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The disclosure provides roll-up coverings for an architectural opening, and various embodiments of ladder tapes. Embodiments of the roll-up covering include a roller, a first outer elongate tape, a first inner elongate tape and a plurality of slats disposed between the outer and inner elongate tapes

The disclosure provides roll-up coverings for an architectural opening, and various embodiments of ladder tapes. Embodiments of the roll-up covering include a roller, a first outer elongate tape, a first inner elongate tape and a plurality of slats disposed between the outer and inner elongate tapes. The first inner elongate tape can further defines a plurality of collapsible hinge segments disposed along the length of the first inner elongate tape. The collapsible hinge segments can be configured to collapse in order to decrease the effective length of the first inner elongate tape when the first inner elongate tape is rolled up around the roller. The collapsible hinge segments can further be configured to expand in order to increase the effective length of the first inner elongate tape when the roll-up covering is unrolled from the roller.

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1. A roll-up covering for an architectural opening, comprising: a) at least a first outer elongate tape having a first end, a second end, and defining a length between the first end and the second end, the first outer elongate tape further defining a lateral width, a thickness, and a first central l

1. A roll-up covering for an architectural opening, comprising: a) at least a first outer elongate tape having a first end, a second end, and defining a length between the first end and the second end, the first outer elongate tape further defining a lateral width, a thickness, and a first central longitudinal axis between the first end and second end of the first outer elongate tape;b) at least a first inner elongate tape disposed proximate to the outer elongate tape, the first inner elongate tape having a first end, a second end, and defining a length between the first end and the second end, the first inner elongate tape further defining a lateral width, a thickness, and a second central longitudinal axis between the first end and second end of the first inner elongate tape, the first inner elongate tape further defining a plurality of collapsible hinge segments disposed along the length of the first inner elongate tape, the collapsible hinge segments being configured to collapse in order to decrease the effective length of the first inner elongate tape when the first inner elongate tape is rolled up, the collapsible hinge segments being further configured to expand so that the first inner elongate tape attains its length when the roll-up covering is unrolled; andc) a plurality of slats disposed between and coupled to the first outer elongate tape and the first inner elongate tape, the slats being oriented transversely with respect to the first and second central longitudinal axes when the roll-up covering is in an expanded configuration;wherein the plurality of slats, first outer elongate tape, and first inner elongate tape define a sub assembly that is configured to be rolled up, and the first inner elongate tape is located radially inwardly with respect to the first outer elongate tape when the sub assembly is rolled up. 2. The roll-up covering of claim 1, wherein at least one of an inner edge region along an inner edge of at least one slat and an outer edge region along an outer edge of the at least one slat is stiffer than a region between the inner edge region and outer edge region of the at least one slat. 3. The roll-up covering of claim 2, wherein at least one of the inner edge region and outer edge region includes at least one elongate stiffener for increasing the stiffness of the at least one slat, the at least one elongate stiffener defining a length and a central lateral axis along its length. 4. The roll-up covering of claim 3, further comprising: a second outer elongate tape having a first end and a second end opposite said first end, a length along a second outer longitudinal axis extending between said first end and said second end, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width; anda second inner elongate tape disposed proximate to the second outer elongate tape, said second inner elongate tape having a first end and a second end opposite said first end, a length along a second inner longitudinal axis extending between said first end and said second end of said first inner elongate tape, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width. 5. The roll-up covering of claim 4, further comprising: a third outer elongate tape coupled along the outer sides of said slats proximate to an outer region of said slats, said third outer elongate tape having a first end and a second end opposite said first end, a length along a third outer longitudinal axis extending between said first end and said second end, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width; anda third inner elongate tape coupled along the inner sides of said slats proximate to an outer region of said slats, said second inner elongate tape having a first end and a second end opposite said first end, a length along a third inner longitudinal axis extending between said first end and said second end of said first inner elongate tape, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width. 