Uniform Tessellations - Based on (2,p,q) - Non-convex (general)

Based on (p,q,r)

• Based on (2,2,p)
• Based on (2,3,p)
• Based on (2,p,q)
  The figures based on (2,4,4) are the uniform tessellations on the Euclid plane. The others are the uniform tessellations on the Hyperbolic plane.
  • Convex (general)
  • Non-convex (general)
    

    	(p,p,q/2)
    p|q r	p|p q/2
    p q|r	p q/2|p
    |p q r	|p p q/2

  • Non-convex (special)
• Based on (p,q,r)

Based on (p,q,r,...,s)

Complex

p|p q/2

3|3 5/2	4|4 5/2	5|5 5/2	6|6 5/2	7|7 5/2	. . .  Inf|Inf 5/2
3|3 7/2	4|4 7/2	5|5 7/2	6|6 7/2	7|7 7/2	. . .  Inf|Inf 7/2
:	:	:	:	:	. . .  Inf|Inf Inf/2

p q/2|p

3 3/2|3	3/2 4|4	3/2 5|5	3/2 6|6	3/2 7|7	. . .  3/2 Inf|Inf
3 5/2|3	4 5/2|4	5 5/2|5	6 5/2|6	7 5/2|7	. . .  5/2 Inf|Inf
3 7/2|3	4 7/2|4	5 7/2|5	6 7/2|6	7 7/2|7	. . .  7/2 Inf|Inf
:	:	:	:	:	. . .  Inf/2 Inf|Inf

|p p q/2

|3 3 5/2	|4 4 5/2	|5 5 5/2	|6 6 5/2	|7 7 5/2	. . .  |Inf Inf 5/2
|3 3 7/2	|4 4 7/2	|5 5 7/2	|6 6 7/2	|7 7 7/2	. . .  |Inf Inf 7/2
:	:	:	:	:	. . .  |Inf Inf Inf/2