OpenLayers 3: arranging own tiles without projection

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I have own tiles (.png) of 512x512 pixels and I would like to display them in OpenLayers 3 without projection (for now). Therefore I found a way to use the ZOOMIFY projection but with a "ol.layer.Tile"-Layer.(original source: https://groups.google.com/forum/#!topic/ol3-dev/VVdNXHwiZEk)

So far it works more or less, but I am encountering problems providing the right extent of the layer. I have a map DIV of 1024x512 pixels and strangely for zoom level 0: only the left tile is displayed (the right one is missing).

Zoom level 0 has a resolution of 2 (check the variable resolutions) and therefore I thought that I need an extent of 2048(x) and 1024(y) to display 2 tiles of zoom level 0. [1][2]

My guess is that the provided extent causes the problems.

Any ideas how to improve on this?

Here's a jsfiddle: http://jsfiddle.net/vb53xz20/

[1]tile1: services.arcgisonline.com/arcgis/rest/services/ESRI_Imagery_World_2D/MapServer/tile/0/0/0.png

[2]tile2: services.arcgisonline.com/arcgis/rest/services/ESRI_Imagery_World_2D/MapServer/tile/0/0/1.png



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