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The CoreXY arrangement and the very similar H-bot arrangements are popular mechanical arrangement for a RepRap motion stage.
The CoreXY and the H-bot are a Cartesian arrangements -- they makes it easy to move the head in straight lines along axis 90 degrees from the other axis.
There is a small change in the belt pattern from the H-bot arrangement to the CoreXY arrangement. Some people say that the CoreXY arrangement is unconditionally better than the H-bot arrangement. "A Core-XY Implementation: overcoming H-Bot design drawbacks and building a laser-paper-cutter". Other people say that the H-bot arrangement is better than the CoreXY arrangement. 
A CoreXY and a H-bot are a parallel manipulator system. In other words, the motors on a CoreXY system or H-bot system are stationary.
Parallel manipulator systems, such as CoreXY and h-bot and Dualwire-Gantry (DW-G), typically have much lower inertia than serial stackup arrangements. The lower inertia of a parallel manipulator system, when using the same motors and the same forces, typically gives more rapid acceleration than serial stackup arrangements. (For example, the Prusa i3, RepRapPro Mendel, etc. use a serial stackup -- in other words, some of their motors are pushed around by other motors).
The most common CoreXY printer is the low cost SmartCore
Machines in standard aluminium profiles
|Name||Last update||Description||Movement XY||Movement Z||Useful volume||Size||Speed (print/travel)||Link|
|Vulcanus (different sizes)||may 2015||Frame in aluminium profiles, with metal and printed parts||bearings on rods||4 rods and two trapezoidal screws (2 motors)||200 x 200 X 260 (up to 520 x 520 x 1500)||440 x 440 x 600||300 (print? travel?)||http://www.instructables.com/id/Vulcanus-V1-3D-Printer/ http://www.thingiverse.com/thing:821066 http://www.instructables.com/id/Vulcanus-MAX-CoreXY-Aluminum-Frame-RepRap-3D-Print/|
|VSlot-CoreXY||february 2015||Modification and update of project AluXY by zelogik/jand while using Openbuild profiles. Good documentation.||V-slot with wheels (said to be more silent)||with 2 rods 12mm and trapezoidal screw 10mm thread 2||210x195x240||400x400x500||? / ?||https://github.com/sdavi/VSlot-CoreXY|
|C-bot||january 2015||Profiles Openbuilds and printed parts||with V-slot with wheels, non crossing belts||with V-slot, transmissions with 2 trapezoidal screws (2 motors)||250x250x?||500x400x400||? / ?||http://www.openbuilds.com/builds/c-bot.1146/|
|RepRap-XY by "jand"||january 2015||Machine like the AluXY by Zelogic, but with printed parts. Detailed BOM with complementary information||? / ?||https://github.com/jand1122/RepRap-XY|
|AluXY by "Zelogik"||march 2014||Aluminium frame with parts in aluminium||rods 8mm with Igus bearings, crossed belts||With two rods and trapezoidal screw||228x236x217||350x350x300||200 / 350||http://forums.reprap.org/read.php?397,297740 https://github.com/zelogik/AluXY|