Desmic Mittens

Mo, Ma, Mb, and Mc are the four versions of the Mittenpunkt. gMo, etc., are their isogonal conjugates. Together With ABCG the form a desmic system of 3 quadrangles. This is 12 points and 16 lines with 4 lines through a point and 3 points per line. This is in fact the configuration of a projective cube, which is how they are drawn.

Here is the desmic system of the centers of similarity of the circumcircle to the incircle family.

Here is the desmic system of the Feuerback points.