A fenestration apparatus (100, 200) comprising: at least one glazing pane (102, 104, 202, 204) capable of being installed in an opening of a building envelope; and a tessellated structure (106, 206) disposed adjacent to the at least one glazing pane (102, 104, 202, 204), the tessellated structure (106, 206) comprising: at least one partition having a first face and a second face, the at least one partition defining a plurality of spatially separated cells (110, 210) within a substantially contiguous region of the opening, each of the plurality of spatially separated cells (110, 210) having a cell area and a cell depth; wherein each of the plurality of spatially separated cells (110, 210) is at least partially surrounded by the first face of the at least one partition, the second face of the at least one partition, or a combination of the first face and the second face of the at least one partition; wherein a ratio of the cell depth to the cell area of the plurality of spatially separated cells is at least 2.0 whereby a U-factor of the fenestration apparatus (100, 200) is reduced when compared to a fenestration device having a same configuration but no tessellated structure; the fenestration apparatus is characterized in that the luminous reflectance of the first face of the at least one partition is greater than or equal to about 99% when measured with respect to CIE illuminant D 65; and in that a diffuser positioned adjacent to the tessellated structure and configured to refract or reflect light propagating through the diffuser in a manner that alters or obscures a view of the tessellated structure (106, 206) from inside the building. at least one glazing pane (102, 104, 202, 204) capable of being installed in an opening of a building envelope; and a tessellated structure (106, 206) disposed adjacent to the at least one glazing pane (102, 104, 202, 204), the tessellated structure (106, 206) comprising: at least one partition having a first face and a second face, the at least one partition defining a plurality of spatially separated cells (110, 210) within a substantially contiguous region of the opening, each of the plurality of spatially separated cells (110, 210) having a cell area and a cell depth; wherein each of the plurality of spatially separated cells (110, 210) is at least partially surrounded by the first face of the at least one partition, the second face of the at least one partition, or a combination of the first face and the second face of the at least one partition; wherein a ratio of the cell depth to the cell area of the plurality of spatially separated cells is at least 2.0 whereby a U-factor of the fenestration apparatus (100, 200) is reduced when compared to a fenestration device having a same configuration but no tessellated structure; the fenestration apparatus is characterized in that the luminous reflectance of the first face of the at least one partition is greater than or equal to about 99% when measured with respect to CIE illuminant D 65; and in that a diffuser positioned adjacent to the tessellated structure and configured to refract or reflect light propagating through the diffuser in a manner that alters or obscures a view of the tessellated structure (106, 206) from inside the building.