# How can I fill a plane without gaps with regular 4-, 6-, 12-gons

**URL:** <https://discourse.processing.org/t/how-can-i-fill-a-plane-without-gaps-with-regular-4-6-12-gons/39134>\
**Category:** Coding Questions\
**Tags:** homework\
**Created:** [October 7, 2022, 12:57pm UTC](https://discourse.processing.org/t/how-can-i-fill-a-plane-without-gaps-with-regular-4-6-12-gons/39134 "2022-10-07T12:57:14Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![yura](https://avatars.discourse-cdn.com/v4/letter/y/e0b2c6/32.png) [@yura](https://discourse.processing.org/u/yura)\
**Post date:** [October 7, 2022, 12:57pm UTC](https://discourse.processing.org/t/how-can-i-fill-a-plane-without-gaps-with-regular-4-6-12-gons/39134/1 "2022-10-07T12:57:14Z")

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I’m new to processing, and trying to do this task. Maybe you know how to do it, or know where I could read about it.

Thanks in advance for help.

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**Author:** ![mnse](https://yyz2.discourse-cdn.com/flex036/user_avatar/discourse.processing.org/mnse/32/16520_2.png) [@mnse](https://discourse.processing.org/u/mnse)\
**Post date:** [October 7, 2022, 2:20pm UTC](https://discourse.processing.org/t/how-can-i-fill-a-plane-without-gaps-with-regular-4-6-12-gons/39134/2 "2022-10-07T14:20:00Z")

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Hi @yura,

here is somthing to study …

> **[Planigon](https://en.wikipedia.org/wiki/Planigon)**
>
> In geometry, a planigon is a convex polygon that can fill the plane with only copies of itself (isotopic to the fundamental units of monohedral tessellations). In the Euclidean plane there are 3 regular planigons; equilateral triangle, squares, and regular hexagons; and 8 semiregular planigons; and 4 demiregular planigons which can tile the plane only with other planigons. 
> All angles of a planigon are whole divisors of 360°. Tilings are made by edge-to-edge connections by perpendicular bisector...

[http://mathandmultimedia.com/2010/03/05/tessellation-mathematics-of-tiling/](http://mathandmultimedia.com/2010/03/05/tessellation-mathematics-of-tiling/)

Cheers  
— mnse