A J3 PLT AT DAW EXPERIENCED NEAR MISS WITH A C172. THE J3 PLT DID NOT HAVE A RADIO AT THIS CTAF ARPT AND DID NOT SIGHT THE ACFT VISUALLY UNTIL AFTER A GAR.

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I WAS DOING TOUCH-AND-GO WHEEL LNDGS FROM PWR-OFF APCHS TO THE RWY. I NORMALLY HAVE A HANDHELD VHF RADIO; BUT THIS DAY IT WAS LEFT BEHIND TO CHARGE THE BATTERY. THE PIPER J3 CUB DOES NOT HAVE AN ELECTRICAL SYS. RWY 33 HAS A R TFC PATTERN. ON MY SECOND CIRCUIT AROUND THE PATTERN ON SHORT FINAL; I HEARD THE PWR UP OF ANOTHER ACFT ENG. (THE DOORS AND WINDOWS OF THE CUB WERE OPEN AND MY ENG WAS AT IDLE; VERY EASY TO HEAR OUTSIDE THE ACFT). AS I TURNED AND LOOKED TO MY L ABOUT 45 DEGS BEHIND MY L SHOULDER I SAW A C172 TURNING TO THE L AND GOING AROUND. HE WAS VERY CLOSE. I TURNED R AND WENT AROUND. I WAS AT 100 FT AGL AND 65 MPH. HE WAS ABOUT THE SAME ALT; BUT FASTER; AND PASSED ME AS HE FLEW DOWN THE L SIDE OF THE RWY. I FLEW DOWN THE R SIDE. I STAYED IN THE TFC PATTERN; HE MADE A L TURN OUT TO THE W AND I DID NOT SEE HIM RETURN TO THE ARPT. I HAD SEARCHED THE TFC PATTERN FOR TFC BUT DID NOT SEE ANY OTHER ACFT EXCEPT FOR A CESSNA WAITING TO TAKE OFF. I NEVER SAW THE CONFLICT ACFT UNTIL I HEARD HIS ENG PWR UP. I ASSUME HE EITHER MADE A STRAIGHT-IN OR L DOWNWIND PATTERN. I CANNOT EXPLAIN WHY I DID NOT SEE HIM AS I WAS EXTRA VIGILANT (SINCE I DID NOT HAVE A RADIO). I ASSUME HE DID NOT SEE ME EITHER AND I BELIEVE THERE WERE AT LEAST 2 PEOPLE IN THE OTHER ACFT. I WOULD RECOMMEND PLTS FLY THE PUBLISHED VFR PATTERNS FOR UNCTLED ARPTS; SOMETIMES IT BECOMES A FREE FOR ALL AT THESE ARPTS. IF EVERYONE FLIES THE SAME PATTERN; IT WOULD HELP IN SEEING TFC. I CAN ONLY ASSUME HE DID NOT FLY THE PUBLISHED PATTERN SINCE NO ONE ON THE GND SAW HIM EITHER -- INCLUDING AN FAA MAINT MAN WHO WAS WORKING ON THE VASI.