6. The roll-up covering of claim 3, wherein the at least one elongate stiffener has a length parallel to the length of the slat, a width perpendicular to its length, an inward face and an outward face that are defined by surfaces defined by its length and width, and a thickness perpendicular to its length and width, the thickness being less than the width, and the at least one elongate stiffener is comprised of a material different from the materials of at least one of the inner elongate tape, the outer elongate tape and at least one slat. 7. The roll-up covering of claim 3, wherein the at least one elongate stiffener lays in substantially the same plane as one of the first central longitudinal axis of the first outer elongate tape and the second central longitudinal axis of the first inner elongate tape, the at least one stiffener having a width perpendicular to its length, and a thickness perpendicular to its width and its length. 8. The roll-up covering of claim 7, wherein the at least one stiffener has a thickness that is substantially smaller than the width. 9. The roll-up covering of claim 7, wherein the at least one elongate stiffener has a curved cross section in a plane perpendicular to its central lateral axis such that at least one curved face of the at least one elongate stiffener is concave. 10. The roll-up covering of claim 9, wherein the concave face of the at least one stiffener faces inwardly towards a rotational axis when the sub assembly is rolled up around the rotational axis. 11. The roll-up covering of claim 10, wherein: the roll-up covering is rolled about a roller; andthe concave face of the at least one stiffener has a radius of curvature that substantially matches a radius of curvature of the roller. 12. The roll-up covering of claim 9, wherein the at least one slat includes a first stiffener proximate to the inner edge of the at least one slat and a second stiffener proximate to an outer edge of the at least one slat, each of the first and second stiffeners having a concave face. 13. The roll-up covering of claim 12, wherein: the concave faces of the first stiffener and the second stiffener both face in the same direction;the roll-up covering is rolled about a roller; andthe concave faces of the first stiffener and the second stiffener have a radius of curvature that substantially matches a radius of curvature of the roller to facilitate rolling up of the sub assembly. 14. The roll-up covering of claim 12, wherein the at least one slat is formed from a flexible fabric material, and further wherein the stiffeners are formed from at least one of (i) a rigid plastic and (ii) a metallic material. 15. The roll-up covering of claim 14, wherein the flexible fabric material of the at least one slat is disposed between and attached to an outwardly facing face of the first inner tape and an inwardly-facing concave face of the first stiffener along the inner edge of the at least one slat. 16. The roll-up covering of claim 15, wherein the flexible fabric material of the at least one slat is disposed between and attached to an inwardly facing face of the first outer tape and an outwardly-facing convex face of the second stiffener along the outer edge of the at least one slat. 17. The roll-up covering of claim 16, wherein the flexible fabric material of the at least one slat is attached to an inwardly facing face of the first outer tape along a two dimensional contact area that extends parallel to the first central longitudinal axis and transversely with respect to the first central longitudinal axis. 18. The roll-up covering of claim 1, further comprising: a roller having a first end and a second end and defining a width between the first end and the second end, a diameter, a central rotational axis, and a radius of curvature;wherein the first end of the first outer elongate tape is attached to the roller such that the first central longitudinal axis of the first outer elongate tape is oriented generally orthogonally with respect to the central rotational axis of the roller. 19. The roll-up covering of claim 18, wherein the roll-up covering is configurable between an expanded configuration where the slats are open and a region of the slats that extend between the inner and outer elongate tapes are transverse to the central longitudinal axis of the elongate tapes, and a closed configuration wherein the slats are closed and the region of the slats that extend between the inner and outer elongate tapes are substantially parallel to the central longitudinal axis of the elongate tapes. 20. The roll-up covering of claim 19, wherein the sub assembly is in a closed configuration when initially unrolled from the roller. 21. The roll-up covering of claim 19, wherein the sub assembly can be deployed from the collapsed configuration into an expanded configuration wherein the slats are opened by further rotation of the roller. 22. The roll-up covering of claim 21, wherein the first outer elongate tape and the first inner elongate tape are substantially parallel along their length when the sub assembly is in the collapsed configuration and the expanded configuration. 23. The roll-up covering of claim 22, wherein the first outer elongate tape and the first inner elongate tape are substantially parallel along their lengths while the sub assembly is deployed from the collapsed configuration into the expanded configuration. 24. The roll-up covering of claim 1, wherein each hinge segment is preformed into the first inner elongate tape. 25. The roll-up covering of claim 24, wherein a plurality of the slats have an elongate, flexible body having an inner edge attached to the first inner elongate tape, an outer edge attached to the first outer elongate tape, the distance between inner and outer edges defining a slat width, and side edges joining the inner edge and outer edge and the distance between side edges defining a slat length. 