I drawn the circuit in PSpice simulations software to reduce the design time:
Figure 2: Circuit Design.
It is hard to determine the number of resistor capacitor feedback filters that are needed for the circuit to oscillate. This depends on the transistor AC current gain and this gain can change with temperature and is different for each transistor that you select.
I continued adding the resistor capacitor feedback filters until the transistor started oscillating.
Step 2: Simulations
Simulations show that the circuit is producing a sinusoidal oscillation:
Figure 3: Simulations.
Step 3: Make the Circuit
I did not trust the simulations because real life components are could be different from PSpice simulation models.
I continued adding resistor capacitor low pass filters until the transistor started oscillating.
I used a 2N4427 transistor:
Figure 4: Circuit Construction.
You do not really need a heat sink for this circuit. However, I connected a heat sink because I had one in stock.