prints similar to this.

i don't know of that fabric -- but here's some other ideas with red and white (and black) floral ideas:

from Maharam:
Happy by Kvadrat 106
Oda by Kvadrat 730 or 834
Names 462510 by Alexander Girard, 001 Crimson On White (not floral though)
Textiles of the 20th Century Orakelblume 008 Poppy

http://www.sewmamasew.com/ccp0-prodshow/LTWFCH.html

http://www.sewmamasew.com/ccp0-prodshow/RLFMRE.html

http://cgi.ebay.com/FABRIC-DELI-vintage-40s-50s-RED-COTTON-MATERIAL-fq_W0QQitemZ120293729154QQcmdZViewItem?hash=item120293729154&_trkparms=72%3A570%7C39%3A1%7C66%3A2%7C65%3A12%7C240%3A1318&_trksid=p3286.c0.m14&timeout=1218566279762

try this: http://www.contemporarycloth.com/cgi-bin/Store/store.cgi?cart_id=2892314.13075.s0&product=Anna_Maria_Horner_-_Home_Dec&productid=drawingroom_8--m1&sales=0&lastmenu=submenu-1000.html

or this: http://www.discountfabricsusacorp.com/violrbyra.html

isn't that an anthropology chair??

that is an anthropologie chair... love it!

for red fabrics similar:

http://www.jcarolinecreative.com/Merchant2/merchant.mvc?Screen=PROD&Product_Code=1019-002002-001&Category_Code=

http://www.jcarolinecreative.com/Merchant2/merchant.mvc?Screen=PROD&Product_Code=1019-002003-003&Category_Code=

http://www.jcarolinecreative.com/Merchant2/merchant.mvc?Screen=PROD&Product_Code=1019-002004-003&Category_Code=

http://www.jcarolinecreative.com/Merchant2/merchant.mvc?Screen=PROD&Product_Code=1019-002005-004&Category_Code=

http://www.jcarolinecreative.com/Merchant2/merchant.mvc?Screen=PROD&Product_Code=1030-000910-016&Category_Code=

ok - this one isn't so similar, but its SO cool!
http://www.jcarolinecreative.com/Merchant2/merchant.mvc?Screen=PROD&Product_Code=1030-003157-001&Category_Code=

http://www.jcarolinecreative.com/Merchant2/merchant.mvc?Screen=PROD&Product_Code=1032-001689-001&Category_Code=

really - there are so many at jcarolinecreative and they have such great pricing (and send samples)... good luck!

Upholstery weight fabric in red and white:

http://www.jandofabrics.com/proddetail.asp?prod=fhu00002

Or its inverse:

http://www.jandofabrics.com/proddetail.asp?prod=fhu00003

It looks like a Marimekko and knowing Anthropologie, it's exclusive to them.

it is exclusive to anthropologie. they do not sell fabric whatsoever, but if you really enjoy the pattern and perhaps the chair itself they do have promotional upholstery events (25% off) for the months of april and september.

Some of the fabrics on the Anthopologie furniture is designed by Josef Frank and is available at justscandinavian.com

some of the fabrics are.. oops

i work for anthropologie and i am happy to say that we just started selling fabric by the yard! i am not familiar with all the fabrics offered but do check it out. if you don't have luck online, call a store. they should know about it. hope that helps.

another nice pattern that's popular and about the same scale is
Imperial Trellis by KWID
this blog has a snap of it in red as wallpaper behind the author http://www.absolutelybeautifulthings.blogspot.com/
I think she also has some examples on her blog where she used the fabric on chairs.
Chloe Sevigny used the green wallpaper in her apartment, which is here on AT:
http://www.apartmenttherapy.com/ny/slinks/slinksn-slingks-surreptitious-web-links-to-other-good-sites-016028

We carry the coolest home dec fabrics in chicago - and you can buy them online too! Our stock is ever rotating, but check here to see what's in:
http://www.theneedleshop.etsy.com
Most of our heavier weights are in the $15/yd range.
http://www.theneedleshop.net

I have new chair or fabic.
naturalfabricman@yahoo.com