We propose a quark model for the electron and the vacuum pion tetrahedron fabric, where the electron is a non-elementary, non-point like exotic tetraquark, and the vacuum fabric is comprised of exotic pion tetraquark tetrahedrons comprised of the u ,d ,u ̃ ,d ̃ quarks and antiquarks. We assume that electron tetraquarks perform rapid quark flavor exchange reactions with the vacuum pion tetraquark tetrahedrons fabric forming and electron and pion tetraquarks cloud. Motion of the electron tetraquark tetrahedron on the vacuum pion tetraquark tetrahedron fabric is performed by a u and d quark flavor exchange reactions by tunneling through a potential barrier between the electron tetraquark tetrahedron and the vacuum pion tetraquark tetrahedron sites that transform the electron tetraquark tetrahedrons into pion tetraquark tetrahedrons and vice versa. We develop a semiclassical quark molecular dynamics scheme for bound states of mesons and exotic tetraquarks and show that the exotic pion tetraquark tetrahedron binding energy is about 0.0486 GeV comparing to the free di-meson dd ̃ and uu ̃ energies. Lattice QCD computations may prove the quark model for the electron and the vacuum pion tetraquark fabric and may allow calculating the mass of the proposed pion and electron exotic tetraquarks.