This is my attempt to simplify the dual-grid concept for pico8, and come up with a reduce tile set that works with map to make level design and edits easy and fast.

Inspired by the video https://www.youtube.com/watch?v=jEWFSv3ivTg by Jess::codes. check it out for a great breakdown of the dual-grid concept.

The full tile set needs 16 tiles (14 edges, 2 solid). I figured that by rearranging them into a single row in the sprite sheet I could use a single offset number instead of a lookup table.
since only 4 bits are needed for an offset of 16 and in the dual-grid 4 corners are checked, using the corresponding binary number to determine placement order. 0000 for base and 1111 top. check out the following image for placement.

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tilemap dual grid round map dualgrid