The best replacement for tangrams is pattern blocks.

The best alternatives to tangrams are rated as following:
★★★★★  pattern blocks

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Speaking about tangrams, one probably shouldn't forget about triangles.

Other search terms related to tangrams and their ratings are:
★★★★★ triangles
★★★ geometric shapes
You have in mind a companion for tangrams and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of tangrams in all years. Click on graph for more.
tangrams
pattern blocks