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The squashed 7-sphere   $S^{7}$   is a 7-sphere with an Einstein metric given by the canonical variation and its cone   $\mathbb {R}^{8} - \{0 \}$   has full holonomy   ${\rm Spin}(7)$  . There is a canonical calibrating 4-form   $\Phi$   on   $\mathbb {R}^{8} - \{0 \}$  . A minimal 3-submanifold in   $S^{7}$   is called associative if its cone is calibrated by   $\Phi$  .

SOME ASSOCIATIVE SUBMANIFOLDS OF THE SQUASHED 7-SPHERE