Acronym	tepet (old: tepeat)
Name	hyperbolic tetrapentagonal tiling
	©
Circumradius	sqrt[-(1+sqrt(5))/2] = 1.272020 i
Vertex figure	[(4,5)2]
Confer	more general: xPo3o...o3oPxQ*a
External links

This hyperbolic tiling occurs as a ridge faceting subspace in the hyperbolic honeycomb spidded.

Incidence matrix according to Dynkin symbol

o4x5o   (N → ∞)

. . . | 10N |   4 |  2  2
------+-----+-----+------
. x . |   2 | 20N |  1  1
------+-----+-----+------
o4x . |   4 |   4 | 5N  *
. x5o |   5 |   5 |  * 4N

x5o5x   (N → ∞)

. . . | 10N |   2   2 |  1  2  1
------+-----+---------+---------
x . . |   2 | 10N   * |  1  1  0
. . x |   2 |   * 10N |  0  1  1
------+-----+---------+---------
x5o . |   5 |   5   0 | 2N  *  *
x . x |   4 |   2   2 |  * 5N  *
. o5x |   5 |   0   5 |  *  * 2N

s4x5o   (N → ∞)

demi( . . . ) | 10N |   2   2 |  1  4  1
--------------+-----+---------+---------
demi( . x . ) |   2 | 10N   * |  1  1  0
sefa( s4x . ) |   2 |   * 10N |  0  1  1
--------------+-----+---------+---------
demi( . x5o ) |   5 |   5   0 | 2N  *  *
      s4x .   |   4 |   2   2 |  * 5N  *
sefa( s4x5o ) |   5 |   0   5 |  *  * 2N

starting figure: x4x5o