The Recognition Badge:
The Recognition Badge is a representation of the coat-of-arms of this fraternity. On the seal the shield would be azure, charged with the Hand of Sincerity, the Book of Morality, and the Lamp of Scholarship, all of or. The crest is the All-seeing Eye. The supporters, springs of acacia. The whole will be underscored by our motto Arete Biou Kubernates.

The Jeweled Badge:
The jeweled badge of the fraternity is an equilateral gold triangle with twelve pearls bordering an azure field upon which will be charged the gold Greek letters "Sigma Mu Sigma" and a diamond All-seeing Eye.

The Plain Badge:
The plain badge of the fraternity is taken from Square and Compass.
The Badge is a gold square bordering a field of azure and charged with a gold compass and the gold Greek letters for "Sigma Mu Sigma" between the points of the compass.
It represents the lower of the two fraternal orders.

The Pledge Pin:
The pledge button of this fraternity is a gold circular button with an equilateral azure triangle thereupon.