The thick broken line (green inside the on-line version) denotes the dance direction anticipated at that specific time of day, MI-503 web calculated as described in ?. In (c), the thin lines (blue inside the on the net version) depict the dance orientation histogram. The thick line (red within the on-line version) depicts the mean direction in the waggle axis, taking into account the up ?down symmetry in the dance directions, as described in ?. This imply direction is oriented 91.78 counterclockwise relative for the horizontal rightward direction. (On line version in colour.)-20 -R = 0.496 q measured = ?.3?-15 -10 -5 0 521 bees 61dances 499 waggles15Figure 3. Outcomes of Experiment 3, in which bees flew inside a tunnel with axially polarized illumination, as depicted by the lines on the ceiling in (a). This illumination mimics the pattern of polarized illumination that a bee would practical experience if it had been to fly inside a direction such title= j.1369-6513.1999.00027.x that the sun is 908 towards the proper, as shown in (b), or 908 to the left. In (c), the thin lines (blue within the on the net version) depict the dance orientation histogram.Al sky more than a period of 1 day (13 March 2008) with the sun at many positions as shown in (a). The tunnel pointed inside a direction 188 east of true North. The panels show orientation histograms with the waggle axes obtained on this title= 1472-6920-13-86 day at numerous times on the day: (b) 7.56 ?9.09, (c) 9.15 ?9.30, (d ) ten.47?11.10, (e) 11.10 ?11.20, ( f ) 12.41?12.46, (g) 14.13 ?14.25 and (h) 15.20?16.15. In each panel, the thin lines (blue inside the on the internet version) depict the dance orientation histogram. The thick continuous line (red inside the on line version) shows the mean dance vector. For clarity, the mean dance vector is shown as 6?the actual length. Thus, the maximum feasible length with the mean vector as shown here would be six.0, as opposed to 1.0. The thick broken line (green in the on the internet version) denotes the dance path anticipated at that distinct time of day, calculated as described in ?. These values are 145.08, 136.08, 103.68, 96.28, 42.88, 11.78 and ?.78, respectively in (b) by way of (h), the angles being defined as optimistic counterclockwise with respect for the rightward horizontal path. The length of this line has no significance, nevertheless it is shown equal to the length from the thick line to facilitate comparison of their directions. Within this and subsequent figures every single panel shows the magnitude (R) and direction (u) of your imply vector calculated as described in ?, and the variety of bees, quantity of dances and variety of waggles analysed. (On the net version in colour.)(a) (b)(a) (b)rstb.royalsocietypublishing.org Phil. Trans. R. Soc. B 369:(c)(c)20---R = 0.424 -15 q measured = 91.7?-15 -10 -5 014 bees 50 dances 413 waggles10-10 -Figure two. Benefits of Experiment 2, in which bees flew inside a tunnel with transversely polarized illumination, as depicted by the lines on the ceiling in (a).