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1
Combine sugar, 1 cup water, and orange peel strips in medium saucepan. Stir over medium heat until sugar dissolves and syrup comes to boil. Reduce heat to medium-low and simmer 1 minute. DO AHEAD:
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2
Position 1 rack in top third and 1 rack in bottom third of oven and preheat to 325u00b0F. Draw two 12 x 4-inch rectangles, spacing 2 inches apart, on each of 2 sheets of parchment paper (4 rectangles total). Turn over each parchment sheet onto large rimmed baking sheet (rectangles will show through). Spray parchment with nonstick spray.
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3
Place slivered almonds, 1 cup sugar, and coarse salt in processor. Scrape in seeds from vanilla bean halves. Blend until nuts are finely ground. Using electric mixer, beat egg whites in large bowl until soft peaks form. Add remaining 3 tablespoons sugar, 1 tablespoon at a time, and beat until stiff but not dry. Fold nut mixture into egg whites. Spread 1/4 of macaroon batter evenly within each rectangle, filling completely.
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4
Bake macaroon layers until golden and almost firm to touch in center, reversing sheets after 20 minutes, 35 to 40 minutes total. Cool on sheets.
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5
Place 10 tablespoons orange syrup in large saucepan and bring to simmer over medium-low heat (reserve remaining syrup). Add chocolate to saucepan and stir until chocolate is melted and smooth. Remove from heat. Cool until frosting begins to thicken, stirring often, 20 to 30 minutes.
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6
Place 1 macaroon layer on long platter. Spread 1/2 cup frosting evenly over. Top with another macaroon layer. Spread 1/2 cup frosting evenly over. Repeat 1 more time. Top with last macaroon layer, flat side up. Spread remaining frosting over top and sides of torte. Press sliced almonds onto sides of torte. DO AHEAD:
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7
Thinly slice whole oranges crosswise into rounds. Cut slices into quarters and place in remaining reserved syrup for compote. Slice torte; place on plates. Spoon orange compote alongside.