26. The roll-up covering of claim 24, wherein each hinge segment is defined by a plurality of spaced apart transverse crease lines that extend at least partially along the width of the first inner elongate tape. 27. The roll-up covering of claim 1, wherein the plurality of slats define a length that is parallel to the lateral width of the first outer elongate tape and first inner elongate tape, the length of the slats being greater than the largest lateral width of at least one of the first outer elongate tape and the lateral width of the first inner elongate tape. 28. A roll-up covering for an architectural opening, comprising: a) at least a first outer elongate tape having a first end, a second end, and defining a length between the first end and the second end, the first outer elongate tape further defining a lateral width, a thickness, and a first central longitudinal axis between the first end and second end of the first outer elongate tape;b) at least a first inner elongate tape disposed proximate to the outer elongate tape, the first inner elongate tape having a first end, a second end, and defining a length between the first end and the second end, the first inner elongate tape further defining a lateral width, a thickness, and a second central longitudinal axis between the first end and second end of the first inner elongate tape, the first inner elongate tape further defining a plurality of collapsible hinge segments pre-formed into and disposed along the length of the first inner elongate tape, the collapsible hinge segments being configured to collapse in order to decrease the effective length of the first inner elongate tape when the first inner elongate tape is rolled up; andc) a plurality of slats disposed between and coupled to the first outer elongate tape and the first inner elongate tape, the slats being oriented transversely with respect to the first and second central longitudinal axes when the roll-up covering is in an expanded configuration, and defining a length that is parallel to the lateral width of the first outer elongate tape and first inner elongate tape, the plurality of slats, first outer elongate tape, and first inner elongate tape defining a sub assembly that is configured to be rolled up, and the first inner elongate tape is located radially inwardly with respect to the first outer elongate tape when the sub assembly is rolled up, the length of the slats being greater than the lateral width of at least one of the first outer elongate tape and first inner elongate tape. 29. The roll-up covering of claim 28, wherein the plurality of collapsible hinge segments are crush-formed into and disposed along the length of the first inner elongate tape. 30. The roll-up covering of claim 29, wherein the plurality of pre-formed collapsible hinge segments are creased. 31. The roll-up covering of claim 28, further comprising: a roller having a first end and a second end, a width between the first end and the second end, a central rotational axis, and a radius of curvature. 32. The roll-up covering of claim 31, wherein the first inner elongate tape and first outer elongate tape are attached proximate to a first end of the slats, and further wherein the roll up covering further comprises: a) a second outer elongate tape having a first end, a second end, and defining a length between the first end and the second end, the second outer elongate tape further defining a lateral width, a thickness, and a third central longitudinal axis between the first end and second end of the second outer elongate tape, the third central longitudinal axis of the second outer elongate tape being oriented generally orthogonally with respect to the central rotational axis of the roller; andb) a second inner elongate tape disposed proximate to the second outer elongate tape, the second inner elongate tape having a first end, a second end, and defining a length between the first end and the second end, the second inner elongate tape further defining a lateral width, a thickness, and a fourth central longitudinal axis between the first end and second end of the second inner elongate tape, the second inner elongate tape further defining a plurality of collapsible hinge segments disposed along the length of the second inner elongate tape, the collapsible hinge segments being configured to collapse in order to decrease the effective length of the second inner elongate tape when the second inner elongate tape is rolled up, the second central longitudinal axis being oriented generally orthogonally with respect to the central rotational axis of the roller. 33. The roll-up covering of claim 32, wherein the first inner elongate tape and first outer elongate tape are spaced apart from the second inner elongate tape and second outer elongate tape along the plurality of slats. 34. The roll-up covering of claim 32, further comprising: a third outer elongate tape coupled along the outer sides of said slats proximate to an outer region of said slats, said third outer elongate tape having a first end and a second end opposite said first end, a length along a third outer longitudinal axis extending between said first end and said second end, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width; anda third inner elongate tape coupled along the inner sides of said slats proximate to an outer region of said slats, said second inner elongate tape having a first end and a second end opposite said first end, a length along a third inner longitudinal axis extending between said first end and said second end of said first inner elongate tape, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width. 