The Configuration Space of Regular Spherical Even Polygons

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Critical value</td><td class="align_center">The number of critical points</td><td class="align_center">The index</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left"><span style="width: 31.5601ptpx;"><svg height="11.5564pt" id="M110" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 31.5601 11.5564" width="31.5601pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M324 430H196L233 583L223 592L145 529L120 430H54L29 396L31 388H111L56 126C33 15 54 -12 77 -12C137 -12 214 57 250 95L233 119C208 92 155 59 138 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International Journal of Mathematics and Mathematical Sciences

The Configuration Space of Regular Spherical Even Polygons

Table 1