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When designing your piece, you may need to locate specific functional points:

Watch this brief explanation of why some rearranged triangular puzzles seem to have a missing piece due to slight slope differences: Taniarar

Where angular bisectors meet; the center of an inscribed circle. When designing your piece, you may need to

Where medians meet; the geometric center of the triangle. When designing your piece

If you are building a physical piece, such as a triangle shelf or frame, use these common methods:

For an equilateral triangle, each piece should be cut at a 30-degree angle (to create 60-degree internal angles). For a right-angle frame, a 45-degree miter is standard.

The Missing Piece Puzzle: Why This 'Triangle' Doesn't Add Up polymathematic YouTube• Jan 14, 2025 DIY Wood Triangle Shelf | HGTV