Anticube calculator and formula

This function calculates the volume, surface area and height of an anticube. An anticube is a cube with one side twisted 45 degrees.

To calculate, select a property and enter its value. Then click on 'Calculate'.

Anticube calculator

Input

Decimal places

Results

Side a

Volume V

Surface S

Height h

Formulas for an anticube

Surface

\(\displaystyle A = 2 \cdot (1+\sqrt{3}) \cdot a^2 \;\;\;≈ 5.4641 \cdot a^2\)

Volume

\(\displaystyle V =\frac{1}{3} \cdot \sqrt{(1 + \sqrt{2})} \cdot \sqrt{(2+\sqrt{2})} \cdot a^3 \;\;\;≈ 0.957 \cdot a^3\)

Height

\(\displaystyle h = \sqrt{1 - \frac{1}{2+\sqrt{2}}} \cdot a \;\;\;≈0.8409\cdot a\)