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1
Cook rind in heavy medium saucepan of boiling water 1 minute; drain.
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2
Bring more water to boil in same pan; add rind, boil 1 minute, and drain.
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3
Repeat 3 more times (for total of 5 times).
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4
Combine blanched rind, sugar, grapefruit juice, and star anise in same medium saucepan.
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5
Stir over medium heat until sugar dissolves.
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6
Reduce heat to medium-low and simmer until mixture is almost dry, stirring occasionally, about 18 minutes.
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7
Discard star anise.
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8
Transfer mixture to mini processor and puree until smooth.
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9
Transfer marmalade to small bowl.
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10
DO AHEAD: Can be made 2 weeks ahead.
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11
Cover and chill.
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12
Blend flour, powdered sugar, and salt in processor 5 seconds.
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13
Add butter; using on/off turns, cut in butter until fine meal forms.
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14
Add whipping cream; blend until moist clumps form.
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15
Shape dough into thin square; wrap and chill 30 minutes.
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16
Line small baking sheet with parchment paper.
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17
Roll out dough on lightly floured surface to 1/8-inch-thick square, trimming if necessary.
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18
Cut six 3x2-inch rectangles; transfer to prepared sheet.
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19
Cover and chill at least 30 minutes and up to 1 day.
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20
Preheat oven to 350F.
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21
Bake pastries uncovered until pale golden but brown at edges, about 12 minutes.
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22
Cool pastries on sheet.
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23
Preheat oven to 250F.
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24
Line large rimmed baking sheet with parchment paper.
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25
Cut top and bottom 1/2 inch off each grapefruit.
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26
Stand each on 1 flat end.
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27
Following contour of fruit, cut off all peel and white pith.
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28
Working over bowl, cut grapefruits between membranes, releasing segments into bowl.
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29
Drain grapefruit segments well.
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30
Arrange segments, on sides and spaced apart, on prepared sheet.
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31
Bake segments until dry to touch but still moist inside, about 1 hour.
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32
Cool on sheet.
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33
Spread 1 tablespoon marmalade on each pastry.
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34
Place pastries on plates.
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35
Arrange 3 grapefruit segments on each.
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36
Scoop Edamame Ice Cream alongside, garnish with celery leaves, and sprinkle lightly with sesame seeds.
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37
*A brown star-shaped seedpod; available in the spice section of some supermarkets and at specialty foods stores and Asian markets.
