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

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)
  • Non-convex (special)
    

    	(2,p,q)	(p,p,q/2)
    p q r|	2 p/(p-1) q| (p,q)=(4,q),(5,q), (6,4),(6,5),(7,4)	p p/(p-1) q/(q-2)| (p,q)=(4,4),(4,5)

• Based on (p,q,r)

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

Complex

2 p/(p-1) q|

(2 3 3/2,3/2|) => 4 4/3|3	2 4 3/2,4/2|	2 5 3/2,5/2|	2 6 3/2,6/2|	2 7 3/2,7/2|	. . .  2 Inf 3/2,Inf/2|
2 3 4/3|	2 4 4/3|	2 5 4/3|	2 6 4/3|	2 7 4/3|	. . .  2 Inf 4/3|
2 3 5/4,5/2|	2 4 5/4|	2 5 5/4|	2 6 5/4|	2 7 5/4|	. . .  2 Inf 5/4|
2 3 6/5|	2 4 6/5|	2 5 6/5|
2 3 7/6|	2 4 7/6|

p p/(p-1) q/(q-2)|

	4 4/3 4/2|	4 4/3 5/3|