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The shape of wigwam consists of 8 equilateral triangles. This means the area of each of the two parts should be equal to the area of 4 equilateral triangles. An equilateral triangle can be considered as 1/2 of a rhombus when the latter is divided in half with its shorter diagonal (the rhombus A above). When the same rhombus is divided in half with its longer diagonal (the rhombus B above) two equal triangles are obtained as well, though they are not equilateral. Because in both cases the same rhombus is divided, the area of a triangle from the rhombus B equals the area of a triangle from the rhombus A, in other words it equals the area of the equilateral triangle.
Because of the aforementioned proportions between the triangles, the wigwam should be divided in two parts of the same area as is shown in the illustration on the left (can be done in the symmetrical way also). The shaded part consists of three equilateral triangles and one triangle obtained from the rhombus B division, which in turn also equals the area of the equilateral triangle. Based on this the area of the white part consists of 4 equilateral triangles as well (8 minus 4).
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