I am not sure if the RGB strip below will work with the Particle Photon. At the RGB strip product description they mention the MCU (microcontroller) should have at least a processor faster than 8 MHz as well as a highly repeatable 100nS timing precision. I searched and found that we would be okay on the processing (STM32F205 120Mhz ARM Cortex M3) but I am completely unsure about the timing precision.
Here is the link to the specific RGB strip for more details (ADAFRUIT NEOPIXEL DIGITAL RGB LED STRIP - WHITE 60 LED)
Thank you so much
Yes you should be fine. I have used my Particle Photon with an 8 LED strip and not had any issues. There is a NeoPixel Library available for the photon as well.