35. A roll-up covering for an architectural opening, comprising: a) at least a first outer elongate tape having a first end, a second end, and defining a length between the first end and the second end, the first outer elongate tape further defining a lateral width, a thickness, and a first central longitudinal axis between the first end and second end of the first outer elongate tape;b) at least a first inner elongate tape disposed proximate to the outer elongate tape, the first inner elongate tape having a first end, a second end, and defining a length between the first end and the second end, the first inner elongate tape further defining a lateral width, a thickness, and a second central longitudinal axis between the first end and second end of the first inner elongate tape;c) a plurality of flexible slats disposed between and coupled to the first outer elongate tape and the first inner elongate tape, the slats each having a first end and a second end, and an inner longitudinal edge and an outer longitudinal edge between the first end and the second end and defining a length of the slat, and a width between the inner longitudinal edge and the outer longitudinal edge, the slats being oriented transversely with respect to the first and second central longitudinal axes when the roll-up covering is in an expanded configuration and the inner and outer longitudinal edges of the slats defining a length that is substantially parallel to the lateral width of the first outer elongate tape and first inner elongate tape; andd) a plurality of thin elongate stiffeners, each elongate stiffener has a length parallel to the length of the slat, a width perpendicular to its length, an inward face and an outward face that are defined by surfaces defined by its length and width, and a thickness perpendicular to its length and width, the thickness being less than the width;wherein;the plurality of slats, first outer elongate tape, and first inner elongate tape define a sub assembly that is configured to be rolled up;the first inner elongate tape is located radially inwardly with respect to the first outer elongate tape when the sub assembly is rolled up andat least one stiffener is attached to at least one of an inner edge region along an inner edge of at least one slat and an outer edge region along an outer edge of the at least one slat. 36. The roll-up covering of claim 35, further comprising: a roller having a first end and a second end, a width between the first end and the second end, a diameter, a central rotational axis, and a radius of curvature. 37. The roll-up covering of claim 36, wherein at least one inward face of at least one elongate stiffener has an elongate concave face along its length that faces the roller when the roll-up covering is rolled up around the roller. 38. The roll-up covering of claim 35, wherein the inward face of the at least one elongate stiffener faces toward a rotational axis when the sub assembly is rolled up, and at least one face of the at least one elongate stiffener is substantially parallel to at least one of the first outer elongate tape and the first inner elongate tape. 39. The roll-up covering of claim 38, wherein as configured in the sub assembly, the at least one slat is disposed between and attached to the outer elongate tape and a face of the at least one elongate stiffener. 40. The roll-up covering of claim 39, wherein at least one face of the at least one elongate stiffener is substantially parallel to the at least one slat where the at least one slat is attached to the at least one elongate stiffener. 41. The roll-up covering of claim 39, wherein at least one inward face of at least one elongate stiffener is concave. 42. The roll-up covering of claim 38, wherein as configured in the sub assembly, the at least one elongate stiffener is disposed between and attached to the at least one slat and the inner elongate tape. 43. The roll-up covering of claim 42, wherein at least one face of the at least one elongate stiffener is substantially parallel to the inner elongate tape where the at least one slat is attached to the inner elongate tape. 44. The roll-up covering of claim 42, wherein the at least one elongate stiffener has a curved cross section in a plane perpendicular to each face and the inward face of the at least one elongate stiffener is concave. 45. The roll-up covering of claim 35, wherein at least one slat is attached to at least one elongate tape via at least one of (i) an adhesive, (ii) one or more fasteners, (iii) stitching, (iv) ultrasonic welding, and (v) three dimensional weaving. 46. The roll-up covering of claim 35, wherein at least one elongate stiffener is comprised of a material different from the materials of at least one of the inner elongate tape, the outer elongate tape, and at least of the one slats. 47. The roll-up covering of claim 35, wherein: the plurality of slats each have an upper face and a lower face defined by the surfaces defined by the length and width of the at least one slat; anda first elongate stiffener is attached to the upper face of the at least one slat, and a second elongate stiffener is attached to the lower face of the at least one slat. 48. The roll-up covering of claim 35, further comprising: a second outer elongate tape having a first end and a second end opposite said first end, a length along a second outer longitudinal axis extending between said first end and said second end, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width; anda second inner elongate tape disposed proximate to the second outer elongate tape, said second inner elongate tape having a first end and a second end opposite said first end, a length along a second inner longitudinal axis extending between said first end and said second end of said first inner elongate tape, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width. 49. The roll-up covering of claim 48, further comprising: a third outer elongate tape coupled along the outer sides of said slats proximate to an outer region of said slats, said third outer elongate tape having a first end and a second end opposite said first end, a length along a third outer longitudinal axis extending between said first end and said second end, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width; anda third inner elongate tape coupled along the inner sides of said slats proximate to an outer region of said slats, said second inner elongate tape having a first end and a second end opposite said first end, a length along a third inner longitudinal axis extending between said first end and said second end of said first inner elongate tape, a lateral width substantially perpendicular to said length, and a thickness substantially perpendicular to said length and width.